--- _id: '8184' abstract: - lang: eng text: "Denote by ∆N the N-dimensional simplex. A map f : ∆N → Rd is an almost r-embedding if fσ1∩. . .∩fσr = ∅ whenever σ1, . . . , σr are pairwise disjoint faces. A counterexample to the topological Tverberg conjecture asserts that if r is not a prime power and d ≥ 2r + 1, then there is an almost r-embedding ∆(d+1)(r−1) → Rd. This was improved by Blagojevi´c–Frick–Ziegler using a simple construction of higher-dimensional counterexamples by taking k-fold join power of lower-dimensional ones. We improve this further (for d large compared to r): If r is not a prime power and N := (d+ 1)r−r l\r\nd + 2 r + 1 m−2, then there is an almost r-embedding ∆N → Rd. For the r-fold van Kampen–Flores conjecture we also produce counterexamples which are stronger than previously known. Our proof is based on generalizations of the Mabillard–Wagner theorem on construction of almost r-embeddings from equivariant maps, and of the Ozaydin theorem on existence of equivariant maps. " acknowledgement: We would like to thank F. Frick for helpful discussions article_number: '1908.08731' article_processing_charge: No author: - first_name: Sergey full_name: Avvakumov, Sergey id: 3827DAC8-F248-11E8-B48F-1D18A9856A87 last_name: Avvakumov - first_name: R. full_name: Karasev, R. last_name: Karasev - first_name: A. full_name: Skopenkov, A. last_name: Skopenkov citation: ama: Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv. apa: Avvakumov, S., Karasev, R., & Skopenkov, A. (n.d.). Stronger counterexamples to the topological Tverberg conjecture. arXiv. arXiv. chicago: Avvakumov, Sergey, R. Karasev, and A. Skopenkov. “Stronger Counterexamples to the Topological Tverberg Conjecture.” ArXiv. arXiv, n.d. ieee: S. Avvakumov, R. Karasev, and A. Skopenkov, “Stronger counterexamples to the topological Tverberg conjecture,” arXiv. arXiv. ista: Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv, 1908.08731. mla: Avvakumov, Sergey, et al. “Stronger Counterexamples to the Topological Tverberg Conjecture.” ArXiv, 1908.08731, arXiv. short: S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.). date_created: 2020-07-30T10:45:34Z date_published: 2019-08-23T00:00:00Z date_updated: 2023-09-08T11:20:02Z day: '23' department: - _id: UlWa external_id: arxiv: - '1908.08731' isi: - '000986519600004' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1908.08731 month: '08' oa: 1 oa_version: Preprint project: - _id: 26611F5C-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P31312 name: Algorithms for Embeddings and Homotopy Theory publication: arXiv publication_status: submitted publisher: arXiv related_material: record: - id: '8156' relation: dissertation_contains status: public status: public title: Stronger counterexamples to the topological Tverberg conjecture type: preprint user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2019' ... --- _id: '6430' abstract: - lang: eng text: "A proxy re-encryption (PRE) scheme is a public-key encryption scheme that allows the holder of a key pk to derive a re-encryption key for any other key \U0001D45D\U0001D458′. This re-encryption key lets anyone transform ciphertexts under pk into ciphertexts under \U0001D45D\U0001D458′ without having to know the underlying message, while transformations from \U0001D45D\U0001D458′ to pk should not be possible (unidirectional). Security is defined in a multi-user setting against an adversary that gets the users’ public keys and can ask for re-encryption keys and can corrupt users by requesting their secret keys. Any ciphertext that the adversary cannot trivially decrypt given the obtained secret and re-encryption keys should be secure.\r\n\r\nAll existing security proofs for PRE only show selective security, where the adversary must first declare the users it wants to corrupt. This can be lifted to more meaningful adaptive security by guessing the set of corrupted users among the n users, which loses a factor exponential in Open image in new window , rendering the result meaningless already for moderate Open image in new window .\r\n\r\nJafargholi et al. (CRYPTO’17) proposed a framework that in some cases allows to give adaptive security proofs for schemes which were previously only known to be selectively secure, while avoiding the exponential loss that results from guessing the adaptive choices made by an adversary. We apply their framework to PREs that satisfy some natural additional properties. Concretely, we give a more fine-grained reduction for several unidirectional PREs, proving adaptive security at a much smaller loss. The loss depends on the graph of users whose edges represent the re-encryption keys queried by the adversary. For trees and chains the loss is quasi-polynomial in the size and for general graphs it is exponential in their depth and indegree (instead of their size as for previous reductions). Fortunately, trees and low-depth graphs cover many, if not most, interesting applications.\r\n\r\nOur results apply e.g. to the bilinear-map based PRE schemes by Ateniese et al. (NDSS’05 and CT-RSA’09), Gentry’s FHE-based scheme (STOC’09) and the LWE-based scheme by Chandran et al. (PKC’14)." alternative_title: - LNCS article_processing_charge: No author: - first_name: Georg full_name: Fuchsbauer, Georg id: 46B4C3EE-F248-11E8-B48F-1D18A9856A87 last_name: Fuchsbauer - first_name: Chethan full_name: Kamath Hosdurg, Chethan id: 4BD3F30E-F248-11E8-B48F-1D18A9856A87 last_name: Kamath Hosdurg - first_name: Karen full_name: Klein, Karen id: 3E83A2F8-F248-11E8-B48F-1D18A9856A87 last_name: Klein - first_name: Krzysztof Z full_name: Pietrzak, Krzysztof Z id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87 last_name: Pietrzak orcid: 0000-0002-9139-1654 citation: ama: 'Fuchsbauer G, Kamath Hosdurg C, Klein K, Pietrzak KZ. Adaptively secure proxy re-encryption. In: Vol 11443. Springer Nature; 2019:317-346. doi:10.1007/978-3-030-17259-6_11' apa: 'Fuchsbauer, G., Kamath Hosdurg, C., Klein, K., & Pietrzak, K. Z. (2019). Adaptively secure proxy re-encryption (Vol. 11443, pp. 317–346). Presented at the PKC: Public-Key Cryptograhy, Beijing, China: Springer Nature. https://doi.org/10.1007/978-3-030-17259-6_11' chicago: Fuchsbauer, Georg, Chethan Kamath Hosdurg, Karen Klein, and Krzysztof Z Pietrzak. “Adaptively Secure Proxy Re-Encryption,” 11443:317–46. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-17259-6_11. ieee: 'G. Fuchsbauer, C. Kamath Hosdurg, K. Klein, and K. Z. Pietrzak, “Adaptively secure proxy re-encryption,” presented at the PKC: Public-Key Cryptograhy, Beijing, China, 2019, vol. 11443, pp. 317–346.' ista: 'Fuchsbauer G, Kamath Hosdurg C, Klein K, Pietrzak KZ. 2019. Adaptively secure proxy re-encryption. PKC: Public-Key Cryptograhy, LNCS, vol. 11443, 317–346.' mla: Fuchsbauer, Georg, et al. Adaptively Secure Proxy Re-Encryption. Vol. 11443, Springer Nature, 2019, pp. 317–46, doi:10.1007/978-3-030-17259-6_11. short: G. Fuchsbauer, C. Kamath Hosdurg, K. Klein, K.Z. Pietrzak, in:, Springer Nature, 2019, pp. 317–346. conference: end_date: 2019-04-17 location: Beijing, China name: 'PKC: Public-Key Cryptograhy' start_date: 2019-04-14 date_created: 2019-05-13T08:13:46Z date_published: 2019-04-06T00:00:00Z date_updated: 2023-09-08T11:33:20Z day: '06' department: - _id: KrPi doi: 10.1007/978-3-030-17259-6_11 ec_funded: 1 intvolume: ' 11443' language: - iso: eng main_file_link: - open_access: '1' url: https://eprint.iacr.org/2018/426 month: '04' oa: 1 oa_version: Preprint page: 317-346 project: - _id: 258AA5B2-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '682815' name: Teaching Old Crypto New Tricks publication_identifier: eissn: - '16113349' isbn: - '9783030172589' issn: - '03029743' publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '10035' relation: dissertation_contains status: public scopus_import: '1' status: public title: Adaptively secure proxy re-encryption type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 11443 year: '2019' ... --- _id: '6069' abstract: - lang: eng text: Electron transport in two-dimensional conducting materials such as graphene, with dominant electron–electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the classical Ohm’s law. The transport behavior of these materials is best described by low Reynolds number hydrodynamics, where the constitutive pressure–speed relation is Stoke’s law. Here we report evidence of such vortices observed in a viscous flow of Newtonian fluid in a microfluidic device consisting of a rectangular cavity—analogous to the electronic system. We extend our experimental observations to elliptic cavities of different eccentricities, and validate them by numerically solving bi-harmonic equation obtained for the viscous flow with no-slip boundary conditions. We verify the existence of a predicted threshold at which vortices appear. Strikingly, we find that a two-dimensional theoretical model captures the essential features of three-dimensional Stokes flow in experiments. article_number: '937' article_processing_charge: No author: - first_name: Jonathan full_name: Mayzel, Jonathan last_name: Mayzel - first_name: Victor full_name: Steinberg, Victor last_name: Steinberg - first_name: Atul full_name: Varshney, Atul id: 2A2006B2-F248-11E8-B48F-1D18A9856A87 last_name: Varshney orcid: 0000-0002-3072-5999 citation: ama: Mayzel J, Steinberg V, Varshney A. Stokes flow analogous to viscous electron current in graphene. Nature Communications. 2019;10. doi:10.1038/s41467-019-08916-5 apa: Mayzel, J., Steinberg, V., & Varshney, A. (2019). Stokes flow analogous to viscous electron current in graphene. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-019-08916-5 chicago: Mayzel, Jonathan, Victor Steinberg, and Atul Varshney. “Stokes Flow Analogous to Viscous Electron Current in Graphene.” Nature Communications. Springer Nature, 2019. https://doi.org/10.1038/s41467-019-08916-5. ieee: J. Mayzel, V. Steinberg, and A. Varshney, “Stokes flow analogous to viscous electron current in graphene,” Nature Communications, vol. 10. Springer Nature, 2019. ista: Mayzel J, Steinberg V, Varshney A. 2019. Stokes flow analogous to viscous electron current in graphene. Nature Communications. 10, 937. mla: Mayzel, Jonathan, et al. “Stokes Flow Analogous to Viscous Electron Current in Graphene.” Nature Communications, vol. 10, 937, Springer Nature, 2019, doi:10.1038/s41467-019-08916-5. short: J. Mayzel, V. Steinberg, A. Varshney, Nature Communications 10 (2019). date_created: 2019-03-05T13:18:30Z date_published: 2019-02-26T00:00:00Z date_updated: 2023-09-08T11:39:02Z day: '26' ddc: - '530' - '532' department: - _id: BjHo doi: 10.1038/s41467-019-08916-5 ec_funded: 1 external_id: isi: - '000459704600001' file: - access_level: open_access checksum: 61192fc49e0d44907c2a4fe384e4b97f content_type: application/pdf creator: dernst date_created: 2019-03-05T13:33:04Z date_updated: 2020-07-14T12:47:18Z file_id: '6070' file_name: 2019_NatureComm_Mayzel.pdf file_size: 2646391 relation: main_file file_date_updated: 2020-07-14T12:47:18Z has_accepted_license: '1' intvolume: ' 10' isi: 1 language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '02' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Nature Communications publication_identifier: issn: - 2041-1723 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Stokes flow analogous to viscous electron current in graphene tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 10 year: '2019' ... --- _id: '6014' abstract: - lang: eng text: Speed of sound waves in gases and liquids are governed by the compressibility of the medium. There exists another type of non-dispersive wave where the wave speed depends on stress instead of elasticity of the medium. A well-known example is the Alfven wave, which propagates through plasma permeated by a magnetic field with the speed determined by magnetic tension. An elastic analogue of Alfven waves has been predicted in a flow of dilute polymer solution where the elastic stress of the stretching polymers determines the elastic wave speed. Here we present quantitative evidence of elastic Alfven waves in elastic turbulence of a viscoelastic creeping flow between two obstacles in channel flow. The key finding in the experimental proof is a nonlinear dependence of the elastic wave speed cel on the Weissenberg number Wi, which deviates from predictions based on a model of linear polymer elasticity. article_number: '652' article_processing_charge: No article_type: original author: - first_name: Atul full_name: Varshney, Atul id: 2A2006B2-F248-11E8-B48F-1D18A9856A87 last_name: Varshney orcid: 0000-0002-3072-5999 - first_name: Victor full_name: Steinberg, Victor last_name: Steinberg citation: ama: Varshney A, Steinberg V. Elastic alfven waves in elastic turbulence. Nature Communications. 2019;10. doi:10.1038/s41467-019-08551-0 apa: Varshney, A., & Steinberg, V. (2019). Elastic alfven waves in elastic turbulence. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-019-08551-0 chicago: Varshney, Atul, and Victor Steinberg. “Elastic Alfven Waves in Elastic Turbulence.” Nature Communications. Springer Nature, 2019. https://doi.org/10.1038/s41467-019-08551-0. ieee: A. Varshney and V. Steinberg, “Elastic alfven waves in elastic turbulence,” Nature Communications, vol. 10. Springer Nature, 2019. ista: Varshney A, Steinberg V. 2019. Elastic alfven waves in elastic turbulence. Nature Communications. 10, 652. mla: Varshney, Atul, and Victor Steinberg. “Elastic Alfven Waves in Elastic Turbulence.” Nature Communications, vol. 10, 652, Springer Nature, 2019, doi:10.1038/s41467-019-08551-0. short: A. Varshney, V. Steinberg, Nature Communications 10 (2019). date_created: 2019-02-15T07:10:46Z date_published: 2019-02-08T00:00:00Z date_updated: 2023-09-08T11:39:54Z day: '08' ddc: - '530' department: - _id: BjHo doi: 10.1038/s41467-019-08551-0 ec_funded: 1 external_id: arxiv: - '1902.03763' isi: - '000458175300001' file: - access_level: open_access checksum: d3acf07eaad95ec040d8e8565fc9ac37 content_type: application/pdf creator: dernst date_created: 2019-02-15T07:15:00Z date_updated: 2020-07-14T12:47:17Z file_id: '6015' file_name: 2019_NatureComm_Varshney.pdf file_size: 1331490 relation: main_file file_date_updated: 2020-07-14T12:47:17Z has_accepted_license: '1' intvolume: ' 10' isi: 1 language: - iso: eng month: '02' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Nature Communications publication_identifier: issn: - 2041-1723 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Elastic alfven waves in elastic turbulence tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 10 year: '2019' ... --- _id: '6451' abstract: - lang: eng text: Epidermal growth factor receptor (EGFR) signaling controls skin development and homeostasis inmice and humans, and its deficiency causes severe skin inflammation, which might affect epidermalstem cell behavior. Here, we describe the inflammation-independent effects of EGFR deficiency dur-ing skin morphogenesis and in adult hair follicle stem cells. Expression and alternative splicing analysisof RNA sequencing data from interfollicular epidermis and outer root sheath indicate that EGFR con-trols genes involved in epidermal differentiation and also in centrosome function, DNA damage, cellcycle, and apoptosis. Genetic experiments employingp53deletion in EGFR-deficient epidermis revealthat EGFR signaling exhibitsp53-dependent functions in proliferative epidermal compartments, aswell asp53-independent functions in differentiated hair shaft keratinocytes. Loss of EGFR leads toabsence of LEF1 protein specifically in the innermost epithelial hair layers, resulting in disorganizationof medulla cells. Thus, our results uncover important spatial and temporal features of cell-autonomousEGFR functions in the epidermis. article_processing_charge: No author: - first_name: Nicole full_name: Amberg, Nicole id: 4CD6AAC6-F248-11E8-B48F-1D18A9856A87 last_name: Amberg orcid: 0000-0002-3183-8207 - first_name: Panagiota A. full_name: Sotiropoulou, Panagiota A. last_name: Sotiropoulou - first_name: Gerwin full_name: Heller, Gerwin last_name: Heller - first_name: Beate M. full_name: Lichtenberger, Beate M. last_name: Lichtenberger - first_name: Martin full_name: Holcmann, Martin last_name: Holcmann - first_name: Bahar full_name: Camurdanoglu, Bahar last_name: Camurdanoglu - first_name: Temenuschka full_name: Baykuscheva-Gentscheva, Temenuschka last_name: Baykuscheva-Gentscheva - first_name: Cedric full_name: Blanpain, Cedric last_name: Blanpain - first_name: Maria full_name: Sibilia, Maria last_name: Sibilia citation: ama: Amberg N, Sotiropoulou PA, Heller G, et al. EGFR controls hair shaft differentiation in a p53-independent manner. iScience. 2019;15:243-256. doi:10.1016/j.isci.2019.04.018 apa: Amberg, N., Sotiropoulou, P. A., Heller, G., Lichtenberger, B. M., Holcmann, M., Camurdanoglu, B., … Sibilia, M. (2019). EGFR controls hair shaft differentiation in a p53-independent manner. IScience. Elsevier. https://doi.org/10.1016/j.isci.2019.04.018 chicago: Amberg, Nicole, Panagiota A. Sotiropoulou, Gerwin Heller, Beate M. Lichtenberger, Martin Holcmann, Bahar Camurdanoglu, Temenuschka Baykuscheva-Gentscheva, Cedric Blanpain, and Maria Sibilia. “EGFR Controls Hair Shaft Differentiation in a P53-Independent Manner.” IScience. Elsevier, 2019. https://doi.org/10.1016/j.isci.2019.04.018. ieee: N. Amberg et al., “EGFR controls hair shaft differentiation in a p53-independent manner,” iScience, vol. 15. Elsevier, pp. 243–256, 2019. ista: Amberg N, Sotiropoulou PA, Heller G, Lichtenberger BM, Holcmann M, Camurdanoglu B, Baykuscheva-Gentscheva T, Blanpain C, Sibilia M. 2019. EGFR controls hair shaft differentiation in a p53-independent manner. iScience. 15, 243–256. mla: Amberg, Nicole, et al. “EGFR Controls Hair Shaft Differentiation in a P53-Independent Manner.” IScience, vol. 15, Elsevier, 2019, pp. 243–56, doi:10.1016/j.isci.2019.04.018. short: N. Amberg, P.A. Sotiropoulou, G. Heller, B.M. Lichtenberger, M. Holcmann, B. Camurdanoglu, T. Baykuscheva-Gentscheva, C. Blanpain, M. Sibilia, IScience 15 (2019) 243–256. date_created: 2019-05-14T11:47:40Z date_published: 2019-05-31T00:00:00Z date_updated: 2023-09-08T11:38:04Z day: '31' ddc: - '570' department: - _id: SiHi doi: 10.1016/j.isci.2019.04.018 external_id: isi: - '000470104600022' file: - access_level: open_access checksum: a9ad2296726c9474ad5860c9c2f53622 content_type: application/pdf creator: dernst date_created: 2019-05-14T11:51:51Z date_updated: 2020-07-14T12:47:30Z file_id: '6452' file_name: 2019_iScience_Amberg.pdf file_size: 8365970 relation: main_file file_date_updated: 2020-07-14T12:47:30Z has_accepted_license: '1' intvolume: ' 15' isi: 1 language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/4.0/ month: '05' oa: 1 oa_version: Published Version page: 243-256 publication: iScience publication_identifier: issn: - 2589-0042 publication_status: published publisher: Elsevier quality_controlled: '1' status: public title: EGFR controls hair shaft differentiation in a p53-independent manner tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 15 year: '2019' ... --- _id: '10879' abstract: - lang: eng text: We study effects of a bounded and compactly supported perturbation on multidimensional continuum random Schrödinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schrödinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015), 560–565]. The spectral shift function plays an important role in our analysis of Anderson orthogonality. We identify it with the index of the corresponding pair of spectral projections and explore the consequences thereof. All our results rely on the main technical estimate of this paper which guarantees separate exponential decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b. Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication operator corresponding to the indicator function of a unit cube centred about a∈Rd, and f is in a suitable class of functions of bounded variation with distributional derivative supported in the region of complete localisation for H. acknowledgement: M.G. was supported by the DFG under grant GE 2871/1-1. article_processing_charge: No article_type: original author: - first_name: Adrian M full_name: Dietlein, Adrian M id: 317CB464-F248-11E8-B48F-1D18A9856A87 last_name: Dietlein - first_name: Martin full_name: Gebert, Martin last_name: Gebert - first_name: Peter full_name: Müller, Peter last_name: Müller citation: ama: Dietlein AM, Gebert M, Müller P. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. 2019;9(3):921-965. doi:10.4171/jst/267 apa: Dietlein, A. M., Gebert, M., & Müller, P. (2019). Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. European Mathematical Society Publishing House. https://doi.org/10.4171/jst/267 chicago: Dietlein, Adrian M, Martin Gebert, and Peter Müller. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” Journal of Spectral Theory. European Mathematical Society Publishing House, 2019. https://doi.org/10.4171/jst/267. ieee: A. M. Dietlein, M. Gebert, and P. Müller, “Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function,” Journal of Spectral Theory, vol. 9, no. 3. European Mathematical Society Publishing House, pp. 921–965, 2019. ista: Dietlein AM, Gebert M, Müller P. 2019. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. 9(3), 921–965. mla: Dietlein, Adrian M., et al. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” Journal of Spectral Theory, vol. 9, no. 3, European Mathematical Society Publishing House, 2019, pp. 921–65, doi:10.4171/jst/267. short: A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965. date_created: 2022-03-18T12:36:42Z date_published: 2019-03-01T00:00:00Z date_updated: 2023-09-08T11:35:31Z day: '01' department: - _id: LaEr doi: 10.4171/jst/267 external_id: arxiv: - '1701.02956' isi: - '000484709400006' intvolume: ' 9' isi: 1 issue: '3' keyword: - Random Schrödinger operators - spectral shift function - Anderson orthogonality language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1701.02956 month: '03' oa: 1 oa_version: Preprint page: 921-965 publication: Journal of Spectral Theory publication_identifier: issn: - 1664-039X publication_status: published publisher: European Mathematical Society Publishing House quality_controlled: '1' scopus_import: '1' status: public title: Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 9 year: '2019' ... --- _id: '10878' abstract: - lang: eng text: Starting from a microscopic model for a system of neurons evolving in time which individually follow a stochastic integrate-and-fire type model, we study a mean-field limit of the system. Our model is described by a system of SDEs with discontinuous coefficients for the action potential of each neuron and takes into account the (random) spatial configuration of neurons allowing the interaction to depend on it. In the limit as the number of particles tends to infinity, we obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only with respect to one variable and discontinuous coefficients. We also study strong well-posedness of the system of SDEs and prove the existence and uniqueness of a weak measure-valued solution to the PDE, obtained as the limit of the laws of the empirical measures for the system of particles. acknowledgement: "The second author has been partially supported by INdAM through the GNAMPA Research\r\nProject (2017) “Sistemi stocastici singolari: buona posizione e problemi di controllo”. The third\r\nauthor was partly funded by the Austrian Science Fund (FWF) project F 65." article_processing_charge: No article_type: original author: - first_name: Franco full_name: Flandoli, Franco last_name: Flandoli - first_name: Enrico full_name: Priola, Enrico last_name: Priola - first_name: Giovanni A full_name: Zanco, Giovanni A id: 47491882-F248-11E8-B48F-1D18A9856A87 last_name: Zanco citation: ama: Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. 2019;39(6):3037-3067. doi:10.3934/dcds.2019126 apa: Flandoli, F., Priola, E., & Zanco, G. A. (2019). A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences. https://doi.org/10.3934/dcds.2019126 chicago: Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences, 2019. https://doi.org/10.3934/dcds.2019126. ieee: F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous coefficients for neurons with spatial interaction,” Discrete and Continuous Dynamical Systems, vol. 39, no. 6. American Institute of Mathematical Sciences, pp. 3037–3067, 2019. ista: Flandoli F, Priola E, Zanco GA. 2019. A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. 39(6), 3037–3067. mla: Flandoli, Franco, et al. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” Discrete and Continuous Dynamical Systems, vol. 39, no. 6, American Institute of Mathematical Sciences, 2019, pp. 3037–67, doi:10.3934/dcds.2019126. short: F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067. date_created: 2022-03-18T12:33:34Z date_published: 2019-06-01T00:00:00Z date_updated: 2023-09-08T11:34:45Z day: '01' department: - _id: JaMa doi: 10.3934/dcds.2019126 external_id: arxiv: - '1708.04156' isi: - '000459954800003' intvolume: ' 39' isi: 1 issue: '6' keyword: - Applied Mathematics - Discrete Mathematics and Combinatorics - Analysis language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1708.04156 month: '06' oa: 1 oa_version: Preprint page: 3037-3067 project: - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems publication: Discrete and Continuous Dynamical Systems publication_identifier: issn: - 1553-5231 publication_status: published publisher: American Institute of Mathematical Sciences quality_controlled: '1' scopus_import: '1' status: public title: A mean-field model with discontinuous coefficients for neurons with spatial interaction type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 39 year: '2019' ... --- _id: '6935' abstract: - lang: eng text: "This paper investigates the power of preprocessing in the CONGEST model. Schmid and Suomela (ACM HotSDN 2013) introduced the SUPPORTED CONGEST model to study the application of distributed algorithms in Software-Defined Networks (SDNs). In this paper, we show that a large class of lower bounds in the CONGEST model still hold in the SUPPORTED model, highlighting the robustness of these bounds. This also raises the question how much does\r\npreprocessing help in the CONGEST model." article_processing_charge: No author: - first_name: Klaus-Tycho full_name: Foerster, Klaus-Tycho last_name: Foerster - first_name: Janne full_name: Korhonen, Janne id: C5402D42-15BC-11E9-A202-CA2BE6697425 last_name: Korhonen - first_name: Joel full_name: Rybicki, Joel id: 334EFD2E-F248-11E8-B48F-1D18A9856A87 last_name: Rybicki orcid: 0000-0002-6432-6646 - first_name: Stefan full_name: Schmid, Stefan last_name: Schmid citation: ama: 'Foerster K-T, Korhonen J, Rybicki J, Schmid S. Does preprocessing help under congestion? In: Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing. ACM; 2019:259-261. doi:10.1145/3293611.3331581' apa: 'Foerster, K.-T., Korhonen, J., Rybicki, J., & Schmid, S. (2019). Does preprocessing help under congestion? In Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing (pp. 259–261). Toronto, ON, Canada: ACM. https://doi.org/10.1145/3293611.3331581' chicago: Foerster, Klaus-Tycho, Janne Korhonen, Joel Rybicki, and Stefan Schmid. “Does Preprocessing Help under Congestion?” In Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing, 259–61. ACM, 2019. https://doi.org/10.1145/3293611.3331581. ieee: K.-T. Foerster, J. Korhonen, J. Rybicki, and S. Schmid, “Does preprocessing help under congestion?,” in Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing, Toronto, ON, Canada, 2019, pp. 259–261. ista: 'Foerster K-T, Korhonen J, Rybicki J, Schmid S. 2019. Does preprocessing help under congestion? Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing. PODC: Symposium on Principles of Distributed Computing, 259–261.' mla: Foerster, Klaus-Tycho, et al. “Does Preprocessing Help under Congestion?” Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing, ACM, 2019, pp. 259–61, doi:10.1145/3293611.3331581. short: K.-T. Foerster, J. Korhonen, J. Rybicki, S. Schmid, in:, Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing, ACM, 2019, pp. 259–261. conference: end_date: 2019-08-02 location: Toronto, ON, Canada name: 'PODC: Symposium on Principles of Distributed Computing' start_date: 2019-07-29 date_created: 2019-10-08T12:57:14Z date_published: 2019-08-01T00:00:00Z date_updated: 2023-09-08T11:37:22Z day: '01' department: - _id: DaAl doi: 10.1145/3293611.3331581 ec_funded: 1 external_id: arxiv: - '1905.03012' isi: - '000570442000037' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1905.03012 month: '08' oa: 1 oa_version: Preprint page: 259-261 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing publication_identifier: isbn: - '9781450362177' publication_status: published publisher: ACM quality_controlled: '1' scopus_import: '1' status: public title: Does preprocessing help under congestion? type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2019' ... --- _id: '138' abstract: - lang: eng text: Autoregulation is the direct modulation of gene expression by the product of the corresponding gene. Autoregulation of bacterial gene expression has been mostly studied at the transcriptional level, when a protein acts as the cognate transcriptional repressor. A recent study investigating dynamics of the bacterial toxin–antitoxin MazEF system has shown how autoregulation at both the transcriptional and post-transcriptional levels affects the heterogeneity of Escherichia coli populations. Toxin–antitoxin systems hold a crucial but still elusive part in bacterial response to stress. This perspective highlights how these modules can also serve as a great model system for investigating basic concepts in gene regulation. However, as the genomic background and environmental conditions substantially influence toxin activation, it is important to study (auto)regulation of toxin–antitoxin systems in well-defined setups as well as in conditions that resemble the environmental niche. article_processing_charge: Yes (via OA deal) author: - first_name: Nela full_name: Nikolic, Nela id: 42D9CABC-F248-11E8-B48F-1D18A9856A87 last_name: Nikolic orcid: 0000-0001-9068-6090 citation: ama: 'Nikolic N. Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system. Current Genetics. 2019;65(1):133-138. doi:10.1007/s00294-018-0879-8' apa: 'Nikolic, N. (2019). Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system. Current Genetics. Springer. https://doi.org/10.1007/s00294-018-0879-8' chicago: 'Nikolic, Nela. “Autoregulation of Bacterial Gene Expression: Lessons from the MazEF Toxin–Antitoxin System.” Current Genetics. Springer, 2019. https://doi.org/10.1007/s00294-018-0879-8.' ieee: 'N. Nikolic, “Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system,” Current Genetics, vol. 65, no. 1. Springer, pp. 133–138, 2019.' ista: 'Nikolic N. 2019. Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system. Current Genetics. 65(1), 133–138.' mla: 'Nikolic, Nela. “Autoregulation of Bacterial Gene Expression: Lessons from the MazEF Toxin–Antitoxin System.” Current Genetics, vol. 65, no. 1, Springer, 2019, pp. 133–38, doi:10.1007/s00294-018-0879-8.' short: N. Nikolic, Current Genetics 65 (2019) 133–138. date_created: 2018-12-11T11:44:50Z date_published: 2019-02-01T00:00:00Z date_updated: 2023-09-08T13:23:42Z day: '01' ddc: - '570' department: - _id: CaGu doi: 10.1007/s00294-018-0879-8 ec_funded: 1 external_id: isi: - '000456958800017' file: - access_level: open_access checksum: 6779708b0b632a1a6ed28c56f5161142 content_type: application/pdf creator: dernst date_created: 2019-02-06T07:50:58Z date_updated: 2020-07-14T12:44:47Z file_id: '5930' file_name: 2019_CurrentGenetics_Nikolic.pdf file_size: 776399 relation: main_file file_date_updated: 2020-07-14T12:44:47Z has_accepted_license: '1' intvolume: ' 65' isi: 1 issue: '1' language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: 133-138 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Current Genetics publication_status: published publisher: Springer publist_id: '7785' quality_controlled: '1' scopus_import: '1' status: public title: 'Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 65 year: '2019' ... --- _id: '151' abstract: - lang: eng text: We construct planar bi-Sobolev mappings whose local volume distortion is bounded from below by a given function f∈Lp with p>1. More precisely, for any 1<q<(p+1)/2 we construct W1,q-bi-Sobolev maps with identity boundary conditions; for f∈L∞, we provide bi-Lipschitz maps. The basic building block of our construction are bi-Lipschitz maps which stretch a given compact subset of the unit square by a given factor while preserving the boundary. The construction of these stretching maps relies on a slight strengthening of the celebrated covering result of Alberti, Csörnyei, and Preiss for measurable planar sets in the case of compact sets. We apply our result to a model functional in nonlinear elasticity, the integrand of which features fast blowup as the Jacobian determinant of the deformation becomes small. For such functionals, the derivation of the equilibrium equations for minimizers requires an additional regularization of test functions, which our maps provide. article_processing_charge: No author: - first_name: Julian L full_name: Fischer, Julian L id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87 last_name: Fischer orcid: 0000-0002-0479-558X - first_name: Olivier full_name: Kneuss, Olivier last_name: Kneuss citation: ama: Fischer JL, Kneuss O. Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity. Journal of Differential Equations. 2019;266(1):257-311. doi:10.1016/j.jde.2018.07.045 apa: Fischer, J. L., & Kneuss, O. (2019). Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity. Journal of Differential Equations. Elsevier. https://doi.org/10.1016/j.jde.2018.07.045 chicago: Fischer, Julian L, and Olivier Kneuss. “Bi-Sobolev Solutions to the Prescribed Jacobian Inequality in the Plane with L p Data and Applications to Nonlinear Elasticity.” Journal of Differential Equations. Elsevier, 2019. https://doi.org/10.1016/j.jde.2018.07.045. ieee: J. L. Fischer and O. Kneuss, “Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity,” Journal of Differential Equations, vol. 266, no. 1. Elsevier, pp. 257–311, 2019. ista: Fischer JL, Kneuss O. 2019. Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity. Journal of Differential Equations. 266(1), 257–311. mla: Fischer, Julian L., and Olivier Kneuss. “Bi-Sobolev Solutions to the Prescribed Jacobian Inequality in the Plane with L p Data and Applications to Nonlinear Elasticity.” Journal of Differential Equations, vol. 266, no. 1, Elsevier, 2019, pp. 257–311, doi:10.1016/j.jde.2018.07.045. short: J.L. Fischer, O. Kneuss, Journal of Differential Equations 266 (2019) 257–311. date_created: 2018-12-11T11:44:54Z date_published: 2019-01-05T00:00:00Z date_updated: 2023-09-08T13:25:35Z day: '05' department: - _id: JuFi doi: 10.1016/j.jde.2018.07.045 external_id: arxiv: - '1408.1587' isi: - '000449108500010' intvolume: ' 266' isi: 1 issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1408.1587 month: '01' oa: 1 oa_version: Preprint page: 257 - 311 publication: Journal of Differential Equations publication_status: published publisher: Elsevier publist_id: '7770' quality_controlled: '1' scopus_import: '1' status: public title: Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 266 year: '2019' ...