--- _id: '319' abstract: - lang: eng text: We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition. acknowledgement: "MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n" article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Mate full_name: Gerencser, Mate id: 44ECEDF2-F248-11E8-B48F-1D18A9856A87 last_name: Gerencser - first_name: Martin full_name: Hairer, Martin last_name: Hairer citation: ama: Gerencser M, Hairer M. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 2019;173(3-4):697–758. doi:10.1007/s00440-018-0841-1 apa: Gerencser, M., & Hairer, M. (2019). Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-018-0841-1 chicago: Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” Probability Theory and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0841-1. ieee: M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” Probability Theory and Related Fields, vol. 173, no. 3–4. Springer, pp. 697–758, 2019. ista: Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 173(3–4), 697–758. mla: Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” Probability Theory and Related Fields, vol. 173, no. 3–4, Springer, 2019, pp. 697–758, doi:10.1007/s00440-018-0841-1. short: M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758. date_created: 2018-12-11T11:45:48Z date_published: 2019-04-01T00:00:00Z date_updated: 2023-08-24T14:38:32Z day: '01' ddc: - '510' department: - _id: JaMa doi: 10.1007/s00440-018-0841-1 external_id: isi: - '000463613800001' file: - access_level: open_access checksum: 288d16ef7291242f485a9660979486e3 content_type: application/pdf creator: dernst date_created: 2018-12-17T16:25:24Z date_updated: 2020-07-14T12:46:03Z file_id: '5722' file_name: 2018_ProbTheory_Gerencser.pdf file_size: 893182 relation: main_file file_date_updated: 2020-07-14T12:46:03Z has_accepted_license: '1' intvolume: ' 173' isi: 1 issue: 3-4 language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '04' oa: 1 oa_version: Published Version page: 697–758 project: - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Probability Theory and Related Fields publication_identifier: eissn: - '14322064' issn: - '01788051' publication_status: published publisher: Springer publist_id: '7546' quality_controlled: '1' scopus_import: '1' status: public title: Singular SPDEs in domains with boundaries 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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 173 year: '2019' ... --- _id: '429' abstract: - lang: eng text: We consider real symmetric or complex hermitian random matrices with correlated entries. We prove local laws for the resolvent and universality of the local eigenvalue statistics in the bulk of the spectrum. The correlations have fast decay but are otherwise of general form. The key novelty is the detailed stability analysis of the corresponding matrix valued Dyson equation whose solution is the deterministic limit of the resolvent. acknowledgement: "Open access funding provided by Institute of Science and Technology (IST Austria).\r\n" article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Oskari H full_name: Ajanki, Oskari H id: 36F2FB7E-F248-11E8-B48F-1D18A9856A87 last_name: Ajanki - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Torben H full_name: Krüger, Torben H id: 3020C786-F248-11E8-B48F-1D18A9856A87 last_name: Krüger orcid: 0000-0002-4821-3297 citation: ama: Ajanki OH, Erdös L, Krüger TH. Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. 2019;173(1-2):293–373. doi:10.1007/s00440-018-0835-z apa: Ajanki, O. H., Erdös, L., & Krüger, T. H. (2019). Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-018-0835-z chicago: Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” Probability Theory and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0835-z. ieee: O. H. Ajanki, L. Erdös, and T. H. Krüger, “Stability of the matrix Dyson equation and random matrices with correlations,” Probability Theory and Related Fields, vol. 173, no. 1–2. Springer, pp. 293–373, 2019. ista: Ajanki OH, Erdös L, Krüger TH. 2019. Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. 173(1–2), 293–373. mla: Ajanki, Oskari H., et al. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” Probability Theory and Related Fields, vol. 173, no. 1–2, Springer, 2019, pp. 293–373, doi:10.1007/s00440-018-0835-z. short: O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 173 (2019) 293–373. date_created: 2018-12-11T11:46:25Z date_published: 2019-02-01T00:00:00Z date_updated: 2023-08-24T14:39:00Z day: '01' ddc: - '510' department: - _id: LaEr doi: 10.1007/s00440-018-0835-z ec_funded: 1 external_id: isi: - '000459396500007' file: - access_level: open_access checksum: f9354fa5c71f9edd17132588f0dc7d01 content_type: application/pdf creator: dernst date_created: 2018-12-17T16:12:08Z date_updated: 2020-07-14T12:46:26Z file_id: '5720' file_name: 2018_ProbTheory_Ajanki.pdf file_size: 1201840 relation: main_file file_date_updated: 2020-07-14T12:46:26Z has_accepted_license: '1' intvolume: ' 173' isi: 1 issue: 1-2 language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: 293–373 project: - _id: 258DCDE6-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '338804' name: Random matrices, universality and disordered quantum systems - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Probability Theory and Related Fields publication_identifier: eissn: - '14322064' issn: - '01788051' publication_status: published publisher: Springer publist_id: '7394' quality_controlled: '1' scopus_import: '1' status: public title: Stability of the matrix Dyson equation and random matrices with correlations 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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 173 year: '2019' ... --- _id: '5947' abstract: - lang: eng text: Graph algorithms applied in many applications, including social networks, communication networks, VLSI design, graphics, and several others, require dynamic modifications - addition and removal of vertices and/or edges - in the graph. This paper presents a novel concurrent non-blocking algorithm to implement a dynamic unbounded directed graph in a shared-memory machine. The addition and removal operations of vertices and edges are lock-free. For a finite sized graph, the lookup operations are wait-free. Most significant component of the presented algorithm is the reachability query in a concurrent graph. The reachability queries in our algorithm are obstruction-free and thus impose minimal additional synchronization cost over other operations. We prove that each of the data structure operations are linearizable. We extensively evaluate a sample C/C++ implementation of the algorithm through a number of micro-benchmarks. The experimental results show that the proposed algorithm scales well with the number of threads and on an average provides 5 to 7x performance improvement over a concurrent graph implementation using coarse-grained locking. article_processing_charge: No author: - first_name: Bapi full_name: Chatterjee, Bapi id: 3C41A08A-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-2742-4028 - first_name: Sathya full_name: Peri, Sathya last_name: Peri - first_name: Muktikanta full_name: Sa, Muktikanta last_name: Sa - first_name: Nandini full_name: Singhal, Nandini last_name: Singhal citation: ama: 'Chatterjee B, Peri S, Sa M, Singhal N. A simple and practical concurrent non-blocking unbounded graph with linearizable reachability queries. In: ACM International Conference Proceeding Series. ACM; 2019:168-177. doi:10.1145/3288599.3288617' apa: 'Chatterjee, B., Peri, S., Sa, M., & Singhal, N. (2019). A simple and practical concurrent non-blocking unbounded graph with linearizable reachability queries. In ACM International Conference Proceeding Series (pp. 168–177). Bangalore, India: ACM. https://doi.org/10.1145/3288599.3288617' chicago: Chatterjee, Bapi, Sathya Peri, Muktikanta Sa, and Nandini Singhal. “A Simple and Practical Concurrent Non-Blocking Unbounded Graph with Linearizable Reachability Queries.” In ACM International Conference Proceeding Series, 168–77. ACM, 2019. https://doi.org/10.1145/3288599.3288617. ieee: B. Chatterjee, S. Peri, M. Sa, and N. Singhal, “A simple and practical concurrent non-blocking unbounded graph with linearizable reachability queries,” in ACM International Conference Proceeding Series, Bangalore, India, 2019, pp. 168–177. ista: 'Chatterjee B, Peri S, Sa M, Singhal N. 2019. A simple and practical concurrent non-blocking unbounded graph with linearizable reachability queries. ACM International Conference Proceeding Series. ICDCN: Conference on Distributed Computing and Networking, 168–177.' mla: Chatterjee, Bapi, et al. “A Simple and Practical Concurrent Non-Blocking Unbounded Graph with Linearizable Reachability Queries.” ACM International Conference Proceeding Series, ACM, 2019, pp. 168–77, doi:10.1145/3288599.3288617. short: B. Chatterjee, S. Peri, M. Sa, N. Singhal, in:, ACM International Conference Proceeding Series, ACM, 2019, pp. 168–177. conference: end_date: 2019-01-07 location: Bangalore, India name: 'ICDCN: Conference on Distributed Computing and Networking' start_date: 2019-01-04 date_created: 2019-02-10T22:59:17Z date_published: 2019-01-04T00:00:00Z date_updated: 2023-08-24T14:41:53Z day: '04' department: - _id: DaAl doi: 10.1145/3288599.3288617 external_id: arxiv: - '1809.00896' isi: - '000484491600019' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1809.00896 month: '01' oa: 1 oa_version: Preprint page: 168-177 publication: ACM International Conference Proceeding Series publication_identifier: isbn: - '978-1-4503-6094-4 ' publication_status: published publisher: ACM quality_controlled: '1' scopus_import: '1' status: public title: A simple and practical concurrent non-blocking unbounded graph with linearizable reachability queries type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2019' ... --- _id: '5857' abstract: - lang: eng text: 'A thrackle is a graph drawn in the plane so that every pair of its edges meet exactly once: either at a common end vertex or in a proper crossing. We prove that any thrackle of n vertices has at most 1.3984n edges. Quasi-thrackles are defined similarly, except that every pair of edges that do not share a vertex are allowed to cross an odd number of times. It is also shown that the maximum number of edges of a quasi-thrackle on n vertices is [Formula presented](n−1), and that this bound is best possible for infinitely many values of n.' article_processing_charge: No article_type: original author: - first_name: Radoslav full_name: Fulek, Radoslav id: 39F3FFE4-F248-11E8-B48F-1D18A9856A87 last_name: Fulek orcid: 0000-0001-8485-1774 - first_name: János full_name: Pach, János last_name: Pach citation: ama: 'Fulek R, Pach J. Thrackles: An improved upper bound. Discrete Applied Mathematics. 2019;259(4):266-231. doi:10.1016/j.dam.2018.12.025' apa: 'Fulek, R., & Pach, J. (2019). Thrackles: An improved upper bound. Discrete Applied Mathematics. Elsevier. https://doi.org/10.1016/j.dam.2018.12.025' chicago: 'Fulek, Radoslav, and János Pach. “Thrackles: An Improved Upper Bound.” Discrete Applied Mathematics. Elsevier, 2019. https://doi.org/10.1016/j.dam.2018.12.025.' ieee: 'R. Fulek and J. Pach, “Thrackles: An improved upper bound,” Discrete Applied Mathematics, vol. 259, no. 4. Elsevier, pp. 266–231, 2019.' ista: 'Fulek R, Pach J. 2019. Thrackles: An improved upper bound. Discrete Applied Mathematics. 259(4), 266–231.' mla: 'Fulek, Radoslav, and János Pach. “Thrackles: An Improved Upper Bound.” Discrete Applied Mathematics, vol. 259, no. 4, Elsevier, 2019, pp. 266–231, doi:10.1016/j.dam.2018.12.025.' short: R. Fulek, J. Pach, Discrete Applied Mathematics 259 (2019) 266–231. date_created: 2019-01-20T22:59:17Z date_published: 2019-04-30T00:00:00Z date_updated: 2023-08-24T14:39:33Z day: '30' department: - _id: UlWa doi: 10.1016/j.dam.2018.12.025 external_id: arxiv: - '1708.08037' isi: - '000466061100020' intvolume: ' 259' isi: 1 issue: '4' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1708.08037 month: '04' oa: 1 oa_version: Preprint page: 266-231 project: - _id: 261FA626-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02281 name: Eliminating intersections in drawings of graphs publication: Discrete Applied Mathematics publication_identifier: issn: - 0166218X publication_status: published publisher: Elsevier quality_controlled: '1' related_material: record: - id: '433' relation: earlier_version status: public scopus_import: '1' status: public title: 'Thrackles: An improved upper bound' type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 259 year: '2019' ... --- _id: '5944' abstract: - lang: eng text: Understanding the thermodynamics of the duplication process is a fundamental step towards a comprehensive physical theory of biological systems. However, the immense complexity of real cells obscures the fundamental tensions between energy gradients and entropic contributions that underlie duplication. The study of synthetic, feasible systems reproducing part of the key ingredients of living entities but overcoming major sources of biological complexity is of great relevance to deepen the comprehension of the fundamental thermodynamic processes underlying life and its prevalence. In this paper an abstract—yet realistic—synthetic system made of small synthetic protocell aggregates is studied in detail. A fundamental relation between free energy and entropic gradients is derived for a general, non-equilibrium scenario, setting the thermodynamic conditions for the occurrence and prevalence of duplication phenomena. This relation sets explicitly how the energy gradients invested in creating and maintaining structural—and eventually, functional—elements of the system must always compensate the entropic gradients, whose contributions come from changes in the translational, configurational, and macrostate entropies, as well as from dissipation due to irreversible transitions. Work/energy relations are also derived, defining lower bounds on the energy required for the duplication event to take place. A specific example including real ternary emulsions is provided in order to grasp the orders of magnitude involved in the problem. It is found that the minimal work invested over the system to trigger a duplication event is around ~ 10−13J , which results, in the case of duplication of all the vesicles contained in a liter of emulsion, in an amount of energy around ~ 1kJ . Without aiming to describe a truly biological process of duplication, this theoretical contribution seeks to explicitly define and identify the key actors that participate in it. article_number: '9' article_processing_charge: No author: - first_name: Bernat full_name: Corominas-Murtra, Bernat id: 43BE2298-F248-11E8-B48F-1D18A9856A87 last_name: Corominas-Murtra orcid: 0000-0001-9806-5643 citation: ama: Corominas-Murtra B. Thermodynamics of duplication thresholds in synthetic protocell systems. Life. 2019;9(1). doi:10.3390/life9010009 apa: Corominas-Murtra, B. (2019). Thermodynamics of duplication thresholds in synthetic protocell systems. Life. MDPI. https://doi.org/10.3390/life9010009 chicago: Corominas-Murtra, Bernat. “Thermodynamics of Duplication Thresholds in Synthetic Protocell Systems.” Life. MDPI, 2019. https://doi.org/10.3390/life9010009. ieee: B. Corominas-Murtra, “Thermodynamics of duplication thresholds in synthetic protocell systems,” Life, vol. 9, no. 1. MDPI, 2019. ista: Corominas-Murtra B. 2019. Thermodynamics of duplication thresholds in synthetic protocell systems. Life. 9(1), 9. mla: Corominas-Murtra, Bernat. “Thermodynamics of Duplication Thresholds in Synthetic Protocell Systems.” Life, vol. 9, no. 1, 9, MDPI, 2019, doi:10.3390/life9010009. short: B. Corominas-Murtra, Life 9 (2019). date_created: 2019-02-10T22:59:15Z date_published: 2019-01-15T00:00:00Z date_updated: 2023-08-24T14:43:41Z day: '15' ddc: - '570' department: - _id: EdHa doi: 10.3390/life9010009 external_id: isi: - '000464125500001' file: - access_level: open_access checksum: 7d2322cd96ace41959909b66702d5cf4 content_type: application/pdf creator: dernst date_created: 2019-02-11T10:45:27Z date_updated: 2020-07-14T12:47:13Z file_id: '5951' file_name: 2019_Life_Corominas.pdf file_size: 963454 relation: main_file file_date_updated: 2020-07-14T12:47:13Z has_accepted_license: '1' intvolume: ' 9' isi: 1 issue: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version publication: Life publication_identifier: eissn: - '20751729' publication_status: published publisher: MDPI quality_controlled: '1' scopus_import: '1' status: public title: Thermodynamics of duplication thresholds in synthetic protocell systems 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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 9 year: '2019' ...