--- _id: '6002' abstract: - lang: eng text: The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation-invariant Bose gas at positive temperature. We prove the existence of minimizers in the case of repulsive interactions given by a sufficiently regular two-body potential. Furthermore, we prove the existence of a phase transition in this model and provide its phase diagram. article_processing_charge: No author: - first_name: Marcin M full_name: Napiórkowski, Marcin M id: 4197AD04-F248-11E8-B48F-1D18A9856A87 last_name: Napiórkowski - first_name: Robin full_name: Reuvers, Robin last_name: Reuvers - first_name: Jan Philip full_name: Solovej, Jan Philip last_name: Solovej citation: ama: 'Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 2018;229(3):1037-1090. doi:10.1007/s00205-018-1232-6' apa: 'Napiórkowski, M. M., Reuvers, R., & Solovej, J. P. (2018). The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-018-1232-6' chicago: 'Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00205-018-1232-6.' ieee: 'M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy functional I: Existence of minimizers and phase diagram,” Archive for Rational Mechanics and Analysis, vol. 229, no. 3. Springer Nature, pp. 1037–1090, 2018.' ista: 'Napiórkowski MM, Reuvers R, Solovej JP. 2018. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 229(3), 1037–1090.' mla: 'Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:10.1007/s00205-018-1232-6.' short: M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090. date_created: 2019-02-14T13:40:53Z date_published: 2018-09-01T00:00:00Z date_updated: 2023-09-19T14:33:12Z day: '01' department: - _id: RoSe doi: 10.1007/s00205-018-1232-6 external_id: arxiv: - '1511.05935' isi: - '000435367300003' intvolume: ' 229' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1511.05935 month: '09' oa: 1 oa_version: Preprint page: 1037-1090 project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Archive for Rational Mechanics and Analysis publication_identifier: eissn: - 1432-0673 issn: - 0003-9527 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: 'The Bogoliubov free energy functional I: Existence of minimizers and phase diagram' type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 229 year: '2018' ... --- _id: '5996' abstract: - lang: eng text: 'In pipes, turbulence sets in despite the linear stability of the laminar Hagen–Poiseuille flow. The Reynolds number ( ) for which turbulence first appears in a given experiment – the ‘natural transition point’ – depends on imperfections of the set-up, or, more precisely, on the magnitude of finite amplitude perturbations. At onset, turbulence typically only occupies a certain fraction of the flow, and this fraction equally is found to differ from experiment to experiment. Despite these findings, Reynolds proposed that after sufficiently long times, flows may settle to steady conditions: below a critical velocity, flows should (regardless of initial conditions) always return to laminar, while above this velocity, eddying motion should persist. As will be shown, even in pipes several thousand diameters long, the spatio-temporal intermittent flow patterns observed at the end of the pipe strongly depend on the initial conditions, and there is no indication that different flow patterns would eventually settle to a (statistical) steady state. Exploiting the fact that turbulent puffs do not age (i.e. they are memoryless), we continuously recreate the puff sequence exiting the pipe at the pipe entrance, and in doing so introduce periodic boundary conditions for the puff pattern. This procedure allows us to study the evolution of the flow patterns for arbitrary long times, and we find that after times in excess of advective time units, indeed a statistical steady state is reached. Although the resulting flows remain spatio-temporally intermittent, puff splitting and decay rates eventually reach a balance, so that the turbulent fraction fluctuates around a well-defined level which only depends on . In accordance with Reynolds’ proposition, we find that at lower (here 2020), flows eventually always resume to laminar, while for higher ( ), turbulence persists. The critical point for pipe flow hence falls in the interval of $2020 , which is in very good agreement with the recently proposed value of . The latter estimate was based on single-puff statistics and entirely neglected puff interactions. Unlike in typical contact processes where such interactions strongly affect the percolation threshold, in pipe flow, the critical point is only marginally influenced. Interactions, on the other hand, are responsible for the approach to the statistical steady state. As shown, they strongly affect the resulting flow patterns, where they cause ‘puff clustering’, and these regions of large puff densities are observed to travel across the puff pattern in a wave-like fashion.' acknowledgement: ' We also thank Philipp Maier and the IST Austria workshop for theirdedicated technical support' article_processing_charge: No article_type: original author: - first_name: Mukund full_name: Vasudevan, Mukund id: 3C5A959A-F248-11E8-B48F-1D18A9856A87 last_name: Vasudevan - first_name: Björn full_name: Hof, Björn id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: Vasudevan M, Hof B. The critical point of the transition to turbulence in pipe flow. Journal of Fluid Mechanics. 2018;839:76-94. doi:10.1017/jfm.2017.923 apa: Vasudevan, M., & Hof, B. (2018). The critical point of the transition to turbulence in pipe flow. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2017.923 chicago: Vasudevan, Mukund, and Björn Hof. “The Critical Point of the Transition to Turbulence in Pipe Flow.” Journal of Fluid Mechanics. Cambridge University Press, 2018. https://doi.org/10.1017/jfm.2017.923. ieee: M. Vasudevan and B. Hof, “The critical point of the transition to turbulence in pipe flow,” Journal of Fluid Mechanics, vol. 839. Cambridge University Press, pp. 76–94, 2018. ista: Vasudevan M, Hof B. 2018. The critical point of the transition to turbulence in pipe flow. Journal of Fluid Mechanics. 839, 76–94. mla: Vasudevan, Mukund, and Björn Hof. “The Critical Point of the Transition to Turbulence in Pipe Flow.” Journal of Fluid Mechanics, vol. 839, Cambridge University Press, 2018, pp. 76–94, doi:10.1017/jfm.2017.923. short: M. Vasudevan, B. Hof, Journal of Fluid Mechanics 839 (2018) 76–94. date_created: 2019-02-14T12:50:50Z date_published: 2018-03-25T00:00:00Z date_updated: 2023-09-19T14:37:49Z day: '25' department: - _id: BjHo doi: 10.1017/jfm.2017.923 ec_funded: 1 external_id: arxiv: - '1709.06372' isi: - '000437858300003' intvolume: ' 839' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1709.06372 month: '03' oa: 1 oa_version: Preprint page: 76-94 project: - _id: 25152F3A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '306589' name: Decoding the complexity of turbulence at its origin publication: Journal of Fluid Mechanics publication_identifier: eissn: - 1469-7645 issn: - 0022-1120 publication_status: published publisher: Cambridge University Press quality_controlled: '1' scopus_import: '1' status: public title: The critical point of the transition to turbulence in pipe flow type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 839 year: '2018' ... --- _id: '5993' abstract: - lang: eng text: 'In this article, we consider the termination problem of probabilistic programs with real-valued variables. Thequestions concerned are: qualitative ones that ask (i) whether the program terminates with probability 1(almost-sure termination) and (ii) whether the expected termination time is finite (finite termination); andquantitative ones that ask (i) to approximate the expected termination time (expectation problem) and (ii) tocompute a boundBsuch that the probability not to terminate afterBsteps decreases exponentially (con-centration problem). To solve these questions, we utilize the notion of ranking supermartingales, which isa powerful approach for proving termination of probabilistic programs. In detail, we focus on algorithmicsynthesis of linear ranking-supermartingales over affine probabilistic programs (Apps) with both angelic anddemonic non-determinism. An important subclass of Apps is LRApp which is defined as the class of all Appsover which a linear ranking-supermartingale exists.Our main contributions are as follows. Firstly, we show that the membership problem of LRApp (i) canbe decided in polynomial time for Apps with at most demonic non-determinism, and (ii) isNP-hard and inPSPACEfor Apps with angelic non-determinism. Moreover, theNP-hardness result holds already for Appswithout probability and demonic non-determinism. Secondly, we show that the concentration problem overLRApp can be solved in the same complexity as for the membership problem of LRApp. Finally, we show thatthe expectation problem over LRApp can be solved in2EXPTIMEand isPSPACE-hard even for Apps withoutprobability and non-determinism (i.e., deterministic programs). Our experimental results demonstrate theeffectiveness of our approach to answer the qualitative and quantitative questions over Apps with at mostdemonic non-determinism.' article_number: '7' article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Hongfei full_name: Fu, Hongfei id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87 last_name: Fu - first_name: Petr full_name: Novotný, Petr id: 3CC3B868-F248-11E8-B48F-1D18A9856A87 last_name: Novotný - first_name: Rouzbeh full_name: Hasheminezhad, Rouzbeh last_name: Hasheminezhad citation: ama: Chatterjee K, Fu H, Novotný P, Hasheminezhad R. Algorithmic analysis of qualitative and quantitative termination problems for affine probabilistic programs. ACM Transactions on Programming Languages and Systems. 2018;40(2). doi:10.1145/3174800 apa: Chatterjee, K., Fu, H., Novotný, P., & Hasheminezhad, R. (2018). Algorithmic analysis of qualitative and quantitative termination problems for affine probabilistic programs. ACM Transactions on Programming Languages and Systems. Association for Computing Machinery (ACM). https://doi.org/10.1145/3174800 chicago: Chatterjee, Krishnendu, Hongfei Fu, Petr Novotný, and Rouzbeh Hasheminezhad. “Algorithmic Analysis of Qualitative and Quantitative Termination Problems for Affine Probabilistic Programs.” ACM Transactions on Programming Languages and Systems. Association for Computing Machinery (ACM), 2018. https://doi.org/10.1145/3174800. ieee: K. Chatterjee, H. Fu, P. Novotný, and R. Hasheminezhad, “Algorithmic analysis of qualitative and quantitative termination problems for affine probabilistic programs,” ACM Transactions on Programming Languages and Systems, vol. 40, no. 2. Association for Computing Machinery (ACM), 2018. ista: Chatterjee K, Fu H, Novotný P, Hasheminezhad R. 2018. Algorithmic analysis of qualitative and quantitative termination problems for affine probabilistic programs. ACM Transactions on Programming Languages and Systems. 40(2), 7. mla: Chatterjee, Krishnendu, et al. “Algorithmic Analysis of Qualitative and Quantitative Termination Problems for Affine Probabilistic Programs.” ACM Transactions on Programming Languages and Systems, vol. 40, no. 2, 7, Association for Computing Machinery (ACM), 2018, doi:10.1145/3174800. short: K. Chatterjee, H. Fu, P. Novotný, R. Hasheminezhad, ACM Transactions on Programming Languages and Systems 40 (2018). date_created: 2019-02-14T12:29:10Z date_published: 2018-06-01T00:00:00Z date_updated: 2023-09-19T14:38:42Z day: '01' department: - _id: KrCh doi: 10.1145/3174800 ec_funded: 1 external_id: arxiv: - '1510.08517' isi: - '000434634500003' intvolume: ' 40' isi: 1 issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1510.08517 month: '06' oa: 1 oa_version: Submitted Version project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: ACM Transactions on Programming Languages and Systems publication_identifier: issn: - 0164-0925 publication_status: published publisher: Association for Computing Machinery (ACM) quality_controlled: '1' related_material: record: - id: '1438' relation: earlier_version status: public scopus_import: '1' status: public title: Algorithmic analysis of qualitative and quantitative termination problems for affine probabilistic programs type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 40 year: '2018' ... --- _id: '5999' abstract: - lang: eng text: "We introduce for each quiver Q and each algebraic oriented cohomology theory A, the cohomological Hall algebra (CoHA) of Q, as the A-homology of the moduli of representations of the preprojective algebra of Q. This generalizes the K-theoretic Hall algebra of commuting varieties defined by Schiffmann-Vasserot. When A is the Morava K-theory, we show evidence that this algebra is a candidate for Lusztig's reformulated conjecture on modular representations of algebraic groups.\r\nWe construct an action of the preprojective CoHA on the A-homology of Nakajima quiver varieties. We compare this with the action of the Borel subalgebra of Yangian when A is the intersection theory. We also give a shuffle algebra description of this CoHA in terms of the underlying formal group law of A. As applications, we obtain a shuffle description of the Yangian. " article_processing_charge: No author: - first_name: Yaping full_name: Yang, Yaping last_name: Yang - first_name: Gufang full_name: Zhao, Gufang id: 2BC2AC5E-F248-11E8-B48F-1D18A9856A87 last_name: Zhao citation: ama: Yang Y, Zhao G. The cohomological Hall algebra of a preprojective algebra. Proceedings of the London Mathematical Society. 2018;116(5):1029-1074. doi:10.1112/plms.12111 apa: Yang, Y., & Zhao, G. (2018). The cohomological Hall algebra of a preprojective algebra. Proceedings of the London Mathematical Society. Oxford University Press. https://doi.org/10.1112/plms.12111 chicago: Yang, Yaping, and Gufang Zhao. “The Cohomological Hall Algebra of a Preprojective Algebra.” Proceedings of the London Mathematical Society. Oxford University Press, 2018. https://doi.org/10.1112/plms.12111. ieee: Y. Yang and G. Zhao, “The cohomological Hall algebra of a preprojective algebra,” Proceedings of the London Mathematical Society, vol. 116, no. 5. Oxford University Press, pp. 1029–1074, 2018. ista: Yang Y, Zhao G. 2018. The cohomological Hall algebra of a preprojective algebra. Proceedings of the London Mathematical Society. 116(5), 1029–1074. mla: Yang, Yaping, and Gufang Zhao. “The Cohomological Hall Algebra of a Preprojective Algebra.” Proceedings of the London Mathematical Society, vol. 116, no. 5, Oxford University Press, 2018, pp. 1029–74, doi:10.1112/plms.12111. short: Y. Yang, G. Zhao, Proceedings of the London Mathematical Society 116 (2018) 1029–1074. date_created: 2019-02-14T13:14:22Z date_published: 2018-05-01T00:00:00Z date_updated: 2023-09-19T14:37:19Z day: '01' department: - _id: TaHa doi: 10.1112/plms.12111 external_id: arxiv: - '1407.7994' isi: - '000431506400001' intvolume: ' 116' isi: 1 issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1407.7994 month: '05' oa: 1 oa_version: Preprint page: 1029-1074 publication: Proceedings of the London Mathematical Society publication_identifier: issn: - 0024-6115 publication_status: published publisher: Oxford University Press quality_controlled: '1' scopus_import: '1' status: public title: The cohomological Hall algebra of a preprojective algebra type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 116 year: '2018' ... --- _id: '5989' abstract: - lang: eng text: Schistosomes are the causative agents of schistosomiasis, a neglected tropical disease affecting over 230 million people worldwide.Additionally to their major impact on human health, they are also models of choice in evolutionary biology. These parasitic flatwormsare unique among the common hermaphroditic trematodes as they have separate sexes. This so-called “evolutionary scandal”displays a female heterogametic genetic sex-determination system (ZZ males and ZW females), as well as a pronounced adult sexualdimorphism. These phenotypic differences are determined by a shared set of genes in both sexes, potentially leading to intralocussexual conflicts. To resolve these conflicts in sexually selected traits, molecular mechanisms such as sex-biased gene expression couldoccur, but parent-of-origin gene expression also provides an alternative. In this work we investigated the latter mechanism, that is,genes expressed preferentially from either the maternal or the paternal allele, inSchistosoma mansonispecies. To this end, tran-scriptomes from male and female hybrid adults obtained by strain crosses were sequenced. Strain-specific single nucleotide poly-morphism (SNP) markers allowed us to discriminate the parental origin, while reciprocal crosses helped to differentiate parentalexpression from strain-specific expression. We identified genes containing SNPs expressed in a parent-of-origin manner consistentwith paternal and maternal imprints. Although the majority of the SNPs was identified in mitochondrial and Z-specific loci, theremaining SNPs found in male and female transcriptomes were situated in genes that have the potential to explain sexual differencesin schistosome parasites. Furthermore, we identified and validated four new Z-specific scaffolds. article_processing_charge: No author: - first_name: Julien full_name: Kincaid-Smith, Julien last_name: Kincaid-Smith - first_name: Marion A L full_name: Picard, Marion A L id: 2C921A7A-F248-11E8-B48F-1D18A9856A87 last_name: Picard orcid: 0000-0002-8101-2518 - first_name: Céline full_name: Cosseau, Céline last_name: Cosseau - first_name: Jérôme full_name: Boissier, Jérôme last_name: Boissier - first_name: Dany full_name: Severac, Dany last_name: Severac - first_name: Christoph full_name: Grunau, Christoph last_name: Grunau - first_name: Eve full_name: Toulza, Eve last_name: Toulza citation: ama: Kincaid-Smith J, Picard MAL, Cosseau C, et al. Parent-of-Origin-Dependent Gene Expression in Male and Female Schistosome Parasites. Genome Biology and Evolution. 2018;10(3):840-856. doi:10.1093/gbe/evy037 apa: Kincaid-Smith, J., Picard, M. A. L., Cosseau, C., Boissier, J., Severac, D., Grunau, C., & Toulza, E. (2018). Parent-of-Origin-Dependent Gene Expression in Male and Female Schistosome Parasites. Genome Biology and Evolution. Oxford University Press. https://doi.org/10.1093/gbe/evy037 chicago: Kincaid-Smith, Julien, Marion A L Picard, Céline Cosseau, Jérôme Boissier, Dany Severac, Christoph Grunau, and Eve Toulza. “Parent-of-Origin-Dependent Gene Expression in Male and Female Schistosome Parasites.” Genome Biology and Evolution. Oxford University Press, 2018. https://doi.org/10.1093/gbe/evy037. ieee: J. Kincaid-Smith et al., “Parent-of-Origin-Dependent Gene Expression in Male and Female Schistosome Parasites,” Genome Biology and Evolution, vol. 10, no. 3. Oxford University Press, pp. 840–856, 2018. ista: Kincaid-Smith J, Picard MAL, Cosseau C, Boissier J, Severac D, Grunau C, Toulza E. 2018. Parent-of-Origin-Dependent Gene Expression in Male and Female Schistosome Parasites. Genome Biology and Evolution. 10(3), 840–856. mla: Kincaid-Smith, Julien, et al. “Parent-of-Origin-Dependent Gene Expression in Male and Female Schistosome Parasites.” Genome Biology and Evolution, vol. 10, no. 3, Oxford University Press, 2018, pp. 840–56, doi:10.1093/gbe/evy037. short: J. Kincaid-Smith, M.A.L. Picard, C. Cosseau, J. Boissier, D. Severac, C. Grunau, E. Toulza, Genome Biology and Evolution 10 (2018) 840–856. date_created: 2019-02-14T12:13:52Z date_published: 2018-03-01T00:00:00Z date_updated: 2023-09-19T14:39:08Z day: '01' ddc: - '570' department: - _id: BeVi doi: 10.1093/gbe/evy037 external_id: isi: - '000429483700013' file: - access_level: open_access checksum: 736a459cb77de5824354466bb0331caf content_type: application/pdf creator: dernst date_created: 2019-02-14T12:20:01Z date_updated: 2020-07-14T12:47:15Z file_id: '5991' file_name: 2018_GBE_Kincaid_Smith.pdf file_size: 529755 relation: main_file file_date_updated: 2020-07-14T12:47:15Z has_accepted_license: '1' intvolume: ' 10' isi: 1 issue: '3' language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ month: '03' oa: 1 oa_version: Published Version page: 840-856 publication: Genome Biology and Evolution publication_identifier: issn: - 1759-6653 publication_status: published publisher: Oxford University Press quality_controlled: '1' scopus_import: '1' status: public title: Parent-of-Origin-Dependent Gene Expression in Male and Female Schistosome Parasites tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 10 year: '2018' ...