[{"issue":"8","abstract":[{"lang":"eng","text":"In the present note we announce a proof of a strong form of Arnold diffusion for smooth convex Hamiltonian systems. Let ${\\mathbb T}^2$ be a 2-dimensional torus and B2 be the unit ball around the origin in ${\\mathbb R}^2$ . Fix ρ > 0. Our main result says that for a 'generic' time-periodic perturbation of an integrable system of two degrees of freedom $H_0(p)+\\varepsilon H_1(\\theta,p,t),\\quad \\ \\theta\\in {\\mathbb T}^2,\\ p\\in B^2,\\ t\\in {\\mathbb T}={\\mathbb R}/{\\mathbb Z}$ , with a strictly convex H0, there exists a ρ-dense orbit (θε, pε, t)(t) in ${\\mathbb T}^2 \\times B^2 \\times {\\mathbb T}$ , namely, a ρ-neighborhood of the orbit contains ${\\mathbb T}^2 \\times B^2 \\times {\\mathbb T}$ .\r\n\r\nOur proof is a combination of geometric and variational methods. The fundamental elements of the construction are the usage of crumpled normally hyperbolic invariant cylinders from [9], flower and simple normally hyperbolic invariant manifolds from [36] as well as their kissing property at a strong double resonance. This allows us to build a 'connected' net of three-dimensional normally hyperbolic invariant manifolds. To construct diffusing orbits along this net we employ a version of the Mather variational method [41] equipped with weak KAM theory [28], proposed by Bernard in [7]."}],"extern":"1","type":"journal_article","author":[{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","first_name":"Vadim","last_name":"Kaloshin","full_name":"Kaloshin, Vadim"},{"last_name":"Zhang","first_name":"K","full_name":"Zhang, K"}],"volume":28,"oa_version":"None","date_updated":"2021-01-12T08:19:41Z","date_created":"2020-09-18T10:46:43Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"8498","year":"2015","intvolume":" 28","publisher":"IOP Publishing","title":"Arnold diffusion for smooth convex systems of two and a half degrees of freedom","status":"public","publication_status":"published","publication_identifier":{"issn":["0951-7715","1361-6544"]},"article_processing_charge":"No","month":"06","day":"30","keyword":["Mathematical Physics","General Physics and Astronomy","Applied Mathematics","Statistical and Nonlinear Physics"],"date_published":"2015-06-30T00:00:00Z","doi":"10.1088/0951-7715/28/8/2699","language":[{"iso":"eng"}],"citation":{"chicago":"Kaloshin, Vadim, and K Zhang. “Arnold Diffusion for Smooth Convex Systems of Two and a Half Degrees of Freedom.” Nonlinearity. IOP Publishing, 2015. https://doi.org/10.1088/0951-7715/28/8/2699.","short":"V. Kaloshin, K. Zhang, Nonlinearity 28 (2015) 2699–2720.","mla":"Kaloshin, Vadim, and K. Zhang. “Arnold Diffusion for Smooth Convex Systems of Two and a Half Degrees of Freedom.” Nonlinearity, vol. 28, no. 8, IOP Publishing, 2015, pp. 2699–720, doi:10.1088/0951-7715/28/8/2699.","apa":"Kaloshin, V., & Zhang, K. (2015). Arnold diffusion for smooth convex systems of two and a half degrees of freedom. Nonlinearity. IOP Publishing. https://doi.org/10.1088/0951-7715/28/8/2699","ieee":"V. Kaloshin and K. Zhang, “Arnold diffusion for smooth convex systems of two and a half degrees of freedom,” Nonlinearity, vol. 28, no. 8. IOP Publishing, pp. 2699–2720, 2015.","ista":"Kaloshin V, Zhang K. 2015. Arnold diffusion for smooth convex systems of two and a half degrees of freedom. Nonlinearity. 28(8), 2699–2720.","ama":"Kaloshin V, Zhang K. Arnold diffusion for smooth convex systems of two and a half degrees of freedom. Nonlinearity. 2015;28(8):2699-2720. doi:10.1088/0951-7715/28/8/2699"},"publication":"Nonlinearity","page":"2699-2720","article_type":"original","quality_controlled":"1"},{"author":[{"last_name":"Guardia","first_name":"Marcel","full_name":"Guardia, Marcel"},{"orcid":"0000-0002-6051-2628","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","last_name":"Kaloshin","first_name":"Vadim","full_name":"Kaloshin, Vadim"}],"date_created":"2020-09-18T10:46:50Z","date_updated":"2021-01-12T08:19:41Z","oa_version":"None","volume":17,"_id":"8499","year":"2015","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation","status":"public","publication_status":"published","intvolume":" 17","publisher":"European Mathematical Society Publishing House","abstract":[{"lang":"eng","text":"We consider the cubic defocusing nonlinear Schrödinger equation in the two dimensional torus. Fix s>1. Recently Colliander, Keel, Staffilani, Tao and Takaoka proved the existence of solutions with s-Sobolev norm growing in time.\r\n\r\nWe establish the existence of solutions with polynomial time estimates. More exactly, there is c>0 such that for any K≫1 we find a solution u and a time T such that ∥u(T)∥Hs≥K∥u(0)∥Hs. Moreover, the time T satisfies the polynomial bound 0Journal of the European Mathematical Society, vol. 17, no. 1, European Mathematical Society Publishing House, 2015, pp. 71–149, doi:10.4171/jems/499.","chicago":"Guardia, Marcel, and Vadim Kaloshin. “Growth of Sobolev Norms in the Cubic Defocusing Nonlinear Schrödinger Equation.” Journal of the European Mathematical Society. European Mathematical Society Publishing House, 2015. https://doi.org/10.4171/jems/499.","ama":"Guardia M, Kaloshin V. Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Journal of the European Mathematical Society. 2015;17(1):71-149. doi:10.4171/jems/499","apa":"Guardia, M., & Kaloshin, V. (2015). Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Journal of the European Mathematical Society. European Mathematical Society Publishing House. https://doi.org/10.4171/jems/499","ieee":"M. Guardia and V. Kaloshin, “Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation,” Journal of the European Mathematical Society, vol. 17, no. 1. European Mathematical Society Publishing House, pp. 71–149, 2015.","ista":"Guardia M, Kaloshin V. 2015. Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Journal of the European Mathematical Society. 17(1), 71–149."},"quality_controlled":"1","article_type":"original","page":"71-149","month":"02","day":"05","publication_identifier":{"issn":["1435-9855"]},"article_processing_charge":"No"},{"month":"05","publication_identifier":{"issn":["2375-2548"]},"language":[{"iso":"eng"}],"doi":"10.1126/sciadv.1400214","quality_controlled":"1","oa":1,"tmp":{"name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)"},"external_id":{"arxiv":["1505.05111"],"pmid":["26601175"]},"license":"https://creativecommons.org/licenses/by-nc/4.0/","extern":"1","file_date_updated":"2021-02-02T13:22:19Z","article_number":"e1400214","date_created":"2021-02-02T13:15:02Z","date_updated":"2023-02-23T13:47:52Z","volume":1,"author":[{"full_name":"Palacci, Jérémie A","orcid":"0000-0002-7253-9465","id":"8fb92548-2b22-11eb-b7c1-a3f0d08d7c7d","last_name":"Palacci","first_name":"Jérémie A"},{"last_name":"Sacanna","first_name":"Stefano","full_name":"Sacanna, Stefano"},{"last_name":"Abramian","first_name":"Anaïs","full_name":"Abramian, Anaïs"},{"last_name":"Barral","first_name":"Jérémie","full_name":"Barral, Jérémie"},{"first_name":"Kasey","last_name":"Hanson","full_name":"Hanson, Kasey"},{"first_name":"Alexander Y.","last_name":"Grosberg","full_name":"Grosberg, Alexander Y."},{"first_name":"David J.","last_name":"Pine","full_name":"Pine, David J."},{"first_name":"Paul M.","last_name":"Chaikin","full_name":"Chaikin, Paul M."}],"publication_status":"published","publisher":"American Association for the Advancement of Science ","year":"2015","pmid":1,"day":"01","has_accepted_license":"1","article_processing_charge":"No","scopus_import":"1","date_published":"2015-05-01T00:00:00Z","article_type":"original","publication":"Science Advances","citation":{"ista":"Palacci JA, Sacanna S, Abramian A, Barral J, Hanson K, Grosberg AY, Pine DJ, Chaikin PM. 2015. Artificial rheotaxis. Science Advances. 1(4), e1400214.","ieee":"J. A. Palacci et al., “Artificial rheotaxis,” Science Advances, vol. 1, no. 4. American Association for the Advancement of Science , 2015.","apa":"Palacci, J. A., Sacanna, S., Abramian, A., Barral, J., Hanson, K., Grosberg, A. Y., … Chaikin, P. M. (2015). Artificial rheotaxis. Science Advances. American Association for the Advancement of Science . https://doi.org/10.1126/sciadv.1400214","ama":"Palacci JA, Sacanna S, Abramian A, et al. Artificial rheotaxis. Science Advances. 2015;1(4). doi:10.1126/sciadv.1400214","chicago":"Palacci, Jérémie A, Stefano Sacanna, Anaïs Abramian, Jérémie Barral, Kasey Hanson, Alexander Y. Grosberg, David J. Pine, and Paul M. Chaikin. “Artificial Rheotaxis.” Science Advances. American Association for the Advancement of Science , 2015. https://doi.org/10.1126/sciadv.1400214.","mla":"Palacci, Jérémie A., et al. “Artificial Rheotaxis.” Science Advances, vol. 1, no. 4, e1400214, American Association for the Advancement of Science , 2015, doi:10.1126/sciadv.1400214.","short":"J.A. Palacci, S. Sacanna, A. Abramian, J. Barral, K. Hanson, A.Y. Grosberg, D.J. Pine, P.M. Chaikin, Science Advances 1 (2015)."},"abstract":[{"text":"Motility is a basic feature of living microorganisms, and how it works is often determined by environmental cues. Recent efforts have focused on developing artificial systems that can mimic microorganisms, in particular their self-propulsion. We report on the design and characterization of synthetic self-propelled particles that migrate upstream, known as positive rheotaxis. This phenomenon results from a purely physical mechanism involving the interplay between the polarity of the particles and their alignment by a viscous torque. We show quantitative agreement between experimental data and a simple model of an overdamped Brownian pendulum. The model notably predicts the existence of a stagnation point in a diverging flow. We take advantage of this property to demonstrate that our active particles can sense and predictably organize in an imposed flow. Our colloidal system represents an important step toward the realization of biomimetic microsystems with the ability to sense and respond to environmental changes.","lang":"eng"}],"issue":"4","type":"journal_article","oa_version":"Published Version","file":[{"file_id":"9058","relation":"main_file","success":1,"checksum":"b97d62433581875c1b85210c5f6ae370","date_created":"2021-02-02T13:22:19Z","date_updated":"2021-02-02T13:22:19Z","access_level":"open_access","file_name":"2015_ScienceAdvances_Palacci.pdf","creator":"cziletti","content_type":"application/pdf","file_size":2416780}],"status":"public","ddc":["530"],"title":"Artificial rheotaxis","intvolume":" 1","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","_id":"9057"},{"publisher":"Public Library of Science","intvolume":" 10","status":"public","publication_status":"published","title":"Recent origin of the methacrylate redox system in Geobacter sulfurreducens AM-1 through horizontal gene transfer","acknowledgement":"Funding: The work has been supported by a grant of the HHMI International Early Career Scientist Program (55007424), the Spanish Ministry of Economy and Competitiveness (EUI-EURYIP-2011-4320) as part of the EMBO YIP program, two grants from the Spanish Ministry of Economy and Competitiveness, \"Centro de Excelencia Severo Ochoa 2013–2017 (Sev-2012-0208)\" and (BFU2012-31329), the European Union and the European Research Council under grant agreement 335980_EinME. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.Our author Dr., Prof. Akimenko Vasilii K. (1942–2013) passed away during work on the article. Prof. Akimenko was a leading biochemist in IBPM RAS and active researcher until last days. A number of his work remains unfinished. We mourn premature care of Prof. Akimenko Vasilii. We thank Heinz Himmelbauer and the CRG Genomic Unit for the sequencing.","_id":"906","year":"2015","volume":10,"date_created":"2018-12-11T11:49:08Z","date_updated":"2021-01-12T08:21:48Z","author":[{"full_name":"Arkhipova, Oksana V","first_name":"Oksana","last_name":"Arkhipova"},{"full_name":"Meer, Margarita V","last_name":"Meer","first_name":"Margarita"},{"last_name":"Mikoulinskaia","first_name":"Galina","full_name":"Mikoulinskaia, Galina V"},{"last_name":"Zakharova","first_name":"Marina","full_name":"Zakharova, Marina V"},{"first_name":"Alexander","last_name":"Galushko","full_name":"Galushko, Alexander S"},{"full_name":"Akimenko, Vasilii K","first_name":"Vasilii","last_name":"Akimenko"},{"id":"44FDEF62-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8243-4694","first_name":"Fyodor","last_name":"Kondrashov","full_name":"Fyodor Kondrashov"}],"type":"journal_article","license":"https://creativecommons.org/licenses/by/4.0/","extern":1,"issue":"5","publist_id":"6742","abstract":[{"text":"The origin and evolution of novel biochemical functions remains one of the key questions in molecular evolution. We study recently emerged methacrylate reductase function that is thought to have emerged in the last century and reported in Geobacter sulfurreducens strain AM-1. We report the sequence and study the evolution of the operon coding for the flavin-containing methacrylate reductase (Mrd) and tetraheme cytochrome (Mcc) in the genome of G. sulfurreducens AM-1. Different types of signal peptides in functionally interlinked proteins Mrd and Mcc suggest a possible complex mechanism of biogenesis for chromoproteids of the methacrylate redox system. The homologs of the Mrd and Mcc sequence found in δ-Proteobacteria and Deferribacteres are also organized into an operon and their phylogenetic distribution suggested that these two genes tend to be horizontally transferred together. Specifically, the mrd and mcc genes from G. sulfurreducens AM-1 are not monophyletic with any of the homologs found in other Geobacter genomes. The acquisition of methacrylate reductase function by G. sulfurreducens AM-1 appears linked to a horizontal gene transfer event. However, the new function of the products of mrd and mcc may have evolved either prior or subsequent to their acquisition by G. sulfurreducens AM-1.","lang":"eng"}],"quality_controlled":0,"citation":{"ama":"Arkhipova O, Meer M, Mikoulinskaia G, et al. Recent origin of the methacrylate redox system in Geobacter sulfurreducens AM-1 through horizontal gene transfer. PLoS One. 2015;10(5). doi:10.1371/journal.pone.0125888","ista":"Arkhipova O, Meer M, Mikoulinskaia G, Zakharova M, Galushko A, Akimenko V, Kondrashov F. 2015. Recent origin of the methacrylate redox system in Geobacter sulfurreducens AM-1 through horizontal gene transfer. PLoS One. 10(5).","ieee":"O. Arkhipova et al., “Recent origin of the methacrylate redox system in Geobacter sulfurreducens AM-1 through horizontal gene transfer,” PLoS One, vol. 10, no. 5. Public Library of Science, 2015.","apa":"Arkhipova, O., Meer, M., Mikoulinskaia, G., Zakharova, M., Galushko, A., Akimenko, V., & Kondrashov, F. (2015). Recent origin of the methacrylate redox system in Geobacter sulfurreducens AM-1 through horizontal gene transfer. PLoS One. Public Library of Science. https://doi.org/10.1371/journal.pone.0125888","mla":"Arkhipova, Oksana, et al. “Recent Origin of the Methacrylate Redox System in Geobacter Sulfurreducens AM-1 through Horizontal Gene Transfer.” PLoS One, vol. 10, no. 5, Public Library of Science, 2015, doi:10.1371/journal.pone.0125888.","short":"O. Arkhipova, M. Meer, G. Mikoulinskaia, M. Zakharova, A. Galushko, V. Akimenko, F. Kondrashov, PLoS One 10 (2015).","chicago":"Arkhipova, Oksana, Margarita Meer, Galina Mikoulinskaia, Marina Zakharova, Alexander Galushko, Vasilii Akimenko, and Fyodor Kondrashov. “Recent Origin of the Methacrylate Redox System in Geobacter Sulfurreducens AM-1 through Horizontal Gene Transfer.” PLoS One. Public Library of Science, 2015. https://doi.org/10.1371/journal.pone.0125888."},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"publication":"PLoS One","doi":"10.1371/journal.pone.0125888","date_published":"2015-05-11T00:00:00Z","month":"05","day":"11"},{"extern":"1","publication_status":"published","publisher":"American Geophysical Union","year":"2015","date_created":"2021-02-15T14:21:49Z","date_updated":"2022-01-24T13:45:41Z","volume":120,"author":[{"full_name":"Lefauve, Adrien","first_name":"Adrien","last_name":"Lefauve"},{"first_name":"Caroline J","last_name":"Muller","id":"f978ccb0-3f7f-11eb-b193-b0e2bd13182b","orcid":"0000-0001-5836-5350","full_name":"Muller, Caroline J"},{"last_name":"Melet","first_name":"Angélique","full_name":"Melet, Angélique"}],"month":"06","publication_identifier":{"issn":["2169-9275"]},"quality_controlled":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1002/2014JC010598"}],"language":[{"iso":"eng"}],"doi":"10.1002/2014jc010598","type":"journal_article","abstract":[{"text":"The breaking of internal tides is believed to provide a large part of the power needed to mix the abyssal ocean and sustain the meridional overturning circulation. Both the fraction of internal tide energy that is dissipated locally and the resulting vertical mixing distribution are crucial for the ocean state, but remain poorly quantified. Here we present a first worldwide estimate of mixing due to internal tides generated at small‐scale abyssal hills. Our estimate is based on linear wave theory, a nonlinear parameterization for wave breaking and uses quasi‐global small‐scale abyssal hill bathymetry, stratification, and tidal data. We show that a large fraction of abyssal‐hill generated internal tide energy is locally dissipated over mid‐ocean ridges in the Southern Hemisphere. Significant dissipation occurs above ridge crests, and, upon rescaling by the local stratification, follows a monotonic exponential decay with height off the bottom, with a nonuniform decay scale. We however show that a substantial part of the dissipation occurs over the smoother flanks of mid‐ocean ridges, and exhibits a middepth maximum due to the interplay of wave amplitude with stratification. We link the three‐dimensional map of dissipation to abyssal hills characteristics, ocean stratification, and tidal forcing, and discuss its potential implementation in time‐evolving parameterizations for global climate models. Current tidal parameterizations only account for waves generated at large‐scale satellite‐resolved bathymetry. Our results suggest that the presence of small‐scale, mostly unresolved abyssal hills could significantly enhance the spatial inhomogeneity of tidal mixing, particularly above mid‐ocean ridges in the Southern Hemisphere.","lang":"eng"}],"issue":"7","status":"public","title":"A three-dimensional map of tidal dissipation over abyssal hills","intvolume":" 120","_id":"9141","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa_version":"Published Version","day":"08","article_processing_charge":"No","article_type":"original","page":"4760-4777","publication":"Journal of Geophysical Research: Oceans","citation":{"chicago":"Lefauve, Adrien, Caroline J Muller, and Angélique Melet. “A Three-Dimensional Map of Tidal Dissipation over Abyssal Hills.” Journal of Geophysical Research: Oceans. American Geophysical Union, 2015. https://doi.org/10.1002/2014jc010598.","mla":"Lefauve, Adrien, et al. “A Three-Dimensional Map of Tidal Dissipation over Abyssal Hills.” Journal of Geophysical Research: Oceans, vol. 120, no. 7, American Geophysical Union, 2015, pp. 4760–77, doi:10.1002/2014jc010598.","short":"A. Lefauve, C.J. Muller, A. Melet, Journal of Geophysical Research: Oceans 120 (2015) 4760–4777.","ista":"Lefauve A, Muller CJ, Melet A. 2015. A three-dimensional map of tidal dissipation over abyssal hills. Journal of Geophysical Research: Oceans. 120(7), 4760–4777.","apa":"Lefauve, A., Muller, C. J., & Melet, A. (2015). A three-dimensional map of tidal dissipation over abyssal hills. Journal of Geophysical Research: Oceans. American Geophysical Union. https://doi.org/10.1002/2014jc010598","ieee":"A. Lefauve, C. J. Muller, and A. Melet, “A three-dimensional map of tidal dissipation over abyssal hills,” Journal of Geophysical Research: Oceans, vol. 120, no. 7. American Geophysical Union, pp. 4760–4777, 2015.","ama":"Lefauve A, Muller CJ, Melet A. A three-dimensional map of tidal dissipation over abyssal hills. Journal of Geophysical Research: Oceans. 2015;120(7):4760-4777. doi:10.1002/2014jc010598"},"date_published":"2015-06-08T00:00:00Z"},{"_id":"928","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["539","570"],"status":"public","title":"Assembly and positioning of actomyosin rings by contractility and planar cell polarity","intvolume":" 4","file":[{"content_type":"application/pdf","file_size":7202224,"creator":"dernst","access_level":"open_access","file_name":"2015_eLife_Sehring.pdf","checksum":"1e4024b3161adcae4a53a0b3dc8a946e","date_created":"2018-12-20T15:50:56Z","date_updated":"2020-07-14T12:48:15Z","relation":"main_file","file_id":"5769"}],"oa_version":"Published Version","type":"journal_article","abstract":[{"lang":"eng","text":"The actomyosin cytoskeleton is a primary force-generating mechanism in morphogenesis, thus a robust spatial control of cytoskeletal positioning is essential. In this report, we demonstrate that actomyosin contractility and planar cell polarity (PCP) interact in post-mitotic Ciona notochord cells to self-assemble and reposition actomyosin rings, which play an essential role for cell elongation. Intriguingly, rings always form at the cells′ anterior edge before migrating towards the center as contractility increases, reflecting a novel dynamical property of the cortex. Our drug and genetic manipulations uncover a tug-of-war between contractility, which localizes cortical flows toward the equator and PCP, which tries to reposition them. We develop a simple model of the physical forces underlying this tug-of-war, which quantitatively reproduces our results. We thus propose a quantitative framework for dissecting the relative contribution of contractility and PCP to the self-assembly and repositioning of cytoskeletal structures, which should be applicable to other morphogenetic events."}],"publication":"eLife","citation":{"ama":"Sehring I, Recho P, Denker E, et al. Assembly and positioning of actomyosin rings by contractility and planar cell polarity. eLife. 2015;4. doi:10.7554/eLife.09206","ista":"Sehring I, Recho P, Denker E, Kourakis M, Mathiesen B, Hannezo EB, Dong B, Jiang D. 2015. Assembly and positioning of actomyosin rings by contractility and planar cell polarity. eLife. 4, e09206.","ieee":"I. Sehring et al., “Assembly and positioning of actomyosin rings by contractility and planar cell polarity,” eLife, vol. 4. eLife Sciences Publications, 2015.","apa":"Sehring, I., Recho, P., Denker, E., Kourakis, M., Mathiesen, B., Hannezo, E. B., … Jiang, D. (2015). Assembly and positioning of actomyosin rings by contractility and planar cell polarity. ELife. eLife Sciences Publications. https://doi.org/10.7554/eLife.09206","mla":"Sehring, Ivonne, et al. “Assembly and Positioning of Actomyosin Rings by Contractility and Planar Cell Polarity.” ELife, vol. 4, e09206, eLife Sciences Publications, 2015, doi:10.7554/eLife.09206.","short":"I. Sehring, P. Recho, E. Denker, M. Kourakis, B. Mathiesen, E.B. Hannezo, B. Dong, D. Jiang, ELife 4 (2015).","chicago":"Sehring, Ivonne, Pierre Recho, Elsa Denker, Matthew Kourakis, Birthe Mathiesen, Edouard B Hannezo, Bo Dong, and Di Jiang. “Assembly and Positioning of Actomyosin Rings by Contractility and Planar Cell Polarity.” ELife. eLife Sciences Publications, 2015. https://doi.org/10.7554/eLife.09206."},"date_published":"2015-10-21T00:00:00Z","day":"21","has_accepted_license":"1","year":"2015","publication_status":"published","publisher":"eLife Sciences Publications","author":[{"last_name":"Sehring","first_name":"Ivonne","full_name":"Sehring, Ivonne"},{"full_name":"Recho, Pierre","last_name":"Recho","first_name":"Pierre"},{"last_name":"Denker","first_name":"Elsa","full_name":"Denker, Elsa"},{"full_name":"Kourakis, Matthew","last_name":"Kourakis","first_name":"Matthew"},{"first_name":"Birthe","last_name":"Mathiesen","full_name":"Mathiesen, Birthe"},{"first_name":"Edouard B","last_name":"Hannezo","id":"3A9DB764-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6005-1561","full_name":"Hannezo, Edouard B"},{"first_name":"Bo","last_name":"Dong","full_name":"Dong, Bo"},{"full_name":"Jiang, Di","last_name":"Jiang","first_name":"Di"}],"date_updated":"2021-01-12T08:21:58Z","date_created":"2018-12-11T11:49:15Z","volume":4,"article_number":"e09206","file_date_updated":"2020-07-14T12:48:15Z","publist_id":"6512","extern":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"quality_controlled":"1","doi":"10.7554/eLife.09206","language":[{"iso":"eng"}],"month":"10"},{"author":[{"first_name":"Michael","last_name":"Krivelevich","full_name":"Krivelevich, Michael"},{"full_name":"Kwan, Matthew Alan","orcid":"0000-0002-4003-7567","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3","last_name":"Kwan","first_name":"Matthew Alan"},{"last_name":"Sudakov","first_name":"Benny","full_name":"Sudakov, Benny"}],"volume":49,"date_updated":"2023-02-23T14:01:28Z","date_created":"2021-06-21T06:40:34Z","year":"2015","publisher":"Elsevier","publication_status":"published","extern":"1","doi":"10.1016/j.endm.2015.06.027","language":[{"iso":"eng"}],"external_id":{"arxiv":["1501.04816"]},"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1501.04816","open_access":"1"}],"quality_controlled":"1","publication_identifier":{"issn":["1571-0653"]},"month":"11","oa_version":"Preprint","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","_id":"9575","intvolume":" 49","title":"Cycles and matchings in randomly perturbed digraphs and hypergraphs","status":"public","abstract":[{"lang":"eng","text":"We give several results showing that different discrete structures typically gain certain spanning substructures (in particular, Hamilton cycles) after a modest random perturbation. First, we prove that adding linearly many random edges to a dense k-uniform hypergraph ensures the (asymptotically almost sure) existence of a perfect matching or a loose Hamilton cycle. The proof involves an interesting application of Szemerédi's Regularity Lemma, which might be independently useful. We next prove that digraphs with certain strong expansion properties are pancyclic, and use this to show that adding a linear number of random edges typically makes a dense digraph pancyclic. Finally, we prove that perturbing a certain (minimum-degree-dependent) number of random edges in a tournament typically ensures the existence of multiple edge-disjoint Hamilton cycles. All our results are tight."}],"type":"journal_article","date_published":"2015-11-01T00:00:00Z","citation":{"mla":"Krivelevich, Michael, et al. “Cycles and Matchings in Randomly Perturbed Digraphs and Hypergraphs.” Electronic Notes in Discrete Mathematics, vol. 49, Elsevier, 2015, pp. 181–87, doi:10.1016/j.endm.2015.06.027.","short":"M. Krivelevich, M.A. Kwan, B. Sudakov, Electronic Notes in Discrete Mathematics 49 (2015) 181–187.","chicago":"Krivelevich, Michael, Matthew Alan Kwan, and Benny Sudakov. “Cycles and Matchings in Randomly Perturbed Digraphs and Hypergraphs.” Electronic Notes in Discrete Mathematics. Elsevier, 2015. https://doi.org/10.1016/j.endm.2015.06.027.","ama":"Krivelevich M, Kwan MA, Sudakov B. Cycles and matchings in randomly perturbed digraphs and hypergraphs. Electronic Notes in Discrete Mathematics. 2015;49:181-187. doi:10.1016/j.endm.2015.06.027","ista":"Krivelevich M, Kwan MA, Sudakov B. 2015. Cycles and matchings in randomly perturbed digraphs and hypergraphs. Electronic Notes in Discrete Mathematics. 49, 181–187.","apa":"Krivelevich, M., Kwan, M. A., & Sudakov, B. (2015). Cycles and matchings in randomly perturbed digraphs and hypergraphs. Electronic Notes in Discrete Mathematics. Elsevier. https://doi.org/10.1016/j.endm.2015.06.027","ieee":"M. Krivelevich, M. A. Kwan, and B. Sudakov, “Cycles and matchings in randomly perturbed digraphs and hypergraphs,” Electronic Notes in Discrete Mathematics, vol. 49. Elsevier, pp. 181–187, 2015."},"publication":"Electronic Notes in Discrete Mathematics","page":"181-187","article_type":"original","article_processing_charge":"No","day":"01","scopus_import":"1"},{"date_updated":"2023-02-23T14:04:28Z","date_created":"2021-07-15T14:09:32Z","volume":67,"oa_version":"None","author":[{"full_name":"Leung, H.S.","first_name":"H.S.","last_name":"Leung"},{"full_name":"Leung, P.S.S.","last_name":"Leung","first_name":"P.S.S."},{"full_name":"Cheng, Bingqing","orcid":"0000-0002-3584-9632","id":"cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9","last_name":"Cheng","first_name":"Bingqing"},{"full_name":"Ngan, A.H.W.","last_name":"Ngan","first_name":"A.H.W."}],"title":"A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions","status":"public","publication_status":"published","publisher":"Elsevier","intvolume":" 67","year":"2015","_id":"9673","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","extern":"1","abstract":[{"lang":"eng","text":"Current strategies of computational crystal plasticity that focus on individual atoms or dislocations are impractical for real-scale, large-strain problems even with today’s computing power. Dislocation-density based approaches are a way forward but a critical issue to address is a realistic description of the interactions between dislocations. In this paper, a new scheme for computational dynamics of dislocation-density functions is proposed, which takes full consideration of the mutual elastic interactions between dislocations based on the Hirth–Lothe formulation. Other features considered include (i) the continuity nature of the movements of dislocation densities, (ii) forest hardening, (iii) generation according to high spatial gradients in dislocation densities, and (iv) annihilation. Numerical implementation by the finite-volume method, which is well suited for flow problems with high gradients, is discussed. Numerical examples performed for a single-crystal aluminum model show typical strength anisotropy behavior comparable to experimental observations. Furthermore, a detailed case study on small-scale crystal plasticity successfully captures a number of key experimental features, including power-law relation between strength and size, low dislocation storage and jerky deformation."}],"type":"journal_article","language":[{"iso":"eng"}],"date_published":"2015-04-01T00:00:00Z","doi":"10.1016/j.ijplas.2014.09.009","article_type":"original","page":"1-25","publication":"International Journal of Plasticity","citation":{"mla":"Leung, H. S., et al. “A New Dislocation-Density-Function Dynamics Scheme for Computational Crystal Plasticity by Explicit Consideration of Dislocation Elastic Interactions.” International Journal of Plasticity, vol. 67, Elsevier, 2015, pp. 1–25, doi:10.1016/j.ijplas.2014.09.009.","short":"H.S. Leung, P.S.S. Leung, B. Cheng, A.H.W. Ngan, International Journal of Plasticity 67 (2015) 1–25.","chicago":"Leung, H.S., P.S.S. Leung, Bingqing Cheng, and A.H.W. Ngan. “A New Dislocation-Density-Function Dynamics Scheme for Computational Crystal Plasticity by Explicit Consideration of Dislocation Elastic Interactions.” International Journal of Plasticity. Elsevier, 2015. https://doi.org/10.1016/j.ijplas.2014.09.009.","ama":"Leung HS, Leung PSS, Cheng B, Ngan AHW. A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions. International Journal of Plasticity. 2015;67:1-25. doi:10.1016/j.ijplas.2014.09.009","ista":"Leung HS, Leung PSS, Cheng B, Ngan AHW. 2015. A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions. International Journal of Plasticity. 67, 1–25.","apa":"Leung, H. S., Leung, P. S. S., Cheng, B., & Ngan, A. H. W. (2015). A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions. International Journal of Plasticity. Elsevier. https://doi.org/10.1016/j.ijplas.2014.09.009","ieee":"H. S. Leung, P. S. S. Leung, B. Cheng, and A. H. W. Ngan, “A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions,” International Journal of Plasticity, vol. 67. Elsevier, pp. 1–25, 2015."},"month":"04","day":"01","article_processing_charge":"No","publication_identifier":{"issn":["0749-6419"]},"scopus_import":"1"},{"abstract":[{"text":"The properties of the interface between solid and melt are key to solidification and melting, as the interfacial free energy introduces a kinetic barrier to phase transitions. This makes solidification happen below the melting temperature, in out-of-equilibrium conditions at which the interfacial free energy is ill defined. Here we draw a connection between the atomistic description of a diffuse solid-liquid interface and its thermodynamic characterization. This framework resolves the ambiguities in defining the solid-liquid interfacial free energy above and below the melting temperature. In addition, we introduce a simulation protocol that allows solid-liquid interfaces to be reversibly created and destroyed at conditions relevant for experiments. We directly evaluate the value of the interfacial free energy away from the melting point for a simple but realistic atomic potential, and find a more complex temperature dependence than the constant positive slope that has been generally assumed based on phenomenological considerations and that has been used to interpret experiments. This methodology could be easily extended to the study of other phase transitions, from condensation to precipitation. Our analysis can help reconcile the textbook picture of classical nucleation theory with the growing body of atomistic studies and mesoscale models of solidification.","lang":"eng"}],"issue":"18","type":"journal_article","oa_version":"Preprint","_id":"9688","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","status":"public","title":"Solid-liquid interfacial free energy out of equilibrium","intvolume":" 92","day":"01","article_processing_charge":"No","scopus_import":"1","date_published":"2015-11-01T00:00:00Z","publication":"Physical Review B - Condensed Matter and Materials Physics","citation":{"ista":"Cheng B, Tribello GA, Ceriotti M. 2015. Solid-liquid interfacial free energy out of equilibrium. Physical Review B - Condensed Matter and Materials Physics. 92(18), 180102.","ieee":"B. Cheng, G. A. Tribello, and M. Ceriotti, “Solid-liquid interfacial free energy out of equilibrium,” Physical Review B - Condensed Matter and Materials Physics, vol. 92, no. 18. American Physical Society, 2015.","apa":"Cheng, B., Tribello, G. A., & Ceriotti, M. (2015). Solid-liquid interfacial free energy out of equilibrium. Physical Review B - Condensed Matter and Materials Physics. American Physical Society. https://doi.org/10.1103/physrevb.92.180102","ama":"Cheng B, Tribello GA, Ceriotti M. Solid-liquid interfacial free energy out of equilibrium. Physical Review B - Condensed Matter and Materials Physics. 2015;92(18). doi:10.1103/physrevb.92.180102","chicago":"Cheng, Bingqing, Gareth A. Tribello, and Michele Ceriotti. “Solid-Liquid Interfacial Free Energy out of Equilibrium.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2015. https://doi.org/10.1103/physrevb.92.180102.","mla":"Cheng, Bingqing, et al. “Solid-Liquid Interfacial Free Energy out of Equilibrium.” Physical Review B - Condensed Matter and Materials Physics, vol. 92, no. 18, 180102, American Physical Society, 2015, doi:10.1103/physrevb.92.180102.","short":"B. Cheng, G.A. Tribello, M. Ceriotti, Physical Review B - Condensed Matter and Materials Physics 92 (2015)."},"article_type":"original","extern":"1","article_number":"180102","author":[{"full_name":"Cheng, Bingqing","first_name":"Bingqing","last_name":"Cheng","id":"cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9","orcid":"0000-0002-3584-9632"},{"last_name":"Tribello","first_name":"Gareth A.","full_name":"Tribello, Gareth A."},{"first_name":"Michele","last_name":"Ceriotti","full_name":"Ceriotti, Michele"}],"date_created":"2021-07-19T10:07:22Z","date_updated":"2021-08-09T12:38:49Z","volume":92,"year":"2015","publication_status":"published","publisher":"American Physical Society","month":"11","publication_identifier":{"eissn":["1550-235X"],"issn":["1098-0121"]},"doi":"10.1103/physrevb.92.180102","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.08668"}],"oa":1,"external_id":{"arxiv":["1511.08668"]},"quality_controlled":"1"},{"day":"18","month":"11","article_processing_charge":"No","doi":"10.1371/journal.pbio.1002299.s001","date_published":"2015-11-18T00:00:00Z","citation":{"chicago":"Chevereau, Guillaume, Marta Lukacisinova, Tugce Batur, Aysegul Guvenek, Dilay Hazal Ayhan, Erdal Toprak, and Mark Tobias Bollenbach. “Excel File Containing the Raw Data for All Figures.” Public Library of Science, 2015. https://doi.org/10.1371/journal.pbio.1002299.s001.","short":"G. Chevereau, M. Lukacisinova, T. Batur, A. Guvenek, D.H. Ayhan, E. Toprak, M.T. Bollenbach, (2015).","mla":"Chevereau, Guillaume, et al. Excel File Containing the Raw Data for All Figures. Public Library of Science, 2015, doi:10.1371/journal.pbio.1002299.s001.","apa":"Chevereau, G., Lukacisinova, M., Batur, T., Guvenek, A., Ayhan, D. H., Toprak, E., & Bollenbach, M. T. (2015). Excel file containing the raw data for all figures. Public Library of Science. https://doi.org/10.1371/journal.pbio.1002299.s001","ieee":"G. Chevereau et al., “Excel file containing the raw data for all figures.” Public Library of Science, 2015.","ista":"Chevereau G, Lukacisinova M, Batur T, Guvenek A, Ayhan DH, Toprak E, Bollenbach MT. 2015. Excel file containing the raw data for all figures, Public Library of Science, 10.1371/journal.pbio.1002299.s001.","ama":"Chevereau G, Lukacisinova M, Batur T, et al. Excel file containing the raw data for all figures. 2015. doi:10.1371/journal.pbio.1002299.s001"},"type":"research_data_reference","date_updated":"2023-02-23T10:07:02Z","date_created":"2021-07-23T11:53:50Z","oa_version":"Published Version","author":[{"full_name":"Chevereau, Guillaume","id":"424D78A0-F248-11E8-B48F-1D18A9856A87","last_name":"Chevereau","first_name":"Guillaume"},{"orcid":"0000-0002-2519-8004","id":"4342E402-F248-11E8-B48F-1D18A9856A87","last_name":"Lukacisinova","first_name":"Marta","full_name":"Lukacisinova, Marta"},{"last_name":"Batur","first_name":"Tugce","full_name":"Batur, Tugce"},{"full_name":"Guvenek, Aysegul","last_name":"Guvenek","first_name":"Aysegul"},{"first_name":"Dilay Hazal","last_name":"Ayhan","full_name":"Ayhan, Dilay Hazal"},{"full_name":"Toprak, Erdal","last_name":"Toprak","first_name":"Erdal"},{"full_name":"Bollenbach, Mark Tobias","id":"3E6DB97A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-4398-476X","first_name":"Mark Tobias","last_name":"Bollenbach"}],"related_material":{"record":[{"id":"1619","status":"public","relation":"used_in_publication"}]},"status":"public","title":"Excel file containing the raw data for all figures","department":[{"_id":"ToBo"}],"publisher":"Public Library of Science","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","_id":"9711","year":"2015"}]