--- _id: '2781' abstract: - lang: eng text: 'We consider the ensemble of adjacency matrices of Erdős-Rényi random graphs, that is, graphs on N vertices where every edge is chosen independently and with probability p = p(N). We rescale the matrix so that its bulk eigenvalues are of order one. We prove that, as long as pN→∞(with a speed at least logarithmic in N), the density of eigenvalues of the Erdős-Rényi ensemble is given by the Wigner semicircle law for spectral windows of length larger than N-1 (up to logarithmic corrections). As a consequence, all eigenvectors are proved to be completely delocalized in the sense that the ℓ∞-norms of the ℓ2-normalized eigenvectors are at most of order N-1/2 with a very high probability. The estimates in this paper will be used in the companion paper [Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues (2011) Preprint] to prove the universality of eigenvalue distributions both in the bulk and at the spectral edges under the further restriction that pN »N2/3.' author: - first_name: László full_name: László Erdös id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Antti full_name: Knowles, Antti last_name: Knowles - first_name: Horng full_name: Yau, Horng-Tzer last_name: Yau - first_name: Jun full_name: Yin, Jun last_name: Yin citation: ama: 'Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs I: Local semicircle law. Annals of Probability. 2013;41(3 B):2279-2375. doi:10.1214/11-AOP734' apa: 'Erdös, L., Knowles, A., Yau, H., & Yin, J. (2013). Spectral statistics of Erdős-Rényi graphs I: Local semicircle law. Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/11-AOP734' chicago: 'Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics of Erdős-Rényi Graphs I: Local Semicircle Law.” Annals of Probability. Institute of Mathematical Statistics, 2013. https://doi.org/10.1214/11-AOP734.' ieee: 'L. Erdös, A. Knowles, H. Yau, and J. Yin, “Spectral statistics of Erdős-Rényi graphs I: Local semicircle law,” Annals of Probability, vol. 41, no. 3 B. Institute of Mathematical Statistics, pp. 2279–2375, 2013.' ista: 'Erdös L, Knowles A, Yau H, Yin J. 2013. Spectral statistics of Erdős-Rényi graphs I: Local semicircle law. Annals of Probability. 41(3 B), 2279–2375.' mla: 'Erdös, László, et al. “Spectral Statistics of Erdős-Rényi Graphs I: Local Semicircle Law.” Annals of Probability, vol. 41, no. 3 B, Institute of Mathematical Statistics, 2013, pp. 2279–375, doi:10.1214/11-AOP734.' short: L. Erdös, A. Knowles, H. Yau, J. Yin, Annals of Probability 41 (2013) 2279–2375. date_created: 2018-12-11T11:59:34Z date_published: 2013-05-01T00:00:00Z date_updated: 2021-01-12T06:59:41Z day: '01' doi: 10.1214/11-AOP734 extern: 1 intvolume: ' 41' issue: 3 B main_file_link: - open_access: '1' url: http://arxiv.org/abs/1103.1919 month: '05' oa: 1 page: 2279 - 2375 publication: Annals of Probability publication_status: published publisher: Institute of Mathematical Statistics publist_id: '4109' quality_controlled: 0 status: public title: 'Spectral statistics of Erdős-Rényi graphs I: Local semicircle law' type: journal_article volume: 41 year: '2013' ... --- _id: '2780' abstract: - lang: eng text: We consider a general class of random matrices whose entries are centred random variables, independent up to a symmetry constraint. We establish precise high-probability bounds on the averages of arbitrary monomials in the resolvent matrix entries. Our results generalize the previous results of Erdős et al. (Ann Probab, arXiv:1103.1919, 2013; Commun Math Phys, arXiv:1103.3869, 2013; J Combin 1(2):15-85, 2011) which constituted a key step in the proof of the local semicircle law with optimal error bound in mean-field random matrix models. Our bounds apply to random band matrices and improve previous estimates from order 2 to order 4 in the cases relevant to applications. In particular, they lead to a proof of the diffusion approximation for the magnitude of the resolvent of random band matrices. This, in turn, implies new delocalization bounds on the eigenvectors. The applications are presented in a separate paper (Erdős et al., arXiv:1205.5669, 2013). author: - first_name: László full_name: László Erdös id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Antti full_name: Knowles, Antti last_name: Knowles - first_name: Horng full_name: Yau, Horng-Tzer last_name: Yau citation: ama: Erdös L, Knowles A, Yau H. Averaging fluctuations in resolvents of random band matrices. Annales Henri Poincare. 2013;14(8):1837-1926. doi:10.1007/s00023-013-0235-y apa: Erdös, L., Knowles, A., & Yau, H. (2013). Averaging fluctuations in resolvents of random band matrices. Annales Henri Poincare. Birkhäuser. https://doi.org/10.1007/s00023-013-0235-y chicago: Erdös, László, Antti Knowles, and Horng Yau. “Averaging Fluctuations in Resolvents of Random Band Matrices.” Annales Henri Poincare. Birkhäuser, 2013. https://doi.org/10.1007/s00023-013-0235-y. ieee: L. Erdös, A. Knowles, and H. Yau, “Averaging fluctuations in resolvents of random band matrices,” Annales Henri Poincare, vol. 14, no. 8. Birkhäuser, pp. 1837–1926, 2013. ista: Erdös L, Knowles A, Yau H. 2013. Averaging fluctuations in resolvents of random band matrices. Annales Henri Poincare. 14(8), 1837–1926. mla: Erdös, László, et al. “Averaging Fluctuations in Resolvents of Random Band Matrices.” Annales Henri Poincare, vol. 14, no. 8, Birkhäuser, 2013, pp. 1837–926, doi:10.1007/s00023-013-0235-y. short: L. Erdös, A. Knowles, H. Yau, Annales Henri Poincare 14 (2013) 1837–1926. date_created: 2018-12-11T11:59:33Z date_published: 2013-12-01T00:00:00Z date_updated: 2021-01-12T06:59:40Z day: '01' doi: 10.1007/s00023-013-0235-y extern: 1 intvolume: ' 14' issue: '8' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1205.5664 month: '12' oa: 1 page: 1837 - 1926 publication: Annales Henri Poincare publication_status: published publisher: Birkhäuser publist_id: '4110' quality_controlled: 0 status: public title: Averaging fluctuations in resolvents of random band matrices type: journal_article volume: 14 year: '2013' ... --- _id: '2807' abstract: - lang: eng text: 'We consider several basic problems of algebraic topology, with connections to combinatorial and geometric questions, from the point of view of computational complexity. The extension problem asks, given topological spaces X; Y , a subspace A ⊆ X, and a (continuous) map f : A → Y , whether f can be extended to a map X → Y . For computational purposes, we assume that X and Y are represented as finite simplicial complexes, A is a subcomplex of X, and f is given as a simplicial map. In this generality the problem is undecidable, as follows from Novikov''s result from the 1950s on uncomputability of the fundamental group π1(Y ). We thus study the problem under the assumption that, for some k ≥ 2, Y is (k - 1)-connected; informally, this means that Y has \no holes up to dimension k-1" (a basic example of such a Y is the sphere Sk). We prove that, on the one hand, this problem is still undecidable for dimX = 2k. On the other hand, for every fixed k ≥ 2, we obtain an algorithm that solves the extension problem in polynomial time assuming Y (k - 1)-connected and dimX ≤ 2k - 1. For dimX ≤ 2k - 2, the algorithm also provides a classification of all extensions up to homotopy (continuous deformation). This relies on results of our SODA 2012 paper, and the main new ingredient is a machinery of objects with polynomial-time homology, which is a polynomial-time analog of objects with effective homology developed earlier by Sergeraert et al. We also consider the computation of the higher homotopy groups πk(Y ), k ≥ 2, for a 1-connected Y . Their computability was established by Brown in 1957; we show that πk(Y ) can be computed in polynomial time for every fixed k ≥ 2. On the other hand, Anick proved in 1989 that computing πk(Y ) is #P-hard if k is a part of input, where Y is a cell complex with certain rather compact encoding. We strengthen his result to #P-hardness for Y given as a simplicial complex. ' author: - first_name: Martin full_name: Čadek, Martin last_name: Čadek - first_name: Marek full_name: Krcál, Marek id: 33E21118-F248-11E8-B48F-1D18A9856A87 last_name: Krcál - first_name: Jiří full_name: Matoušek, Jiří last_name: Matoušek - first_name: Lukáš full_name: Vokřínek, Lukáš last_name: Vokřínek - first_name: Uli full_name: Wagner, Uli id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 citation: ama: 'Čadek M, Krcál M, Matoušek J, Vokřínek L, Wagner U. Extending continuous maps: Polynomiality and undecidability. In: 45th Annual ACM Symposium on Theory of Computing. ACM; 2013:595-604. doi:10.1145/2488608.2488683' apa: 'Čadek, M., Krcál, M., Matoušek, J., Vokřínek, L., & Wagner, U. (2013). Extending continuous maps: Polynomiality and undecidability. In 45th Annual ACM Symposium on theory of computing (pp. 595–604). Palo Alto, CA, United States: ACM. https://doi.org/10.1145/2488608.2488683' chicago: 'Čadek, Martin, Marek Krcál, Jiří Matoušek, Lukáš Vokřínek, and Uli Wagner. “Extending Continuous Maps: Polynomiality and Undecidability.” In 45th Annual ACM Symposium on Theory of Computing, 595–604. ACM, 2013. https://doi.org/10.1145/2488608.2488683.' ieee: 'M. Čadek, M. Krcál, J. Matoušek, L. Vokřínek, and U. Wagner, “Extending continuous maps: Polynomiality and undecidability,” in 45th Annual ACM Symposium on theory of computing, Palo Alto, CA, United States, 2013, pp. 595–604.' ista: 'Čadek M, Krcál M, Matoušek J, Vokřínek L, Wagner U. 2013. Extending continuous maps: Polynomiality and undecidability. 45th Annual ACM Symposium on theory of computing. STOC: Symposium on the Theory of Computing, 595–604.' mla: 'Čadek, Martin, et al. “Extending Continuous Maps: Polynomiality and Undecidability.” 45th Annual ACM Symposium on Theory of Computing, ACM, 2013, pp. 595–604, doi:10.1145/2488608.2488683.' short: M. Čadek, M. Krcál, J. Matoušek, L. Vokřínek, U. Wagner, in:, 45th Annual ACM Symposium on Theory of Computing, ACM, 2013, pp. 595–604. conference: end_date: 2013-06-04 location: Palo Alto, CA, United States name: 'STOC: Symposium on the Theory of Computing' start_date: 2013-06-01 date_created: 2018-12-11T11:59:42Z date_published: 2013-06-01T00:00:00Z date_updated: 2021-01-12T06:59:51Z day: '01' ddc: - '510' department: - _id: UlWa - _id: HeEd doi: 10.1145/2488608.2488683 file: - access_level: open_access checksum: 06c2ce5c1135fbc1f71ca15eeb242dcf content_type: application/pdf creator: system date_created: 2018-12-12T10:14:29Z date_updated: 2020-07-14T12:45:48Z file_id: '5081' file_name: IST-2016-533-v1+1_Extending_continuous_maps_polynomiality_and_undecidability.pdf file_size: 447945 relation: main_file file_date_updated: 2020-07-14T12:45:48Z has_accepted_license: '1' language: - iso: eng month: '06' oa: 1 oa_version: Submitted Version page: 595 - 604 publication: 45th Annual ACM Symposium on theory of computing publication_status: published publisher: ACM publist_id: '4078' pubrep_id: '533' quality_controlled: '1' scopus_import: 1 status: public title: 'Extending continuous maps: Polynomiality and undecidability' type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2013' ... --- _id: '2808' abstract: - lang: eng text: In order to establish a reference for analysis of the function of auxin and the auxin biosynthesis regulators SHORT INTERNODE/ STYLISH (SHI/STY) during Physcomitrella patens reproductive development, we have described male (antheridial) and female (archegonial) development in detail, including temporal and positional information of organ initiation. This has allowed us to define discrete stages of organ morphogenesis and to show that reproductive organ development in P. patens is highly organized and that organ phyllotaxis differs between vegetative and reproductive development. Using the PpSHI1 and PpSHI2 reporter and knockout lines, the auxin reporters GmGH3pro:GUS and PpPINApro:GFP-GUS, and the auxin-conjugating transgene PpSHI2pro:IAAL, we could show that the PpSHI genes, and by inference also auxin, play important roles for reproductive organ development in moss. The PpSHI genes are required for the apical opening of the reproductive organs, the final differentiation of the egg cell, and the progression of canal cells into a cell death program. The apical cells of the archegonium, the canal cells, and the egg cell are also sites of auxin responsiveness and are affected by reduced levels of active auxin, suggesting that auxin mediates PpSHI function in the reproductive organs. author: - first_name: Katarina full_name: Landberg, Katarina last_name: Landberg - first_name: Eric full_name: Pederson, Eric last_name: Pederson - first_name: Tom full_name: Viaene, Tom last_name: Viaene - first_name: Behruz full_name: Bozorg, Behruz last_name: Bozorg - first_name: Jirí full_name: Friml, Jirí id: 4159519E-F248-11E8-B48F-1D18A9856A87 last_name: Friml orcid: 0000-0002-8302-7596 - first_name: Henrik full_name: Jönsson, Henrik last_name: Jönsson - first_name: Mattias full_name: Thelander, Mattias last_name: Thelander - first_name: Eva full_name: Sundberg, Eva last_name: Sundberg citation: ama: Landberg K, Pederson E, Viaene T, et al. The moss physcomitrella patens reproductive organ development is highly organized, affected by the two SHI/STY genes and by the level of active auxin in the SHI/STY expression domain. Plant Physiology. 2013;162(3):1406-1419. doi:10.1104/pp.113.214023 apa: Landberg, K., Pederson, E., Viaene, T., Bozorg, B., Friml, J., Jönsson, H., … Sundberg, E. (2013). The moss physcomitrella patens reproductive organ development is highly organized, affected by the two SHI/STY genes and by the level of active auxin in the SHI/STY expression domain. Plant Physiology. American Society of Plant Biologists. https://doi.org/10.1104/pp.113.214023 chicago: Landberg, Katarina, Eric Pederson, Tom Viaene, Behruz Bozorg, Jiří Friml, Henrik Jönsson, Mattias Thelander, and Eva Sundberg. “The Moss Physcomitrella Patens Reproductive Organ Development Is Highly Organized, Affected by the Two SHI/STY Genes and by the Level of Active Auxin in the SHI/STY Expression Domain.” Plant Physiology. American Society of Plant Biologists, 2013. https://doi.org/10.1104/pp.113.214023. ieee: K. Landberg et al., “The moss physcomitrella patens reproductive organ development is highly organized, affected by the two SHI/STY genes and by the level of active auxin in the SHI/STY expression domain,” Plant Physiology, vol. 162, no. 3. American Society of Plant Biologists, pp. 1406–1419, 2013. ista: Landberg K, Pederson E, Viaene T, Bozorg B, Friml J, Jönsson H, Thelander M, Sundberg E. 2013. The moss physcomitrella patens reproductive organ development is highly organized, affected by the two SHI/STY genes and by the level of active auxin in the SHI/STY expression domain. Plant Physiology. 162(3), 1406–1419. mla: Landberg, Katarina, et al. “The Moss Physcomitrella Patens Reproductive Organ Development Is Highly Organized, Affected by the Two SHI/STY Genes and by the Level of Active Auxin in the SHI/STY Expression Domain.” Plant Physiology, vol. 162, no. 3, American Society of Plant Biologists, 2013, pp. 1406–19, doi:10.1104/pp.113.214023. short: K. Landberg, E. Pederson, T. Viaene, B. Bozorg, J. Friml, H. Jönsson, M. Thelander, E. Sundberg, Plant Physiology 162 (2013) 1406–1419. date_created: 2018-12-11T11:59:42Z date_published: 2013-07-03T00:00:00Z date_updated: 2021-01-12T06:59:51Z day: '03' department: - _id: JiFr doi: 10.1104/pp.113.214023 external_id: pmid: - '23669745' intvolume: ' 162' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3707547/ month: '07' oa: 1 oa_version: Submitted Version page: 1406 - 1419 pmid: 1 publication: Plant Physiology publication_status: published publisher: American Society of Plant Biologists publist_id: '4079' quality_controlled: '1' scopus_import: 1 status: public title: The moss physcomitrella patens reproductive organ development is highly organized, affected by the two SHI/STY genes and by the level of active auxin in the SHI/STY expression domain type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 162 year: '2013' ... --- _id: '2806' abstract: - lang: eng text: A novel Taylor-Couette system has been constructed for investigations of transitional as well as high Reynolds number turbulent flows in very large aspect ratios. The flexibility of the setup enables studies of a variety of problems regarding hydrodynamic instabilities and turbulence in rotating flows. The inner and outer cylinders and the top and bottom endplates can be rotated independently with rotation rates of up to 30 Hz, thereby covering five orders of magnitude in Reynolds numbers (Re = 101-106). The radius ratio can be easily changed, the highest realized one is η = 0.98 corresponding to an aspect ratio of 260 gap width in the vertical and 300 in the azimuthal direction. For η < 0.98 the aspect ratio can be dynamically changed during measurements and complete transparency in the radial direction over the full length of the cylinders is provided by the usage of a precision glass inner cylinder. The temperatures of both cylinders are controlled independently. Overall this apparatus combines an unmatched variety in geometry, rotation rates, and temperatures, which is provided by a sophisticated high-precision bearing system. Possible applications are accurate studies of the onset of turbulence and spatio-temporal intermittent flow patterns in very large domains, transport processes of turbulence at high Re, the stability of Keplerian flows for different boundary conditions, and studies of baroclinic instabilities. article_number: '065106' author: - first_name: Kerstin full_name: Avila, Kerstin last_name: Avila - first_name: Björn full_name: Hof, Björn id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: Avila K, Hof B. High-precision Taylor-Couette experiment to study subcritical transitions and the role of boundary conditions and size effects. Review of Scientific Instruments. 2013;84(6). doi:10.1063/1.4807704 apa: Avila, K., & Hof, B. (2013). High-precision Taylor-Couette experiment to study subcritical transitions and the role of boundary conditions and size effects. Review of Scientific Instruments. American Institute of Physics. https://doi.org/10.1063/1.4807704 chicago: Avila, Kerstin, and Björn Hof. “High-Precision Taylor-Couette Experiment to Study Subcritical Transitions and the Role of Boundary Conditions and Size Effects.” Review of Scientific Instruments. American Institute of Physics, 2013. https://doi.org/10.1063/1.4807704. ieee: K. Avila and B. Hof, “High-precision Taylor-Couette experiment to study subcritical transitions and the role of boundary conditions and size effects,” Review of Scientific Instruments, vol. 84, no. 6. American Institute of Physics, 2013. ista: Avila K, Hof B. 2013. High-precision Taylor-Couette experiment to study subcritical transitions and the role of boundary conditions and size effects. Review of Scientific Instruments. 84(6), 065106. mla: Avila, Kerstin, and Björn Hof. “High-Precision Taylor-Couette Experiment to Study Subcritical Transitions and the Role of Boundary Conditions and Size Effects.” Review of Scientific Instruments, vol. 84, no. 6, 065106, American Institute of Physics, 2013, doi:10.1063/1.4807704. short: K. Avila, B. Hof, Review of Scientific Instruments 84 (2013). date_created: 2018-12-11T11:59:42Z date_published: 2013-06-06T00:00:00Z date_updated: 2021-01-12T06:59:50Z day: '06' department: - _id: BjHo doi: 10.1063/1.4807704 intvolume: ' 84' issue: '6' language: - iso: eng month: '06' oa_version: None publication: Review of Scientific Instruments publication_status: published publisher: American Institute of Physics publist_id: '4081' quality_controlled: '1' scopus_import: 1 status: public title: High-precision Taylor-Couette experiment to study subcritical transitions and the role of boundary conditions and size effects type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 84 year: '2013' ... --- _id: '2805' abstract: - lang: eng text: Transition in shear flows is characterized by localized turbulent regions embedded in the surrounding laminar flow. These so-called turbulent spots or puffs are observed in a variety of shear flows and in certain Reynolds-number regimes, and they are advected by the flow while keeping their characteristic length. We show here for the case of pipe flow that this seemingly passive advection of turbulent puffs involves continuous entrainment and relaminarization of laminar and turbulent fluid across strongly convoluted interfaces. Surprisingly, interface areas are almost two orders of magnitude larger than the pipe cross-section, while local entrainment velocities are much smaller than the mean speed. Even though these velocities were shown to be small and proportional to the Kolmogorov velocity scale (in agreement with a prediction by Corrsin) in a flow without mean shear before, we find that, in pipe flow, local entrainment velocities are about an order of magnitude smaller than this scale. The Lagrangian method used to study the dynamics of the laminar-turbulent interfaces allows accurate determination of the leading and trailing edge speeds. However, to resolve the highly complex interface dynamics requires much higher numerical resolutions than for ordinary turbulent flows. This method also reveals that the volume flux across the leading edge has the same radial dependence but the opposite sign as that across the trailing edge, and it is this symmetry that is responsible for the puff shape remaining constant. author: - first_name: Markus full_name: Holzner, Markus last_name: Holzner - first_name: Baofang full_name: Song, Baofang last_name: Song - first_name: Marc full_name: Avila, Marc last_name: Avila - first_name: Björn full_name: Björn Hof id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: Holzner M, Song B, Avila M, Hof B. Lagrangian approach to laminar-turbulent interfaces in transitional pipe flow. Journal of Fluid Mechanics. 2013;723:140-162. doi:10.1017/jfm.2013.127 apa: Holzner, M., Song, B., Avila, M., & Hof, B. (2013). Lagrangian approach to laminar-turbulent interfaces in transitional pipe flow. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2013.127 chicago: Holzner, Markus, Baofang Song, Marc Avila, and Björn Hof. “Lagrangian Approach to Laminar-Turbulent Interfaces in Transitional Pipe Flow.” Journal of Fluid Mechanics. Cambridge University Press, 2013. https://doi.org/10.1017/jfm.2013.127. ieee: M. Holzner, B. Song, M. Avila, and B. Hof, “Lagrangian approach to laminar-turbulent interfaces in transitional pipe flow,” Journal of Fluid Mechanics, vol. 723. Cambridge University Press, pp. 140–162, 2013. ista: Holzner M, Song B, Avila M, Hof B. 2013. Lagrangian approach to laminar-turbulent interfaces in transitional pipe flow. Journal of Fluid Mechanics. 723, 140–162. mla: Holzner, Markus, et al. “Lagrangian Approach to Laminar-Turbulent Interfaces in Transitional Pipe Flow.” Journal of Fluid Mechanics, vol. 723, Cambridge University Press, 2013, pp. 140–62, doi:10.1017/jfm.2013.127. short: M. Holzner, B. Song, M. Avila, B. Hof, Journal of Fluid Mechanics 723 (2013) 140–162. date_created: 2018-12-11T11:59:41Z date_published: 2013-05-01T00:00:00Z date_updated: 2021-01-12T06:59:50Z day: '01' doi: 10.1017/jfm.2013.127 extern: 1 intvolume: ' 723' month: '05' page: 140 - 162 publication: Journal of Fluid Mechanics publication_status: published publisher: Cambridge University Press publist_id: '4084' quality_controlled: 0 status: public title: Lagrangian approach to laminar-turbulent interfaces in transitional pipe flow type: journal_article volume: 723 year: '2013' ... --- _id: '2810' abstract: - lang: eng text: The epistatic interactions that underlie evolutionary constraint have mainly been studied for constant external conditions. However, environmental changes may modulate epistasis and hence affect genetic constraints. Here we investigate genetic constraints in the adaptive evolution of a novel regulatory function in variable environments, using the lac repressor, LacI, as a model system. We have systematically reconstructed mutational trajectories from wild type LacI to three different variants that each exhibit an inverse response to the inducing ligand IPTG, and analyzed the higher-order interactions between genetic and environmental changes. We find epistasis to depend strongly on the environment. As a result, mutational steps essential to inversion but inaccessible by positive selection in one environment, become accessible in another. We present a graphical method to analyze the observed complex higher-order interactions between multiple mutations and environmental change, and show how the interactions can be explained by a combination of mutational effects on allostery and thermodynamic stability. This dependency of genetic constraint on the environment should fundamentally affect evolutionary dynamics and affects the interpretation of phylogenetic data. article_number: e1003580 author: - first_name: Marjon full_name: De Vos, Marjon id: 3111FFAC-F248-11E8-B48F-1D18A9856A87 last_name: De Vos - first_name: Frank full_name: Poelwijk, Frank last_name: Poelwijk - first_name: Nico full_name: Battich, Nico last_name: Battich - first_name: Joseph full_name: Ndika, Joseph last_name: Ndika - first_name: Sander full_name: Tans, Sander last_name: Tans citation: ama: de Vos M, Poelwijk F, Battich N, Ndika J, Tans S. Environmental dependence of genetic constraint. PLoS Genetics. 2013;9(6). doi:10.1371/journal.pgen.1003580 apa: de Vos, M., Poelwijk, F., Battich, N., Ndika, J., & Tans, S. (2013). Environmental dependence of genetic constraint. PLoS Genetics. Public Library of Science. https://doi.org/10.1371/journal.pgen.1003580 chicago: Vos, Marjon de, Frank Poelwijk, Nico Battich, Joseph Ndika, and Sander Tans. “Environmental Dependence of Genetic Constraint.” PLoS Genetics. Public Library of Science, 2013. https://doi.org/10.1371/journal.pgen.1003580. ieee: M. de Vos, F. Poelwijk, N. Battich, J. Ndika, and S. Tans, “Environmental dependence of genetic constraint,” PLoS Genetics, vol. 9, no. 6. Public Library of Science, 2013. ista: de Vos M, Poelwijk F, Battich N, Ndika J, Tans S. 2013. Environmental dependence of genetic constraint. PLoS Genetics. 9(6), e1003580. mla: de Vos, Marjon, et al. “Environmental Dependence of Genetic Constraint.” PLoS Genetics, vol. 9, no. 6, e1003580, Public Library of Science, 2013, doi:10.1371/journal.pgen.1003580. short: M. de Vos, F. Poelwijk, N. Battich, J. Ndika, S. Tans, PLoS Genetics 9 (2013). date_created: 2018-12-11T11:59:43Z date_published: 2013-06-27T00:00:00Z date_updated: 2021-01-12T06:59:52Z day: '27' ddc: - '570' department: - _id: ToBo doi: 10.1371/journal.pgen.1003580 file: - access_level: open_access checksum: 7a4736dd80496d29ff6908b6f2329b4e content_type: application/pdf creator: system date_created: 2018-12-12T10:08:51Z date_updated: 2020-07-14T12:45:48Z file_id: '4713' file_name: IST-2016-412-v1+1_journal.pgen.1003580.pdf file_size: 474655 relation: main_file file_date_updated: 2020-07-14T12:45:48Z has_accepted_license: '1' intvolume: ' 9' issue: '6' language: - iso: eng month: '06' oa: 1 oa_version: Published Version publication: PLoS Genetics publication_status: published publisher: Public Library of Science publist_id: '4075' pubrep_id: '412' quality_controlled: '1' scopus_import: 1 status: public title: Environmental dependence of genetic constraint 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: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 9 year: '2013' ... --- _id: '2814' abstract: - lang: eng text: We study the problem of generating a test sequence that achieves maximal coverage for a reactive system under test. We formulate the problem as a repeated game between the tester and the system, where the system state space is partitioned according to some coverage criterion and the objective of the tester is to maximize the set of partitions (or coverage goals) visited during the game. We show the complexity of the maximal coverage problem for non-deterministic systems is PSPACE-complete, but is NP-complete for deterministic systems. For the special case of non-deterministic systems with a re-initializing "reset" action, which represent running a new test input on a re-initialized system, we show that the complexity is coNP-complete. Our proof technique for reset games uses randomized testing strategies that circumvent the exponentially large memory requirement of deterministic testing strategies. We also discuss the memory requirement for deterministic strategies and extensions of our results to other models, such as pushdown systems and timed systems. author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Luca full_name: Alfaro, Luca last_name: Alfaro - first_name: Ritankar full_name: Majumdar, Ritankar last_name: Majumdar citation: ama: Chatterjee K, Alfaro L, Majumdar R. The complexity of coverage. International Journal of Foundations of Computer Science. 2013;24(2):165-185. doi:10.1142/S0129054113400066 apa: Chatterjee, K., Alfaro, L., & Majumdar, R. (2013). The complexity of coverage. International Journal of Foundations of Computer Science. World Scientific Publishing. https://doi.org/10.1142/S0129054113400066 chicago: Chatterjee, Krishnendu, Luca Alfaro, and Ritankar Majumdar. “The Complexity of Coverage.” International Journal of Foundations of Computer Science. World Scientific Publishing, 2013. https://doi.org/10.1142/S0129054113400066. ieee: K. Chatterjee, L. Alfaro, and R. Majumdar, “The complexity of coverage,” International Journal of Foundations of Computer Science, vol. 24, no. 2. World Scientific Publishing, pp. 165–185, 2013. ista: Chatterjee K, Alfaro L, Majumdar R. 2013. The complexity of coverage. International Journal of Foundations of Computer Science. 24(2), 165–185. mla: Chatterjee, Krishnendu, et al. “The Complexity of Coverage.” International Journal of Foundations of Computer Science, vol. 24, no. 2, World Scientific Publishing, 2013, pp. 165–85, doi:10.1142/S0129054113400066. short: K. Chatterjee, L. Alfaro, R. Majumdar, International Journal of Foundations of Computer Science 24 (2013) 165–185. date_created: 2018-12-11T11:59:44Z date_published: 2013-02-01T00:00:00Z date_updated: 2021-01-12T06:59:54Z day: '01' department: - _id: KrCh doi: 10.1142/S0129054113400066 ec_funded: 1 external_id: arxiv: - '0804.4525' intvolume: ' 24' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/0804.4525 month: '02' oa: 1 oa_version: Preprint page: 165 - 185 project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: International Journal of Foundations of Computer Science publication_status: published publisher: World Scientific Publishing publist_id: '4070' quality_controlled: '1' scopus_import: 1 status: public title: The complexity of coverage type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 24 year: '2013' ... --- _id: '2811' abstract: - lang: eng text: 'In pipe, channel, and boundary layer flows turbulence first occurs intermittently in space and time: at moderate Reynolds numbers domains of disordered turbulent motion are separated by quiescent laminar regions. Based on direct numerical simulations of pipe flow we argue here that the spatial intermittency has its origin in a nearest neighbor interaction between turbulent regions. We further show that in this regime turbulent flows are intrinsically intermittent with a well-defined equilibrium turbulent fraction but without ever assuming a steady pattern. This transition scenario is analogous to that found in simple models such as coupled map lattices. The scaling observed implies that laminar intermissions of the turbulent flow will persist to arbitrarily large Reynolds numbers.' article_number: '063012' author: - first_name: Marc full_name: Avila, Marc last_name: Avila - first_name: Björn full_name: Hof, Björn id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: Avila M, Hof B. Nature of laminar-turbulence intermittency in shear flows. Physical Review E. 2013;87(6). doi:10.1103/PhysRevE.87.063012 apa: Avila, M., & Hof, B. (2013). Nature of laminar-turbulence intermittency in shear flows. Physical Review E. American Institute of Physics. https://doi.org/10.1103/PhysRevE.87.063012 chicago: Avila, Marc, and Björn Hof. “Nature of Laminar-Turbulence Intermittency in Shear Flows.” Physical Review E. American Institute of Physics, 2013. https://doi.org/10.1103/PhysRevE.87.063012. ieee: M. Avila and B. Hof, “Nature of laminar-turbulence intermittency in shear flows,” Physical Review E, vol. 87, no. 6. American Institute of Physics, 2013. ista: Avila M, Hof B. 2013. Nature of laminar-turbulence intermittency in shear flows. Physical Review E. 87(6), 063012. mla: Avila, Marc, and Björn Hof. “Nature of Laminar-Turbulence Intermittency in Shear Flows.” Physical Review E, vol. 87, no. 6, 063012, American Institute of Physics, 2013, doi:10.1103/PhysRevE.87.063012. short: M. Avila, B. Hof, Physical Review E 87 (2013). date_created: 2018-12-11T11:59:43Z date_published: 2013-06-18T00:00:00Z date_updated: 2021-01-12T06:59:53Z day: '18' department: - _id: BjHo doi: 10.1103/PhysRevE.87.063012 ec_funded: 1 external_id: arxiv: - '1306.5890' intvolume: ' 87' issue: '6' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1306.5890 month: '06' oa: 1 oa_version: Preprint project: - _id: 25152F3A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '306589' name: Decoding the complexity of turbulence at its origin publication: Physical Review E publication_status: published publisher: American Institute of Physics publist_id: '4074' quality_controlled: '1' scopus_import: 1 status: public title: Nature of laminar-turbulence intermittency in shear flows type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 87 year: '2013' ... --- _id: '2813' abstract: - lang: eng text: Turbulence is ubiquitous in nature, yet even for the case of ordinary Newtonian fluids like water, our understanding of this phenomenon is limited. Many liquids of practical importance are more complicated (e.g., blood, polymer melts, paints), however; they exhibit elastic as well as viscous characteristics, and the relation between stress and strain is nonlinear. We demonstrate here for a model system of such complex fluids that at high shear rates, turbulence is not simply modified as previously believed but is suppressed and replaced by a different type of disordered motion, elasto-inertial turbulence. Elasto-inertial turbulence is found to occur at much lower Reynolds numbers than Newtonian turbulence, and the dynamical properties differ significantly. The friction scaling observed coincides with the so-called "maximum drag reduction" asymptote, which is exhibited by a wide range of viscoelastic fluids. author: - first_name: Devranjan full_name: Samanta, Devranjan last_name: Samanta - first_name: Yves full_name: Dubief, Yves last_name: Dubief - first_name: Markus full_name: Holzner, Markus last_name: Holzner - first_name: Christof full_name: Schäfer, Christof last_name: Schäfer - first_name: Alexander full_name: Morozov, Alexander last_name: Morozov - first_name: Christian full_name: Wagner, Christian last_name: Wagner - first_name: Björn full_name: Hof, Björn id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: Samanta D, Dubief Y, Holzner M, et al. Elasto-inertial turbulence. PNAS. 2013;110(26):10557-10562. doi:10.1073/pnas.1219666110 apa: Samanta, D., Dubief, Y., Holzner, M., Schäfer, C., Morozov, A., Wagner, C., & Hof, B. (2013). Elasto-inertial turbulence. PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.1219666110 chicago: Samanta, Devranjan, Yves Dubief, Markus Holzner, Christof Schäfer, Alexander Morozov, Christian Wagner, and Björn Hof. “Elasto-Inertial Turbulence.” PNAS. National Academy of Sciences, 2013. https://doi.org/10.1073/pnas.1219666110. ieee: D. Samanta et al., “Elasto-inertial turbulence,” PNAS, vol. 110, no. 26. National Academy of Sciences, pp. 10557–10562, 2013. ista: Samanta D, Dubief Y, Holzner M, Schäfer C, Morozov A, Wagner C, Hof B. 2013. Elasto-inertial turbulence. PNAS. 110(26), 10557–10562. mla: Samanta, Devranjan, et al. “Elasto-Inertial Turbulence.” PNAS, vol. 110, no. 26, National Academy of Sciences, 2013, pp. 10557–62, doi:10.1073/pnas.1219666110. short: D. Samanta, Y. Dubief, M. Holzner, C. Schäfer, A. Morozov, C. Wagner, B. Hof, PNAS 110 (2013) 10557–10562. date_created: 2018-12-11T11:59:44Z date_published: 2013-06-25T00:00:00Z date_updated: 2021-01-12T06:59:54Z day: '25' department: - _id: BjHo doi: 10.1073/pnas.1219666110 external_id: pmid: - '23757498' intvolume: ' 110' issue: '26' language: - iso: eng main_file_link: - open_access: '1' url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3696777/ month: '06' oa: 1 oa_version: Submitted Version page: 10557 - 10562 pmid: 1 publication: PNAS publication_status: published publisher: National Academy of Sciences publist_id: '4073' quality_controlled: '1' scopus_import: 1 status: public title: Elasto-inertial turbulence type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 110 year: '2013' ...