Magee, Michael; Thomas, Joe; Zhao, Yufei Quantum unique ergodicity for Cayley graphs of quasirandom groups. (English) Zbl 07732084 Commun. Math. Phys. 402, No. 3, 3021-3044 (2023). Reviewer: I. M. Erusalimskiy (Rostow-na-Donu) MSC: 81Q50 81R12 81Q35 81P15 37A30 58J51 35J05 20B10 PDFBibTeX XMLCite \textit{M. Magee} et al., Commun. Math. Phys. 402, No. 3, 3021--3044 (2023; Zbl 07732084) Full Text: DOI arXiv
Agazzi, Andrea; Mattingly, Jonathan C.; Melikechi, Omar Random splitting of fluid models: unique ergodicity and convergence. (English) Zbl 1522.35355 Commun. Math. Phys. 401, No. 1, 497-549 (2023). MSC: 35Q30 35Q31 76D05 34H10 37A05 37A60 PDFBibTeX XMLCite \textit{A. Agazzi} et al., Commun. Math. Phys. 401, No. 1, 497--549 (2023; Zbl 1522.35355) Full Text: DOI arXiv
Lefeuvre, Thibault Isometric extensions of Anosov flows via microlocal analysis. (English) Zbl 1518.37044 Commun. Math. Phys. 399, No. 1, 453-479 (2023). Reviewer: Rafael Potrie Altieri (Montevideo) MSC: 37D25 37D20 37C40 37A25 PDFBibTeX XMLCite \textit{T. Lefeuvre}, Commun. Math. Phys. 399, No. 1, 453--479 (2023; Zbl 1518.37044) Full Text: DOI arXiv
Benigni, L.; Lopatto, P. Fluctuations in local quantum unique ergodicity for generalized Wigner matrices. (English) Zbl 1501.58016 Commun. Math. Phys. 391, No. 2, 401-454 (2022). Reviewer: Albert Luo (Edwardsville) MSC: 58J51 15B52 60B20 37A25 82B44 81P17 PDFBibTeX XMLCite \textit{L. Benigni} and \textit{P. Lopatto}, Commun. Math. Phys. 391, No. 2, 401--454 (2022; Zbl 1501.58016) Full Text: DOI arXiv
Fernando, Kasun; Pène, Françoise Expansions in the local and the central limit theorems for dynamical systems. (English) Zbl 1492.37007 Commun. Math. Phys. 389, No. 1, 273-347 (2022). Reviewer: Piotr Garbaczewski (Opole) MSC: 37A30 37A50 37A60 37A05 37A25 37D25 PDFBibTeX XMLCite \textit{K. Fernando} and \textit{F. Pène}, Commun. Math. Phys. 389, No. 1, 273--347 (2022; Zbl 1492.37007) Full Text: DOI arXiv
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik Eigenstate thermalization hypothesis for Wigner matrices. (English) Zbl 1491.60011 Commun. Math. Phys. 388, No. 2, 1005-1048 (2021). Reviewer: Marius Lemm (Cambridge) MSC: 60B20 15B52 81Q99 58J51 PDFBibTeX XMLCite \textit{G. Cipolloni} et al., Commun. Math. Phys. 388, No. 2, 1005--1048 (2021; Zbl 1491.60011) Full Text: DOI arXiv
Morris, Ian D. Totally ergodic generalised matrix equilibrium states have the Bernoulli property. (English) Zbl 1485.37030 Commun. Math. Phys. 387, No. 2, 995-1050 (2021). Reviewer: Yuang-Ling Ye (Guangzhou) MSC: 37D35 37D20 37A25 37C45 28A80 PDFBibTeX XMLCite \textit{I. D. Morris}, Commun. Math. Phys. 387, No. 2, 995--1050 (2021; Zbl 1485.37030) Full Text: DOI arXiv
Pan, Jiakun; Young, Matthew P. Quantum unique ergodicity for Eisenstein series in the level aspect. (English) Zbl 1469.11148 Commun. Math. Phys. 385, No. 1, 227-266 (2021). MSC: 11F72 11F66 11F11 11F70 58J51 PDFBibTeX XMLCite \textit{J. Pan} and \textit{M. P. Young}, Commun. Math. Phys. 385, No. 1, 227--266 (2021; Zbl 1469.11148) Full Text: DOI arXiv
Popa, Sorin On ergodic embeddings of factors. (English) Zbl 1477.46070 Commun. Math. Phys. 384, No. 2, 971-996 (2021). MSC: 46L36 PDFBibTeX XMLCite \textit{S. Popa}, Commun. Math. Phys. 384, No. 2, 971--996 (2021; Zbl 1477.46070) Full Text: DOI arXiv
Tolomeo, Leonardo Unique ergodicity for a class of stochastic hyperbolic equations with additive space-time white noise. (English) Zbl 1442.35460 Commun. Math. Phys. 377, No. 2, 1311-1347 (2020). MSC: 35Q84 35B44 35L70 60H40 35R06 35R60 37A50 35A01 35A02 PDFBibTeX XMLCite \textit{L. Tolomeo}, Commun. Math. Phys. 377, No. 2, 1311--1347 (2020; Zbl 1442.35460) Full Text: DOI arXiv
Demers, Mark F.; Pène, Françoise; Zhang, Hong-Kun Local limit theorem for randomly deforming billiards. (English) Zbl 1473.37033 Commun. Math. Phys. 375, No. 3, 2281-2334 (2020). MSC: 37C83 37H10 37A40 37A05 37A25 37A50 PDFBibTeX XMLCite \textit{M. F. Demers} et al., Commun. Math. Phys. 375, No. 3, 2281--2334 (2020; Zbl 1473.37033) Full Text: DOI arXiv
Zhang, Liyang Quantum unique ergodicity of degenerate Eisenstein series on \(\mathrm{GL}(n)\). (English) Zbl 1470.11102 Commun. Math. Phys. 369, No. 1, 1-48 (2019). MSC: 11F37 58J51 11M36 PDFBibTeX XMLCite \textit{L. Zhang}, Commun. Math. Phys. 369, No. 1, 1--48 (2019; Zbl 1470.11102) Full Text: DOI arXiv
Frączek, Krzysztof; Schmoll, Martin On ergodicity of foliations on \({\mathbb{Z}^d}\)-covers of half-translation surfaces and some applications to periodic systems of Eaton lenses. (English) Zbl 1496.37032 Commun. Math. Phys. 362, No. 2, 609-657 (2018). MSC: 37D40 37A25 30F30 37D25 PDFBibTeX XMLCite \textit{K. Frączek} and \textit{M. Schmoll}, Commun. Math. Phys. 362, No. 2, 609--657 (2018; Zbl 1496.37032) Full Text: DOI arXiv
Hezari, Hamid Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions. (English) Zbl 1387.58033 Commun. Math. Phys. 357, No. 3, 1157-1177 (2018). MSC: 58J51 37A30 PDFBibTeX XMLCite \textit{H. Hezari}, Commun. Math. Phys. 357, No. 3, 1157--1177 (2018; Zbl 1387.58033) Full Text: DOI arXiv
Schmieding, Scott; Treviño, Rodrigo Self affine Delone sets and deviation phenomena. (English) Zbl 1454.37009 Commun. Math. Phys. 357, No. 3, 1071-1112 (2018). MSC: 37A25 37B52 52C23 PDFBibTeX XMLCite \textit{S. Schmieding} and \textit{R. Treviño}, Commun. Math. Phys. 357, No. 3, 1071--1112 (2018; Zbl 1454.37009) Full Text: DOI arXiv
Sardari, Naser T. Quadratic forms and semiclassical eigenfunction hypothesis for flat tori. (English) Zbl 1394.58015 Commun. Math. Phys. 358, No. 3, 895-917 (2018). MSC: 58J50 58J51 11E25 PDFBibTeX XMLCite \textit{N. T. Sardari}, Commun. Math. Phys. 358, No. 3, 895--917 (2018; Zbl 1394.58015) Full Text: DOI arXiv
Li, Zhiqiang Equilibrium states for expanding Thurston maps. (English) Zbl 1391.37030 Commun. Math. Phys. 357, No. 2, 811-872 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D35 37D20 37A25 PDFBibTeX XMLCite \textit{Z. Li}, Commun. Math. Phys. 357, No. 2, 811--872 (2018; Zbl 1391.37030) Full Text: DOI arXiv
Granville, Andrew; Wigman, Igor Planck-scale mass equidistribution of toral Laplace eigenfunctions. (English) Zbl 1376.58012 Commun. Math. Phys. 355, No. 2, 767-802 (2017). MSC: 58J51 11P21 PDFBibTeX XMLCite \textit{A. Granville} and \textit{I. Wigman}, Commun. Math. Phys. 355, No. 2, 767--802 (2017; Zbl 1376.58012) Full Text: DOI arXiv Link
Blumenthal, Alex; Young, Lai-Sang Absolute continuity of stable foliations for mappings of Banach spaces. (English) Zbl 1384.37106 Commun. Math. Phys. 354, No. 2, 591-619 (2017). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 37L40 37C40 37D25 PDFBibTeX XMLCite \textit{A. Blumenthal} and \textit{L.-S. Young}, Commun. Math. Phys. 354, No. 2, 591--619 (2017; Zbl 1384.37106) Full Text: DOI arXiv
Anantharaman, Nalini Quantum ergodicity on regular graphs. (English) Zbl 1368.58015 Commun. Math. Phys. 353, No. 2, 633-690 (2017). MSC: 58J51 60B20 81Q50 60G50 PDFBibTeX XMLCite \textit{N. Anantharaman}, Commun. Math. Phys. 353, No. 2, 633--690 (2017; Zbl 1368.58015) Full Text: DOI arXiv
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan Ergodicity for the stochastic quantization problems on the 2D-torus. (English) Zbl 1376.81045 Commun. Math. Phys. 352, No. 3, 1061-1090 (2017). Reviewer: Nicola Cufaro Petroni (Bari) MSC: 81S20 81P20 37A30 47D07 60J35 81T70 81T08 PDFBibTeX XMLCite \textit{M. Röckner} et al., Commun. Math. Phys. 352, No. 3, 1061--1090 (2017; Zbl 1376.81045) Full Text: DOI arXiv
Demers, Mark F.; Todd, Mike Slow and fast escape for open intermittent maps. (English) Zbl 1380.37007 Commun. Math. Phys. 351, No. 2, 775-835 (2017). Reviewer: Thomas B. Ward (Leeds) MSC: 37A25 37C40 37C30 PDFBibTeX XMLCite \textit{M. F. Demers} and \textit{M. Todd}, Commun. Math. Phys. 351, No. 2, 775--835 (2017; Zbl 1380.37007) Full Text: DOI arXiv Link
Del Magno, Gianluigi; Markarian, Roberto On the Bernoulli property of planar hyperbolic billiards. (English) Zbl 1381.37046 Commun. Math. Phys. 350, No. 3, 917-955 (2017). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 37D50 70F35 37A25 PDFBibTeX XMLCite \textit{G. Del Magno} and \textit{R. Markarian}, Commun. Math. Phys. 350, No. 3, 917--955 (2017; Zbl 1381.37046) Full Text: DOI
Lester, Stephen; Rudnick, Zeév Small scale equidistribution of eigenfunctions on the torus. (English) Zbl 1360.58025 Commun. Math. Phys. 350, No. 1, 279-300 (2017). Reviewer: Feng-Yu Wang (Swansea) MSC: 58J51 PDFBibTeX XMLCite \textit{S. Lester} and \textit{Z. Rudnick}, Commun. Math. Phys. 350, No. 1, 279--300 (2017; Zbl 1360.58025) Full Text: DOI arXiv
Bourgade, P.; Yau, H.-T. The eigenvector moment flow and local quantum unique ergodicity. (English) Zbl 1379.58014 Commun. Math. Phys. 350, No. 1, 231-278 (2017). MSC: 58J51 15B52 15A18 60G50 PDFBibTeX XMLCite \textit{P. Bourgade} and \textit{H. T. Yau}, Commun. Math. Phys. 350, No. 1, 231--278 (2017; Zbl 1379.58014) Full Text: DOI arXiv
Han, Xiaolong Small scale equidistribution of random eigenbases. (English) Zbl 1357.35241 Commun. Math. Phys. 349, No. 1, 425-440 (2017). MSC: 35P20 58J51 35R01 PDFBibTeX XMLCite \textit{X. Han}, Commun. Math. Phys. 349, No. 1, 425--440 (2017; Zbl 1357.35241) Full Text: DOI arXiv
Kurlberg, Pär; Rosenzweig, Lior Superscars for arithmetic toral point scatterers. (English) Zbl 1358.81110 Commun. Math. Phys. 349, No. 1, 329-360 (2017). MSC: 81Q50 37A25 35J10 46F10 81Q10 35P05 PDFBibTeX XMLCite \textit{P. Kurlberg} and \textit{L. Rosenzweig}, Commun. Math. Phys. 349, No. 1, 329--360 (2017; Zbl 1358.81110) Full Text: DOI arXiv
Jung, Junehyuk Quantitative quantum ergodicity and the nodal domains of Hecke-Maass cusp forms. (English) Zbl 1388.58021 Commun. Math. Phys. 348, No. 2, 603-653 (2016). Reviewer: Neven Grbac (Rijeka) MSC: 58J51 11F72 37A45 PDFBibTeX XMLCite \textit{J. Jung}, Commun. Math. Phys. 348, No. 2, 603--653 (2016; Zbl 1388.58021) Full Text: DOI arXiv
Baladi, Viviane; Todd, Mike Linear response for intermittent maps. (English) Zbl 1381.37005 Commun. Math. Phys. 347, No. 3, 857-874 (2016). Reviewer: Steve Pederson (Atlanta) MSC: 37A10 37C30 37D35 37A25 37E05 PDFBibTeX XMLCite \textit{V. Baladi} and \textit{M. Todd}, Commun. Math. Phys. 347, No. 3, 857--874 (2016; Zbl 1381.37005) Full Text: DOI arXiv Link
Macià, Fabricio; Rivière, Gabriel Concentration and non-concentration for the Schrödinger evolution on Zoll manifolds. (English) Zbl 1348.58017 Commun. Math. Phys. 345, No. 3, 1019-1054 (2016). Reviewer: Andrew Bucki (Edmond) MSC: 58J47 35Q41 58J51 37N20 81Q20 37J35 31C12 PDFBibTeX XMLCite \textit{F. Macià} and \textit{G. Rivière}, Commun. Math. Phys. 345, No. 3, 1019--1054 (2016; Zbl 1348.58017) Full Text: DOI arXiv
Bochi, Jairo; Bonatti, Christian; Díaz, Lorenzo J. Robust criterion for the existence of nonhyperbolic ergodic measures. (English) Zbl 1368.37036 Commun. Math. Phys. 344, No. 3, 751-795 (2016). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 37D25 37D30 28D20 37A25 PDFBibTeX XMLCite \textit{J. Bochi} et al., Commun. Math. Phys. 344, No. 3, 751--795 (2016; Zbl 1368.37036) Full Text: DOI arXiv
Bonthonneau, Yannick Long time quantum evolution of observables on cusp manifolds. (English) Zbl 1354.58031 Commun. Math. Phys. 343, No. 1, 311-359 (2016). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J51 58J40 PDFBibTeX XMLCite \textit{Y. Bonthonneau}, Commun. Math. Phys. 343, No. 1, 311--359 (2016; Zbl 1354.58031) Full Text: DOI arXiv
Araújo, Vítor; Varandas, Paulo Erratum to: “Robust exponential decay of correlations for singular-flows”. (English) Zbl 1417.37048 Commun. Math. Phys. 341, No. 2, 729-731 (2016). MSC: 37A25 37C10 37D45 37C70 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{P. Varandas}, Commun. Math. Phys. 341, No. 2, 729--731 (2016; Zbl 1417.37048) Full Text: DOI
Bunimovich, Leonid; Zhang, Hong-Kun; Zhang, Pengfei On another edge of defocusing: hyperbolicity of asymmetric lemon billiards. (English) Zbl 1418.37067 Commun. Math. Phys. 341, No. 3, 781-803 (2016). MSC: 37D50 37D25 37A25 PDFBibTeX XMLCite \textit{L. Bunimovich} et al., Commun. Math. Phys. 341, No. 3, 781--803 (2016; Zbl 1418.37067) Full Text: DOI arXiv
Araújo, V.; Melbourne, I.; Varandas, P. Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps. (English) Zbl 1356.37002 Commun. Math. Phys. 340, No. 3, 901-938 (2015). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A25 37A50 37C10 37C40 37D50 37D45 60F05 PDFBibTeX XMLCite \textit{V. Araújo} et al., Commun. Math. Phys. 340, No. 3, 901--938 (2015; Zbl 1356.37002) Full Text: DOI arXiv
Robert, Didier; Thomann, Laurent Random weighted Sobolev inequalities and application to quantum ergodicity. (English) Zbl 1341.60074 Commun. Math. Phys. 335, No. 3, 1181-1209 (2015). MSC: 60H30 46E35 46E39 33C45 81Q05 PDFBibTeX XMLCite \textit{D. Robert} and \textit{L. Thomann}, Commun. Math. Phys. 335, No. 3, 1181--1209 (2015; Zbl 1341.60074) Full Text: DOI arXiv
Chaika, Jon; Fickenscher, Jon Topological mixing for some residual sets of interval exchange transformations. (English) Zbl 1353.37080 Commun. Math. Phys. 333, No. 1, 483-503 (2015). Reviewer: Thomas B. Ward (Leeds) MSC: 37E05 37A25 37B10 37D50 PDFBibTeX XMLCite \textit{J. Chaika} and \textit{J. Fickenscher}, Commun. Math. Phys. 333, No. 1, 483--503 (2015; Zbl 1353.37080) Full Text: DOI arXiv
Stenlund, Mikko; Young, Lai-Sang; Zhang, Hongkun Dispersing billiards with moving scatterers. (English) Zbl 1304.37024 Commun. Math. Phys. 322, No. 3, 909-955 (2013). Reviewer: Mario Jorge Dias Carneiro (Belo Horizonte) MSC: 37D50 37A25 PDFBibTeX XMLCite \textit{M. Stenlund} et al., Commun. Math. Phys. 322, No. 3, 909--955 (2013; Zbl 1304.37024) Full Text: DOI arXiv
Luzzatto, Stefano; Melbourne, Ian Statistical properties and decay of correlations for interval maps with critical points and singularities. (English) Zbl 1277.37012 Commun. Math. Phys. 320, No. 1, 21-35 (2013). Reviewer: Steve Pederson (Atlanta) MSC: 37A25 37E05 PDFBibTeX XMLCite \textit{S. Luzzatto} and \textit{I. Melbourne}, Commun. Math. Phys. 320, No. 1, 21--35 (2013; Zbl 1277.37012) Full Text: DOI arXiv
Konstantin, Khanin; Tatiana, Yarmola Ergodic properties of random billiards driven by thermostats. (English) Zbl 1321.37035 Commun. Math. Phys. 320, No. 1, 121-147 (2013). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 37D50 37A25 82B21 37A30 PDFBibTeX XMLCite \textit{K. Konstantin} and \textit{Y. Tatiana}, Commun. Math. Phys. 320, No. 1, 121--147 (2013; Zbl 1321.37035) Full Text: DOI arXiv
Rudnick, Zeév; Ueberschär, Henrik Statistics of wave functions for a point scatterer on the torus. (English) Zbl 1268.58024 Commun. Math. Phys. 316, No. 3, 763-782 (2012). Reviewer: Nenad Manojlović (Faro) MSC: 58J50 58J51 81Q35 37A30 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{H. Ueberschär}, Commun. Math. Phys. 316, No. 3, 763--782 (2012; Zbl 1268.58024) Full Text: DOI arXiv
Baladi, Viviane; Liverani, Carlangelo Exponential decay of correlations for piecewise cone hyperbolic contact flows. (English) Zbl 1386.37030 Commun. Math. Phys. 314, No. 3, 689-773 (2012). MSC: 37D25 37D50 37C30 37D20 37A25 37C40 PDFBibTeX XMLCite \textit{V. Baladi} and \textit{C. Liverani}, Commun. Math. Phys. 314, No. 3, 689--773 (2012; Zbl 1386.37030) Full Text: DOI arXiv
Araújo, Vítor; Varandas, Paulo Robust exponential decay of correlations for singular-flows. (English) Zbl 1314.37010 Commun. Math. Phys. 311, No. 1, 215-246 (2012); erratum ibid. 341, No. 2, 729-731 (2016). Reviewer: Jorge Miguel Milhazes de Freitas (Porto) MSC: 37A25 37C10 37D45 37C70 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{P. Varandas}, Commun. Math. Phys. 311, No. 1, 215--246 (2012; Zbl 1314.37010) Full Text: DOI arXiv
Yarmola, Tatiana Ergodicity of some open systems with particle-disk interactions. (English) Zbl 1234.37008 Commun. Math. Phys. 304, No. 3, 665-688 (2011). Reviewer: Cryssoula Ganatsiou (Larissa) MSC: 37A30 82C70 PDFBibTeX XMLCite \textit{T. Yarmola}, Commun. Math. Phys. 304, No. 3, 665--688 (2011; Zbl 1234.37008) Full Text: DOI arXiv
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej From open quantum systems to open quantum maps. (English) Zbl 1223.81127 Commun. Math. Phys. 304, No. 1, 1-48 (2011). Reviewer: Franco Fagnola (Milano) MSC: 81S22 81Q20 28A80 58J51 81Q50 PDFBibTeX XMLCite \textit{S. Nonnenmacher} et al., Commun. Math. Phys. 304, No. 1, 1--48 (2011; Zbl 1223.81127) Full Text: DOI arXiv
Gutkin, Boris Entropic bounds on semiclassical measures for quantized one-dimensional maps. (English) Zbl 1223.58028 Commun. Math. Phys. 294, No. 2, 303-342 (2010). Reviewer: Fredrik Strömberg (Darmstadt) MSC: 58J51 37A30 37D20 37E05 37N20 81Q50 PDFBibTeX XMLCite \textit{B. Gutkin}, Commun. Math. Phys. 294, No. 2, 303--342 (2010; Zbl 1223.58028) Full Text: DOI arXiv
Shu, Lin The metric entropy of endomorphisms. (English) Zbl 1196.37017 Commun. Math. Phys. 291, No. 2, 491-512 (2009). Reviewer: Ubiratan D’Ambrosio (São Paulo) MSC: 37A35 37A25 PDFBibTeX XMLCite \textit{L. Shu}, Commun. Math. Phys. 291, No. 2, 491--512 (2009; Zbl 1196.37017) Full Text: DOI
Olofsson, Rikard Large supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps. (English) Zbl 1170.81029 Commun. Math. Phys. 286, No. 3, 1051-1072 (2009). MSC: 81Q50 58J51 11F60 37D20 81Q20 PDFBibTeX XMLCite \textit{R. Olofsson}, Commun. Math. Phys. 286, No. 3, 1051--1072 (2009; Zbl 1170.81029) Full Text: DOI arXiv
Chang, Cheng-Hung; Krüger, Tyll; Schubert, Roman; Troubetzkoy, Serge Quantisations of piecewise parabolic maps on the torus and their quantum limits. (English) Zbl 1159.81026 Commun. Math. Phys. 282, No. 2, 395-418 (2008). Reviewer: Hideo Yamagata (Osaka) MSC: 81Q50 81Q20 37N20 81S99 81S30 37A25 PDFBibTeX XMLCite \textit{C.-H. Chang} et al., Commun. Math. Phys. 282, No. 2, 395--418 (2008; Zbl 1159.81026) Full Text: DOI arXiv
Bonanno, Claudio; Collet, Pierre Complexity for extended dynamical systems. (English) Zbl 1143.37003 Commun. Math. Phys. 275, No. 3, 721-748 (2007). Reviewer: Dan E. Popovici (Timişoara) MSC: 37A35 37A60 37M25 68Q30 PDFBibTeX XMLCite \textit{C. Bonanno} and \textit{P. Collet}, Commun. Math. Phys. 275, No. 3, 721--748 (2007; Zbl 1143.37003) Full Text: DOI arXiv
Berkolaiko, G.; Keating, Jonathan P.; Smilansky, U. Quantum ergodicity for graphs related to interval maps. (English) Zbl 1122.81037 Commun. Math. Phys. 273, No. 1, 137-159 (2007). MSC: 81Q50 37A25 37E05 37N20 37E25 PDFBibTeX XMLCite \textit{G. Berkolaiko} et al., Commun. Math. Phys. 273, No. 1, 137--159 (2007; Zbl 1122.81037) Full Text: DOI arXiv
Depauw, Jérôme Resistivity of an infinite three dimensional stationary random electric conductor. (English) Zbl 1132.37029 Commun. Math. Phys. 274, No. 2, 381-397 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37N20 60G60 78A55 82B44 37A20 PDFBibTeX XMLCite \textit{J. Depauw}, Commun. Math. Phys. 274, No. 2, 381--397 (2007; Zbl 1132.37029) Full Text: DOI
Jakobson, Dmitry; Strohmaier, Alexander High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows. (English) Zbl 1114.58014 Commun. Math. Phys. 270, No. 3, 813-833 (2007). MSC: 58J30 35Q40 81Q50 46L60 35P20 37A30 37D40 PDFBibTeX XMLCite \textit{D. Jakobson} and \textit{A. Strohmaier}, Commun. Math. Phys. 270, No. 3, 813--833 (2007; Zbl 1114.58014) Full Text: DOI arXiv
Boca, Florin P.; Zaharescu, Alexandru The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit. (English) Zbl 1143.37002 Commun. Math. Phys. 269, No. 2, 425-471 (2007). MSC: 37A25 11B57 37A60 37D50 82C05 82C40 PDFBibTeX XMLCite \textit{F. P. Boca} and \textit{A. Zaharescu}, Commun. Math. Phys. 269, No. 2, 425--471 (2007; Zbl 1143.37002) Full Text: DOI arXiv
Keller, Gerhard; Liverani, Carlangelo Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension. (English) Zbl 1107.37019 Commun. Math. Phys. 262, No. 1, 33-50 (2006). Reviewer: Michael L. Blank (Moskva) MSC: 37C40 37C30 37A25 37A60 37D20 82C20 PDFBibTeX XMLCite \textit{G. Keller} and \textit{C. Liverani}, Commun. Math. Phys. 262, No. 1, 33--50 (2006; Zbl 1107.37019) Full Text: DOI
Bunimovich, Leonid A.; Magno, Gianluigi Del Semi-focusing billiards: Hyperbolicity. (English) Zbl 1103.37024 Commun. Math. Phys. 262, No. 1, 17-32 (2006). MSC: 37D50 37J10 37A25 PDFBibTeX XMLCite \textit{L. A. Bunimovich} and \textit{G. D. Magno}, Commun. Math. Phys. 262, No. 1, 17--32 (2006; Zbl 1103.37024) Full Text: DOI
Tyran-Kamińska, Marta An invariance principle for maps with polynomial decay of correlations. (English) Zbl 1119.28010 Commun. Math. Phys. 260, No. 1, 1-15 (2005). Reviewer: Manfred Denker (Göttingen) MSC: 28D05 37A25 37C30 60F17 37A50 PDFBibTeX XMLCite \textit{M. Tyran-Kamińska}, Commun. Math. Phys. 260, No. 1, 1--15 (2005; Zbl 1119.28010) Full Text: DOI arXiv
Luzzatto, Stefano; Melbourne, Ian; Paccaut, Frederic The Lorenz attractor is mixing. (English) Zbl 1082.37030 Commun. Math. Phys. 260, No. 2, 393-401 (2005). MSC: 37D45 37A25 PDFBibTeX XMLCite \textit{S. Luzzatto} et al., Commun. Math. Phys. 260, No. 2, 393--401 (2005; Zbl 1082.37030) Full Text: DOI arXiv
Rivin, Igor On some mean matrix inequalities of dynamical interest. (English) Zbl 1065.37007 Commun. Math. Phys. 254, No. 3, 651-658 (2005). MSC: 37A25 15A45 37C40 PDFBibTeX XMLCite \textit{I. Rivin}, Commun. Math. Phys. 254, No. 3, 651--658 (2005; Zbl 1065.37007) Full Text: DOI arXiv
Bolte, Jens; Glaser, Rainer A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators. (English) Zbl 1067.82036 Commun. Math. Phys. 247, No. 2, 391-419 (2004). Reviewer: Bassano Vacchini (Milano) MSC: 82C10 47G30 47N50 PDFBibTeX XMLCite \textit{J. Bolte} and \textit{R. Glaser}, Commun. Math. Phys. 247, No. 2, 391--419 (2004; Zbl 1067.82036) Full Text: DOI arXiv
Nachtergaele, Bruno; Yau, Horng-Tzer Derivation of the Euler equations from quantum dynamics. (English) Zbl 1079.82008 Commun. Math. Phys. 243, No. 3, 485-540 (2003). Reviewer: Piotr Garbaczewski (Zielona Góra) MSC: 82C10 60F10 37A35 81V70 PDFBibTeX XMLCite \textit{B. Nachtergaele} and \textit{H.-T. Yau}, Commun. Math. Phys. 243, No. 3, 485--540 (2003; Zbl 1079.82008) Full Text: DOI arXiv
Bálint, Péter; Tóth, Imre Péter Correlation decay in certain soft billiards. (English) Zbl 1078.37028 Commun. Math. Phys. 243, No. 1, 55-91 (2003). MSC: 37D50 37A25 82C05 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{I. P. Tóth}, Commun. Math. Phys. 243, No. 1, 55--91 (2003; Zbl 1078.37028) Full Text: DOI
Barreira, Luis; Wolf, Christian Measures of maximal dimension for hyperbolic diffeomorphisms. (English) Zbl 1024.37025 Commun. Math. Phys. 239, No. 1-2, 93-113 (2003). Reviewer: Nikolai Chernov (Birmingham) MSC: 37D35 37C45 37A05 37A25 37C40 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Wolf}, Commun. Math. Phys. 239, No. 1--2, 93--113 (2003; Zbl 1024.37025) Full Text: DOI
Del Magno, Gianluigi; Markarian, Roberto Bernoulli elliptical stadia. (English) Zbl 1082.37033 Commun. Math. Phys. 233, No. 2, 211-230 (2003). MSC: 37D50 37A25 37J99 82C05 PDFBibTeX XMLCite \textit{G. Del Magno} and \textit{R. Markarian}, Commun. Math. Phys. 233, No. 2, 211--230 (2003; Zbl 1082.37033) Full Text: DOI
Yuri, Michiko Multifractal analysis of weak Gibbs measures for intermittent systems. (English) Zbl 1027.37013 Commun. Math. Phys. 230, No. 2, 365-388 (2002). MSC: 37C40 37A25 28D05 PDFBibTeX XMLCite \textit{M. Yuri}, Commun. Math. Phys. 230, No. 2, 365--388 (2002; Zbl 1027.37013) Full Text: DOI
Melbourne, Ian; Török, Andrei Central limit theorems and invariance principles for time-one maps of hyperbolic flows. (English) Zbl 1098.37501 Commun. Math. Phys. 229, No. 1, 57-71 (2002). MSC: 37A25 37D30 60F05 60F15 60F17 37A50 PDFBibTeX XMLCite \textit{I. Melbourne} and \textit{A. Török}, Commun. Math. Phys. 229, No. 1, 57--71 (2002; Zbl 1098.37501) Full Text: DOI
Pène, Françoise Rates of convergence in the CLT for two-dimensional dispersive billiards. (English) Zbl 1040.37023 Commun. Math. Phys. 225, No. 1, 91-119 (2002). Reviewer: Bart D’Hooghe (Brussels) MSC: 37D50 37A25 PDFBibTeX XMLCite \textit{F. Pène}, Commun. Math. Phys. 225, No. 1, 91--119 (2002; Zbl 1040.37023) Full Text: DOI
Buzzi, Jérôme No or infinitely many a. c. i. p. for piecewise expanding \(C^r\) maps in higher dimensions. (English) Zbl 1001.37003 Commun. Math. Phys. 222, No. 3, 495-501 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37A05 37C40 37E99 37D99 PDFBibTeX XMLCite \textit{J. Buzzi}, Commun. Math. Phys. 222, No. 3, 495--501 (2001; Zbl 1001.37003) Full Text: DOI
Pollicott, M.; Yuri, M. Statistical properties of maps with indifferent periodic points. (English) Zbl 0996.37030 Commun. Math. Phys. 217, No. 3, 503-520 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37D25 37A25 11K55 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{M. Yuri}, Commun. Math. Phys. 217, No. 3, 503--520 (2001; Zbl 0996.37030) Full Text: DOI
Koyama, Shin-ya Quantum ergodicity of Eisenstein series for arithmetic 3-manifolds. (English) Zbl 0982.11030 Commun. Math. Phys. 215, No. 2, 477-486 (2000). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F72 58J51 11M36 PDFBibTeX XMLCite \textit{S.-y. Koyama}, Commun. Math. Phys. 215, No. 2, 477--486 (2000; Zbl 0982.11030) Full Text: DOI
Barreira, L.; Saussol, B. Multifractal analysis of hyperbolic flows. (English) Zbl 0978.37018 Commun. Math. Phys. 214, No. 2, 339-371 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37D20 37A25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{B. Saussol}, Commun. Math. Phys. 214, No. 2, 339--371 (2000; Zbl 0978.37018) Full Text: DOI
Dolgopyat, Dmitry On dynamics of mostly contracting diffeomorphisms. (English) Zbl 0964.37020 Commun. Math. Phys. 213, No. 1, 181-201 (2000). Reviewer: Sergiy Yanchuk (Kyïv) MSC: 37D30 37C40 37A25 PDFBibTeX XMLCite \textit{D. Dolgopyat}, Commun. Math. Phys. 213, No. 1, 181--201 (2000; Zbl 0964.37020) Full Text: DOI
Hirata, Masaki; Saussol, Benoît; Vaienti, Sandro Statistics of return times: A general framework and new applications. (English) Zbl 0955.37001 Commun. Math. Phys. 206, No. 1, 33-55 (1999). Reviewer: Ilya Pavlyukevitch (Berlin) MSC: 37A25 28D05 37D20 37E05 60F05 PDFBibTeX XMLCite \textit{M. Hirata} et al., Commun. Math. Phys. 206, No. 1, 33--55 (1999; Zbl 0955.37001) Full Text: DOI
Knill, Oliver Weakly mixing invariant tori of Hamiltonian systems. (English) Zbl 0945.37001 Commun. Math. Phys. 204, No. 1, 85-88 (1999). Reviewer: Lev Lerman (Berlin) MSC: 37A25 37K05 37J40 PDFBibTeX XMLCite \textit{O. Knill}, Commun. Math. Phys. 204, No. 1, 85--88 (1999; Zbl 0945.37001) Full Text: DOI
Walkden, C. P. Stable ergodic properties of cocycles over hyperbolic attractors. (English) Zbl 0941.37013 Commun. Math. Phys. 205, No. 2, 263-281 (1999). Reviewer: U.Hamenstädt (Bonn) MSC: 37D05 37A25 PDFBibTeX XMLCite \textit{C. P. Walkden}, Commun. Math. Phys. 205, No. 2, 263--281 (1999; Zbl 0941.37013) Full Text: DOI
Zelditch, Steven Quantum ergodicity of \(C^*\) dynamical systems. (English) Zbl 0856.58019 Commun. Math. Phys. 177, No. 2, 507-528 (1996). Reviewer: S.L.Kalpazidou (Thessaloniki) MSC: 53D50 81S10 PDFBibTeX XMLCite \textit{S. Zelditch}, Commun. Math. Phys. 177, No. 2, 507--528 (1996; Zbl 0856.58019) Full Text: DOI arXiv
Gielis, G.; Maes, C. Percolation techniques in disordered spin flip dynamics: Relaxation to the unique invariant measure. (English) Zbl 0851.60096 Commun. Math. Phys. 177, No. 1, 83-101 (1996). MSC: 60K35 82B43 82C31 PDFBibTeX XMLCite \textit{G. Gielis} and \textit{C. Maes}, Commun. Math. Phys. 177, No. 1, 83--101 (1996; Zbl 0851.60096) Full Text: DOI
Zelditch, Steven; Zworski, Maciej Ergodicity of eigenfunctions for ergodic billiards. (English) Zbl 0840.58048 Commun. Math. Phys. 175, No. 3, 673-682 (1996). MSC: 58J50 37A99 PDFBibTeX XMLCite \textit{S. Zelditch} and \textit{M. Zworski}, Commun. Math. Phys. 175, No. 3, 673--682 (1996; Zbl 0840.58048) Full Text: DOI
Degli Esposti, Mirko; Graffi, Sandro; Isola, Stefano Classical limit of the quantized hyperbolic toral automorphisms. (English) Zbl 0822.58022 Commun. Math. Phys. 167, No. 3, 471-507 (1995). MSC: 53D50 81S20 81S30 PDFBibTeX XMLCite \textit{M. Degli Esposti} et al., Commun. Math. Phys. 167, No. 3, 471--507 (1995; Zbl 0822.58022) Full Text: DOI
Matsui, Taku Purification and uniqueness of quantum Gibbs states. (English) Zbl 0802.60094 Commun. Math. Phys. 162, No. 2, 321-332 (1994). Reviewer: N.E.Ratanov (Chelyabinsk) MSC: 60K35 60K40 82B44 82C22 PDFBibTeX XMLCite \textit{T. Matsui}, Commun. Math. Phys. 162, No. 2, 321--332 (1994; Zbl 0802.60094) Full Text: DOI
Luo, W.; Sarnak, P. Number variance for arithmetic hyperbolic surfaces. (English) Zbl 0797.58069 Commun. Math. Phys. 161, No. 2, 419-432 (1994). MSC: 11F72 11F06 81Q50 58J51 PDFBibTeX XMLCite \textit{W. Luo} and \textit{P. Sarnak}, Commun. Math. Phys. 161, No. 2, 419--432 (1994; Zbl 0797.58069) Full Text: DOI
Rudnick, Zeév; Sarnak, Peter The behaviour of eigenstates of arithmetic hyperbolic manifolds. (English) Zbl 0836.58043 Commun. Math. Phys. 161, No. 1, 195-213 (1994). MSC: 11F72 58J51 81Q50 11F32 11F37 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{P. Sarnak}, Commun. Math. Phys. 161, No. 1, 195--213 (1994; Zbl 0836.58043) Full Text: DOI
Zelditch, Steven On the rate of quantum ergodicity. I: Upper bounds. (English) Zbl 0788.58043 Commun. Math. Phys. 160, No. 1, 81-92 (1994). MSC: 37D40 53D25 81Q10 58J50 PDFBibTeX XMLCite \textit{S. Zelditch}, Commun. Math. Phys. 160, No. 1, 81--92 (1994; Zbl 0788.58043) Full Text: DOI
Maes, Christian; Shlosman, Senya B. When is an interacting particle system ergodic? (English) Zbl 0765.60102 Commun. Math. Phys. 151, No. 3, 447-466 (1993). MSC: 60K35 81S99 68Q45 PDFBibTeX XMLCite \textit{C. Maes} and \textit{S. B. Shlosman}, Commun. Math. Phys. 151, No. 3, 447--466 (1993; Zbl 0765.60102) Full Text: DOI
Cogburn, R.; Ellison, J. A. A stochastic theory of adiabatic invariance. (English) Zbl 0755.60095 Commun. Math. Phys. 149, No. 1, 97-126 (1992). MSC: 60K40 60H10 PDFBibTeX XMLCite \textit{R. Cogburn} and \textit{J. A. Ellison}, Commun. Math. Phys. 149, No. 1, 97--126 (1992; Zbl 0755.60095) Full Text: DOI
Zelditch, Steven Quantum ergodicity on the sphere. (English) Zbl 0759.58049 Commun. Math. Phys. 146, No. 1, 61-71 (1992). Reviewer: E.Petrişor (Timişoara) MSC: 58J50 81P99 PDFBibTeX XMLCite \textit{S. Zelditch}, Commun. Math. Phys. 146, No. 1, 61--71 (1992; Zbl 0759.58049) Full Text: DOI
Bunimovich, Leonid; Liverani, Carlangelo; Pellegrinotti, Alessandro; Suhov, Yurii Ergodic systems of \(n\) balls in a billiard table. (English) Zbl 0759.58023 Commun. Math. Phys. 146, No. 2, 357-396 (1992). Reviewer: Emilia Petrişor (Timişoara) MSC: 37D50 PDFBibTeX XMLCite \textit{L. Bunimovich} et al., Commun. Math. Phys. 146, No. 2, 357--396 (1992; Zbl 0759.58023) Full Text: DOI
Shirvani, M.; Rogers, T. D. On ergodic one-dimensional cellular automata. (English) Zbl 0725.28012 Commun. Math. Phys. 136, No. 3, 599-605 (1991). Reviewer: E.Kaniuth (Paderborn) MSC: 28D05 68Q45 68Q80 22D40 PDFBibTeX XMLCite \textit{M. Shirvani} and \textit{T. D. Rogers}, Commun. Math. Phys. 136, No. 3, 599--605 (1991; Zbl 0725.28012) Full Text: DOI
Cutler, C. D. A dynamical system with integer information dimension and fractal correlation exponent. (English) Zbl 0704.58036 Commun. Math. Phys. 129, No. 3, 621-629 (1990). Reviewer: C.H.Cap MSC: 37D99 28D05 54H20 PDFBibTeX XMLCite \textit{C. D. Cutler}, Commun. Math. Phys. 129, No. 3, 621--629 (1990; Zbl 0704.58036) Full Text: DOI
Beck, Christian Ergodic properties of a kicked damped particle. (English) Zbl 0699.60076 Commun. Math. Phys. 130, No. 1, 51-60 (1990). MSC: 60J70 PDFBibTeX XMLCite \textit{C. Beck}, Commun. Math. Phys. 130, No. 1, 51--60 (1990; Zbl 0699.60076) Full Text: DOI
Shirvani, M.; Rogers, T. D. Ergodic endomorphisms of compact Abelian groups. (English) Zbl 0664.22005 Commun. Math. Phys. 118, No. 3, 401-410 (1988). Reviewer: E.Kaniuth MSC: 22C05 28D05 68Q80 22D40 PDFBibTeX XMLCite \textit{M. Shirvani} and \textit{T. D. Rogers}, Commun. Math. Phys. 118, No. 3, 401--410 (1988; Zbl 0664.22005) Full Text: DOI
Helffer, B.; Martinez, A.; Robert, D. Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). (French) Zbl 0624.58039 Commun. Math. Phys. 109, 313-326 (1987). Reviewer: G.Jetschke MSC: 58Z05 37A99 81Q10 81Q15 PDFBibTeX XMLCite \textit{B. Helffer} et al., Commun. Math. Phys. 109, 313--326 (1987; Zbl 0624.58039) Full Text: DOI
Colin de Verdière, Yves Ergodicity and eigenfunctions of the Laplacian. (Ergodicité et fonctions propres du laplacien.) (French) Zbl 0592.58050 Commun. Math. Phys. 102, 497-502 (1985). Reviewer: Udo Simon (Berlin) MSC: 58J51 35P20 11M36 11F72 53C20 PDFBibTeX XMLCite \textit{Y. Colin de Verdière}, Commun. Math. Phys. 102, 497--502 (1985; Zbl 0592.58050) Full Text: DOI
Pillet, Claude-Alain Some results on the quantum dynamics of a particle in a Markovian potential. (English) Zbl 0591.60073 Commun. Math. Phys. 102, 237-254 (1985). Reviewer: Weizhe Yang MSC: 60J35 47D07 82D30 81Q10 28D10 PDFBibTeX XMLCite \textit{C.-A. Pillet}, Commun. Math. Phys. 102, 237--254 (1985; Zbl 0591.60073) Full Text: DOI
Bunimovich, L. A. On the ergodic properties of nowhere dispersing billiards. (English) Zbl 0421.58017 Commun. Math. Phys. 65, 295-312 (1979). MSC: 37D40 53D25 37N99 37A99 PDFBibTeX XMLCite \textit{L. A. Bunimovich}, Commun. Math. Phys. 65, 295--312 (1979; Zbl 0421.58017) Full Text: DOI
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. Stability properties and the KMS condition. (English) Zbl 0392.46039 Commun. Math. Phys. 61, 209-238 (1978). MSC: 46L05 46L55 46L30 46L10 PDFBibTeX XMLCite \textit{O. Bratteli} et al., Commun. Math. Phys. 61, 209--238 (1978; Zbl 0392.46039) Full Text: DOI