Szewczak, Zbigniew; Weber, Michel Classical and almost sure local limit theorems. (English) Zbl 07800604 Diss. Math. 589, 1-97 (2023). MSC: 60-02 60F05 11K50 60F15 60G50 60J05 PDFBibTeX XMLCite \textit{Z. Szewczak} and \textit{M. Weber}, Diss. Math. 589, 1--97 (2023; Zbl 07800604) Full Text: DOI arXiv
Chen, Jianyu; Wang, Fang; Zhang, Hong-Kun Inducing schemes with finite weighted complexity. (English) Zbl 07782595 J. Stat. Phys. 190, No. 12, Paper No. 195, 26 p. (2023). MSC: 37D35 37C83 37D40 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Stat. Phys. 190, No. 12, Paper No. 195, 26 p. (2023; Zbl 07782595) Full Text: DOI arXiv
Jacelon, Bhishan Chaotic tracial dynamics. (English) Zbl 1526.46045 Forum Math. Sigma 11, Paper No. e39, 21 p. (2023). MSC: 46L55 46L35 46L85 37E05 37A25 37A55 PDFBibTeX XMLCite \textit{B. Jacelon}, Forum Math. Sigma 11, Paper No. e39, 21 p. (2023; Zbl 1526.46045) Full Text: DOI arXiv
Caputo, Pietro (ed.); Toninelli, Fabio L. (ed.); Tóth, Bálint (ed.) Large scale stochastic dynamics. Abstracts from the workshop held September 11–17, 2022. (English) Zbl 1520.00022 Oberwolfach Rep. 19, No. 3, 2399-2466 (2022). MSC: 00B05 00B25 82-06 82C05 82C20 82C24 82C40 60J10 PDFBibTeX XMLCite \textit{P. Caputo} (ed.) et al., Oberwolfach Rep. 19, No. 3, 2399--2466 (2022; Zbl 1520.00022) Full Text: DOI
Su, Yaofeng; Bunimovich, Leonid A. Poisson approximations and convergence rates for hyperbolic dynamical systems. (English) Zbl 1500.37009 Commun. Math. Phys. 390, No. 1, 113-168 (2022). Reviewer: Jinqiao Duan (Chicago) MSC: 37A50 37D20 37C70 37C83 PDFBibTeX XMLCite \textit{Y. Su} and \textit{L. A. Bunimovich}, Commun. Math. Phys. 390, No. 1, 113--168 (2022; Zbl 1500.37009) Full Text: DOI arXiv
Pène, Françoise; Thomine, Damien Central limit theorems for the \(\mathbb{Z}^2\)-periodic Lorentz gas. (English) Zbl 1466.37007 Isr. J. Math. 241, No. 2, 539-582 (2021). Reviewer: George Stoica (Saint John) MSC: 37A50 37A30 37A40 37C40 PDFBibTeX XMLCite \textit{F. Pène} and \textit{D. Thomine}, Isr. J. Math. 241, No. 2, 539--582 (2021; Zbl 1466.37007) Full Text: DOI arXiv
Aimino, Romain; Liverani, Carlangelo Deterministic walks in random environment. (English) Zbl 1456.60269 Ann. Probab. 48, No. 5, 2212-2257 (2020). MSC: 60K37 37A25 37C30 60G50 PDFBibTeX XMLCite \textit{R. Aimino} and \textit{C. Liverani}, Ann. Probab. 48, No. 5, 2212--2257 (2020; Zbl 1456.60269) Full Text: DOI arXiv Euclid
Melbourne, Ian; Varandas, Paulo Convergence to a Lévy process in the Skorohod \(\mathcal{M}_1\) and \(\mathcal{M}_2\) topologies for nonuniformly hyperbolic systems, including billiards with cusps. (English) Zbl 1440.37013 Commun. Math. Phys. 375, No. 1, 653-678 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37A50 37C83 37D25 60G51 PDFBibTeX XMLCite \textit{I. Melbourne} and \textit{P. Varandas}, Commun. Math. Phys. 375, No. 1, 653--678 (2020; Zbl 1440.37013) Full Text: DOI arXiv
Grigo, Alexander A rigorous derivation of Haff’s Law for a periodic two-disk fluid. (English) Zbl 1426.82057 J. Stat. Phys. 176, No. 4, 806-835 (2019). MSC: 82C70 82C22 37C83 76T25 PDFBibTeX XMLCite \textit{A. Grigo}, J. Stat. Phys. 176, No. 4, 806--835 (2019; Zbl 1426.82057) Full Text: DOI arXiv
Demers, Mark F.; Rey-Bellet, Luc; Zhang, Hong-Kun Fluctuation of the entropy production for the Lorentz gas under small external forces. (English) Zbl 1403.82016 Commun. Math. Phys. 363, No. 2, 699-740 (2018). MSC: 82D05 82C10 37A60 37D50 PDFBibTeX XMLCite \textit{M. F. Demers} et al., Commun. Math. Phys. 363, No. 2, 699--740 (2018; Zbl 1403.82016) Full Text: DOI arXiv
Melbourne, Ian Superpolynomial and polynomial mixing for semiflows and flows. (English) Zbl 1429.37013 Nonlinearity 31, No. 10, R268-R316 (2018). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37C10 37D45 37D25 37A25 37C83 PDFBibTeX XMLCite \textit{I. Melbourne}, Nonlinearity 31, No. 10, R268--R316 (2018; Zbl 1429.37013) Full Text: DOI arXiv
Pène, Françoise Mixing in infinite measure for \(\mathbb Z^d\)-extensions, application to the periodic Sinai billiard. (English) Zbl 1392.37015 Chaos Solitons Fractals 106, 44-48 (2018). MSC: 37B20 PDFBibTeX XMLCite \textit{F. Pène}, Chaos Solitons Fractals 106, 44--48 (2018; Zbl 1392.37015) Full Text: DOI arXiv
Baladi, Viviane; Demers, Mark F.; Liverani, Carlangelo Exponential decay of correlations for finite horizon Sinai billiard flows. (English) Zbl 1382.37037 Invent. Math. 211, No. 1, 39-177 (2018). Reviewer: George Stoica (Saint John) MSC: 37D50 37A50 37C30 PDFBibTeX XMLCite \textit{V. Baladi} et al., Invent. Math. 211, No. 1, 39--177 (2018; Zbl 1382.37037) Full Text: DOI arXiv
Bolotin, Sergey V. Degenerate billiards. (English, Russian) Zbl 1376.37080 Proc. Steklov Inst. Math. 295, 45-62 (2016); translation in Tr. Mat. Inst. Steklova 295, 53-71 (2016). MSC: 37D50 37J35 70F15 70F35 PDFBibTeX XMLCite \textit{S. V. Bolotin}, Proc. Steklov Inst. Math. 295, 45--62 (2016; Zbl 1376.37080); translation in Tr. Mat. Inst. Steklova 295, 53--71 (2016) Full Text: DOI arXiv
Kelly, David; Melbourne, Ian Smooth approximation of stochastic differential equations. (English) Zbl 1372.60082 Ann. Probab. 44, No. 1, 479-520 (2016). Reviewer: Oliver Janke (Berlin) MSC: 60H10 60H05 60F17 60F05 37D20 37D25 37A50 PDFBibTeX XMLCite \textit{D. Kelly} and \textit{I. Melbourne}, Ann. Probab. 44, No. 1, 479--520 (2016; Zbl 1372.60082) Full Text: DOI arXiv Euclid
Demers, Mark F. Dispersing billiards with small holes. (English) Zbl 1352.37106 Bahsoun, Wael (ed.) et al., Ergodic theory, open dynamics, and coherent structures. Proceedings of the workshop at the Banff International Research Station (BIRS), Banff, Canada, April 9–15, 2012. New York, NY: Springer (ISBN 978-1-4939-0418-1/hbk; 978-1-4939-0419-8/ebook). Springer Proceedings in Mathematics & Statistics 70, 137-170 (2014). MSC: 37D50 37C40 37C30 PDFBibTeX XMLCite \textit{M. F. Demers}, Springer Proc. Math. Stat. 70, 137--170 (2014; Zbl 1352.37106) Full Text: DOI
De Simoi, Jacopo; Tóth, Imre Péter An expansion estimate for dispersing planar billiards with corner points. (English) Zbl 1350.37041 Ann. Henri Poincaré 15, No. 6, 1223-1243 (2014). MSC: 37D50 37A25 PDFBibTeX XMLCite \textit{J. De Simoi} and \textit{I. P. Tóth}, Ann. Henri Poincaré 15, No. 6, 1223--1243 (2014; Zbl 1350.37041) 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
Golse, François Recent results on the periodic Lorentz gas. (English) Zbl 1295.35352 Cabré, Xavier (ed.) et al., Nonlinear partial differential equations. Lecture notes from the school on topics in PDE’s and applications, Granada and Barcelona, Spain, 2008. Basel: Birkhäuser (ISBN 978-3-0348-0190-4/pbk; 978-3-0348-0191-1/ebook). Advanced Courses in Mathematics - CRM Barcelona, 39-99 (2012). Reviewer: Ekaterina Balakina (Novosibirsk) MSC: 35Q20 82C40 47H99 60J10 PDFBibTeX XMLCite \textit{F. Golse}, in: Nonlinear partial differential equations. Lecture notes from the school on topics in PDE's and applications, Granada and Barcelona, Spain, 2008. Basel: Birkhäuser. 39--99 (2012; Zbl 1295.35352) Full Text: DOI arXiv
Carbone, Lisa; Naqvi, Yusra Hyperbolic Kac-Moody Weyl groups, billiard tables and actions of lattices on buildings. (English) Zbl 1250.20039 J. Pure Appl. Algebra 216, No. 3, 495-518 (2012). Reviewer: L. N. Vaserstein (University Park) MSC: 20G44 22E40 20E42 20F55 51E24 PDFBibTeX XMLCite \textit{L. Carbone} and \textit{Y. Naqvi}, J. Pure Appl. Algebra 216, No. 3, 495--518 (2012; Zbl 1250.20039) Full Text: DOI
Nándori, Péter Recurrence properties of a special type of heavy-tailed random walk. (English) Zbl 1223.60021 J. Stat. Phys. 142, No. 2, 342-355 (2011). Reviewer: Achim Klenke (Mainz) MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{P. Nándori}, J. Stat. Phys. 142, No. 2, 342--355 (2011; Zbl 1223.60021) Full Text: DOI arXiv
Bianca, Carlo Weyl-flow and the conformally symplectic structure of thermostatted billiards: the problem of the hyperbolicity. (English) Zbl 1371.37068 Nonlinear Anal., Hybrid Syst. 5, No. 1, 32-51 (2011). MSC: 37D50 37J05 37N20 PDFBibTeX XMLCite \textit{C. Bianca}, Nonlinear Anal., Hybrid Syst. 5, No. 1, 32--51 (2011; Zbl 1371.37068) Full Text: DOI
Bianca, C. On the mathematical transport theory in microporous media: the billiard approach. (English) Zbl 1202.37055 Nonlinear Anal., Hybrid Syst. 4, No. 4, 699-735 (2010). MSC: 37D50 37A35 PDFBibTeX XMLCite \textit{C. Bianca}, Nonlinear Anal., Hybrid Syst. 4, No. 4, 699--735 (2010; Zbl 1202.37055) Full Text: DOI
Dolgopyat, Dmitry; Szász, Domokos; Varjú, Tamás Limit theorems for locally perturbed planar Lorentz processes. (English) Zbl 1177.37042 Duke Math. J. 148, No. 3, 459-499 (2009). Reviewer: Constantin Udrişte (Bucureşti) MSC: 37D50 60F05 60J65 PDFBibTeX XMLCite \textit{D. Dolgopyat} et al., Duke Math. J. 148, No. 3, 459--499 (2009; Zbl 1177.37042) Full Text: DOI arXiv
Dolgopyat, Dmitry; Szász, Domokos; Varjú, Tamás Recurrence properties of planar Lorentz process. (English) Zbl 1136.37022 Duke Math. J. 142, No. 2, 241-281 (2008). MSC: 37D50 60F05 PDFBibTeX XMLCite \textit{D. Dolgopyat} et al., Duke Math. J. 142, No. 2, 241--281 (2008; Zbl 1136.37022) Full Text: DOI Link
Chernov, N.; Zhang, H.-K. Regularity of Bunimovich’s stadia. (English) Zbl 1229.37031 Regul. Chaotic Dyn. 12, No. 3, 335-356 (2007). MSC: 37D50 70H06 PDFBibTeX XMLCite \textit{N. Chernov} and \textit{H. K. Zhang}, Regul. Chaotic Dyn. 12, No. 3, 335--356 (2007; Zbl 1229.37031) Full Text: DOI
Castella, F.; Degond, P.; Goudon, Th. Large time dynamics of a classical system subject to a fast varying force. (English) Zbl 1127.37052 Commun. Math. Phys. 276, No. 1, 23-49 (2007). MSC: 37L99 35B40 35F20 82C05 37N20 81V99 PDFBibTeX XMLCite \textit{F. Castella} et al., Commun. Math. Phys. 276, No. 1, 23--49 (2007; Zbl 1127.37052) Full Text: DOI
Melbourne, Ian; Nicol, Matthew Almost sure invariance principle for nonuniformly hyperbolic systems. (English) Zbl 1084.37024 Commun. Math. Phys. 260, No. 1, 131-146 (2005). MSC: 37D25 37A99 37C40 82B05 PDFBibTeX XMLCite \textit{I. Melbourne} and \textit{M. Nicol}, Commun. Math. Phys. 260, No. 1, 131--146 (2005; Zbl 1084.37024) Full Text: DOI arXiv
Bazzani, A.; Siboni, S.; Turchetti, G.; Vaienti, S. A model of modulated diffusion. II: Numerical results on statistical properties. (English) Zbl 0839.60074 J. Stat. Phys. 76, No. 3-4, 969-984 (1994). MSC: 60J70 81T70 PDFBibTeX XMLCite \textit{A. Bazzani} et al., J. Stat. Phys. 76, No. 3--4, 969--984 (1994; Zbl 0839.60074) Full Text: DOI
Chernov, N. I. Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus. (English) Zbl 0925.58072 J. Stat. Phys. 69, No. 1-2, 111-134 (1992); addendum ibid. 71, No. 1-2, 341-347 (1993). MSC: 37D99 37A99 37E99 PDFBibTeX XMLCite \textit{N. I. Chernov}, J. Stat. Phys. 69, No. 1--2, 111--134 (1992; Zbl 0925.58072) Full Text: DOI