Stoyanov, Luchezar Spectral properties of Ruelle transfer operators for regular Gibbs measures and decay of correlations for contact Anosov flows. (English) Zbl 1514.37004 Memoirs of the American Mathematical Society 1404. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5625-2/pbk; 978-1-4704-7405-8/ebook). v, 121 p. (2023). Reviewer: Alexander Felshtyn (Szczecin) MSC: 37-02 37D20 37C40 37D25 37C25 37C30 37D40 PDFBibTeX XMLCite \textit{L. Stoyanov}, Spectral properties of Ruelle transfer operators for regular Gibbs measures and decay of correlations for contact Anosov flows. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1514.37004) Full Text: DOI arXiv
Dehornoy, Pierre (ed.); Lanneau, Erwan (ed.) Teichmüller theory and dynamics. Based on the presentations at the 27th summer school on Teichmüller dynamics, mapping class groups and applications, Institut Fourier, Grenoble, France, June 11–22, 2018. (English) Zbl 1508.37014 Panoramas et Synthèses 58. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-966-1/pbk). xxiv, 134 p. (2022). MSC: 37-06 32-06 37D40 37D20 37A25 37C30 53D30 53C26 32G15 32G20 32Q45 PDFBibTeX XMLCite \textit{P. Dehornoy} (ed.) and \textit{E. Lanneau} (ed.), Teichmüller theory and dynamics. Based on the presentations at the 27th summer school on Teichmüller dynamics, mapping class groups and applications, Institut Fourier, Grenoble, France, June 11--22, 2018. Paris: Société Mathématique de France (SMF) (2022; Zbl 1508.37014)
Thurston, William P. Kerckhoff, Steven P. (ed.); Farb, Benson (ed.); Gabai, David (ed.) Collected works of William P. Thurston with commentary: III. Dynamics, computer science and general interest. Edited by Benson Farb, David Gabai and Steven P. Kerckhoff. (English) Zbl 1512.57001 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6390-8/hbk; 978-1-4704-6835-4/ebook; 978-1-4704-5164-6/ebook). xxi, 604 p. (2022). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57-06 37-06 20-06 68-06 20F10 37F15 68P05 37F34 37F44 03A05 57K30 37A35 37B40 57Z25 54H30 PDFBibTeX XMLCite \textit{W. P. Thurston} et al., Collected works of William P. Thurston with commentary: III. Dynamics, computer science and general interest. Edited by Benson Farb, David Gabai and Steven P. Kerckhoff. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1512.57001)
Urbański, Mariusz; Roy, Mario; Munday, Sara Non-invertible dynamical systems. Volume 2. Finer thermodynamic formalism – distance expanding maps and countable state subshifts of finite type, conformal GDMSs, Lasota-Yorke maps and fractal geometry. (English) Zbl 1505.37003 De Gruyter Expositions in Mathematics 69, 2. Berlin: De Gruyter (ISBN 978-3-11-070061-9/hbk; 978-3-11-070269-9/ebook; 978-3-11-070679-6/set). xxix, 431-921 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37-02 37B05 37D20 37D25 37D30 37D35 37E05 37E15 37E25 37C45 37C30 28A78 28A80 PDFBibTeX XMLCite \textit{M. Urbański} et al., Non-invertible dynamical systems. Volume 2. Finer thermodynamic formalism -- distance expanding maps and countable state subshifts of finite type, conformal GDMSs, Lasota-Yorke maps and fractal geometry. Berlin: De Gruyter (2022; Zbl 1505.37003) Full Text: DOI
Demers, Mark F.; Kiamari, Niloofar; Liverani, Carlangelo Transfer operators in hyperbolic dynamics. An introduction. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. (English) Zbl 1507.37024 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-65-89124-26-9). 238 p., open access (2021). MSC: 37C30 37D20 37D25 37D30 37C05 37E35 PDFBibTeX XMLCite \textit{M. F. Demers} et al., Transfer operators in hyperbolic dynamics. An introduction. Paper from the 33rd Brazilian mathematics colloquium -- 33\degree Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2--6, 2021. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2021; Zbl 1507.37024) Full Text: Link
Akin, Ethan; Glasner, Eli WAP systems and labeled subshifts. (English) Zbl 1455.37002 Memoirs of the American Mathematical Society 1265. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3761-9/pbk; 978-1-4704-5503-3/ebook). v, 116 p. (2019). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 37-02 37B51 37B10 54H15 PDFBibTeX XMLCite \textit{E. Akin} and \textit{E. Glasner}, WAP systems and labeled subshifts. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1455.37002) Full Text: DOI arXiv
Przytycki, Feliks; Rivera-Letelier, Juan Geometric pressure for multimodal maps of the interval. (English) Zbl 1443.37003 Memoirs of the American Mathematical Society 1246. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3567-7/pbk; 978-1-4704-5247-6/ebook). v, 81 p. (2019). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37-02 37C27 37C55 37E05 37B40 37D20 37D25 37D35 PDFBibTeX XMLCite \textit{F. Przytycki} and \textit{J. Rivera-Letelier}, Geometric pressure for multimodal maps of the interval. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1443.37003) Full Text: DOI arXiv
Barreira, Luís; Dragičević, Davor; Valls, Claudia Admissibility and hyperbolicity. (English) Zbl 1405.37002 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-90109-1/pbk; 978-3-319-90110-7/ebook). ix, 145 p. (2018). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37-02 37F15 34D09 37C75 PDFBibTeX XMLCite \textit{L. Barreira} et al., Admissibility and hyperbolicity. Cham: Springer (2018; Zbl 1405.37002) Full Text: DOI
Baladi, Viviane Dynamical zeta functions and dynamical determinants for hyperbolic maps. A functional approach. (English) Zbl 1405.37001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 68. Cham: Springer (ISBN 978-3-319-77660-6/hbk; 978-3-319-77661-3/ebook). xv, 291 p. (2018). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37-02 37C30 37D20 37D35 37F15 37A45 46E35 PDFBibTeX XMLCite \textit{V. Baladi}, Dynamical zeta functions and dynamical determinants for hyperbolic maps. A functional approach. Cham: Springer (2018; Zbl 1405.37001) Full Text: DOI
Pilyugin, Sergei Yu.; Sakai, Kazuhiro Shadowing and hyperbolicity. (English) Zbl 1426.37004 Lecture Notes in Mathematics 2193. Cham: Springer (ISBN 978-3-319-65183-5/pbk; 978-3-319-65184-2/ebook). xiv, 216 p. (2017). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37-02 37C50 37C20 37D20 PDFBibTeX XMLCite \textit{S. Yu. Pilyugin} and \textit{K. Sakai}, Shadowing and hyperbolicity. Cham: Springer (2017; Zbl 1426.37004) Full Text: DOI
Karnauhova, Anna Meanders. Sturm global attractors, seaweed Lie algebras and classical Yang-Baxter equation. (English) Zbl 1403.37004 Berlin: De Gruyter (ISBN 978-3-11-053147-3/hbk; 978-3-11-053302-6/ebook). viii, 138 p. (2017). Reviewer: Victor Petrogradsky (Brasilia) MSC: 37-02 37E25 16T25 17B20 37D20 17B05 17B60 37C70 PDFBibTeX XMLCite \textit{A. Karnauhova}, Meanders. Sturm global attractors, seaweed Lie algebras and classical Yang-Baxter equation. Berlin: De Gruyter (2017; Zbl 1403.37004) Full Text: DOI
Wen, Lan Differentiable dynamical systems. An introduction to structural stability and hyperbolicity. (English) Zbl 1362.37054 Graduate Studies in Mathematics 173. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2799-3/hbk; 978-1-4704-3210-2/ebook). xi, 192 p. (2016). Reviewer: Guy Jumarie (Montréal) MSC: 37C20 37C15 37D20 37-02 37D30 37C75 37D05 PDFBibTeX XMLCite \textit{L. Wen}, Differentiable dynamical systems. An introduction to structural stability and hyperbolicity. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1362.37054)
Viana, Marcelo; Oliveira, Krerley Foundations of ergodic theory. (English) Zbl 1369.37001 Cambridge Studies in Advanced Mathematics 151. Cambridge: Cambridge University Press (ISBN 978-1-107-12696-1/hbk; 978-1-316-42260-1/ebook). xvi, 530 p. (2016). Reviewer: Thomas B. Ward (Leeds) MSC: 37-02 37Axx 28A12 PDFBibTeX XMLCite \textit{M. Viana} and \textit{K. Oliveira}, Foundations of ergodic theory. Cambridge: Cambridge University Press (2016; Zbl 1369.37001) Full Text: DOI
Faure, Frédéric; Tsujii, Masato Prequantum transfer operator for symplectic Anosov diffeomorphism. (English) Zbl 1417.37012 Astérisque 375. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-823-7/pbk). ix, 222 p. (2015). MSC: 37-02 37D20 37D35 37C30 81Q20 81Q50 PDFBibTeX XMLCite \textit{F. Faure} and \textit{M. Tsujii}, Prequantum transfer operator for symplectic Anosov diffeomorphism. Paris: Société Mathématique de France (SMF) (2015; Zbl 1417.37012) Full Text: arXiv
Nekrashevych, Volodymyr V. Hyperbolic groupoids and duality. (English) Zbl 1353.37068 Mem. Am. Math. Soc. 1122, v, 105 p. (2015). MSC: 37D40 37D20 20L05 20F67 58H05 PDFBibTeX XMLCite \textit{V. V. Nekrashevych}, Hyperbolic groupoids and duality. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1353.37068) Full Text: DOI arXiv
Vlasenko, I. Yu. Inner maps: topological invariants and their applications. (Внутренние отображения: топологические инварианты и их приложения.) (Russian) Zbl 1324.37003 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 101. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-7379-5). 225 p. (2014). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 37-02 57-02 57N35 57N05 57R22 57S05 37A05 37C85 37D20 37E30 37C70 30C55 PDFBibTeX XMLCite \textit{I. Yu. Vlasenko}, Внутренние отображения: топологические инварианты и их приложения (Russian). Kyïv: Instytut Matematyky NAN Ukraïny (2014; Zbl 1324.37003)
Putnam, Ian F. A homology theory for Smale spaces. (English) Zbl 1350.37035 Mem. Am. Math. Soc. 1094, vii, 122 p. (2014). MSC: 37D20 37D45 PDFBibTeX XMLCite \textit{I. F. Putnam}, A homology theory for Smale spaces. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1350.37035) Full Text: DOI
Chen, Han-Fu; Zhao, Wenxiao Recursive identification and parameter estimation. (English) Zbl 1381.93003 Boca Raton, FL: CRC Press (ISBN 978-1-4665-6884-6/hbk; 978-1-138-03428-0/pbk; 978-1-4665-6886-0/ebook). xvii, 411 p. (2014). MSC: 93-02 93E12 93E10 90C15 93C10 PDFBibTeX XMLCite \textit{H.-F. Chen} and \textit{W. Zhao}, Recursive identification and parameter estimation. Boca Raton, FL: CRC Press (2014; Zbl 1381.93003) Full Text: DOI
Dal’Bo, Françoise (ed.); Peigné, Marc (ed.); Sambusetti, Andrea (ed.) Analytic and probabilistic approaches to dynamics in negative curvature. Based on the presentations at the INdAM workshop “Geometric, analytic and probabilistic approaches to dynamics in negative curvatrure”, Rome, Italy, May 13–17, 2013. (English) Zbl 1296.37002 Springer INdAM Series 9. Cham: Springer (ISBN 978-3-319-04806-2/hbk; 978-3-319-04807-9/ebook). xi, 138 p. (2014). MSC: 37-06 37D20 37C30 37D40 58J65 60G42 00B25 PDFBibTeX XMLCite \textit{F. Dal'Bo} (ed.) et al., Analytic and probabilistic approaches to dynamics in negative curvature. Based on the presentations at the INdAM workshop ``Geometric, analytic and probabilistic approaches to dynamics in negative curvatrure'', Rome, Italy, May 13--17, 2013. Cham: Springer (2014; Zbl 1296.37002) Full Text: DOI
Morales, Carlos A.; Sirvent, Víctor F. Expansive measures. Paper from the 29th Brazilian mathematics colloquium – 29\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 22 – August 2, 2013. (English) Zbl 1283.37002 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0360-6/pbk). vii, 89 p., open access (2013). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37-01 37A05 37A50 37B05 37D20 PDFBibTeX XMLCite \textit{C. A. Morales} and \textit{V. F. Sirvent}, Expansive measures. Paper from the 29th Brazilian mathematics colloquium -- 29\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 22 -- August 2, 2013. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2013; Zbl 1283.37002) Full Text: Link
Barreira, Luís Dimension theory of hyperbolic flows. (English) Zbl 1312.37003 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-00547-8/hbk; 978-3-319-00548-5/ebook). x, 158 p. (2013). Reviewer: Katrin Gelfert (Rio de Janeiro) MSC: 37-02 37D20 37D35 37C45 37B40 37A17 28A80 PDFBibTeX XMLCite \textit{L. Barreira}, Dimension theory of hyperbolic flows. Cham: Springer (2013; Zbl 1312.37003) Full Text: DOI
Kuznetsov, Sergey P. Hyperbolic chaos. A physicist’s view. (English) Zbl 1239.37002 Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-23665-5/hbk; 978-7-04-031964-4/hbk; 978-3-642-23666-2/ebook). xvi, 320 p. (2012). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 37-02 37D20 37Dxx 37Nxx PDFBibTeX XMLCite \textit{S. P. Kuznetsov}, Hyperbolic chaos. A physicist's view. Berlin: Springer; Beijing: Higher Education Press (2012; Zbl 1239.37002) Full Text: DOI
Zeraoulia, Elhadj; Sprott, Julien Clinton Robust chaos and its applications. (English) Zbl 1253.37004 World Scientific Series on Nonlinear Science, Series A 79. Hackensack, NJ: World Scientific (ISBN 978-981-4374-07-1/hbk; 978-981-4374-08-8/ebook). xvii, 454 p. (2012). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37-02 37D45 37D20 37C20 37B10 37C40 PDFBibTeX XMLCite \textit{E. Zeraoulia} and \textit{J. C. Sprott}, Robust chaos and its applications. Hackensack, NJ: World Scientific (2012; Zbl 1253.37004) Full Text: Link
Arbieto, Alexander; Santiago, Bruno; Sodero, Tatiana Star flows. Paper from the 28th Brazilian mathematics colloquium, Rio de Janeiro, Brazil, July 2011. (Fluxos estrela. 28\(^{\text o}\) Colóquio Brasileiro de Matemática.) (Portuguese) Zbl 1312.37002 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0320-0/pbk). x, 172 p. (2011). Reviewer: Martin Sambarino (Montevideo) MSC: 37-02 37C10 37C20 37C75 37C27 37D20 PDFBibTeX XMLCite \textit{A. Arbieto} et al., Fluxos estrela. 28\(^{\text o}\) Colóquio Brasileiro de Matemática (Portuguese). Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2011; Zbl 1312.37002)
Mayer, Volker; Skorulski, Bartłomiej; Urbański, Mariusz Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry. (English) Zbl 1237.37003 Lecture Notes in Mathematics 2036. Berlin: Springer (ISBN 978-3-642-23649-5/pbk; 978-3-642-23650-1/ebook). x, 112 p. (2011). Reviewer: Makoto Mori (Tokyo) MSC: 37-02 37D35 37C30 PDFBibTeX XMLCite \textit{V. Mayer} et al., Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry. Berlin: Springer (2011; Zbl 1237.37003) Full Text: DOI arXiv
Catsigeras, Eleonora Markov partitions for Anosov diffeomorphisms. (Particiones de Markov para difeomorfismos de Anosov.) (Spanish) Zbl 1218.37002 Madrid: Innova Libros (ISBN 978-84-938491-6-0/pbk). 63 p. (2011). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37-01 37D20 37A15 58J60 PDFBibTeX XMLCite \textit{E. Catsigeras}, Particiones de Markov para difeomorfismos de Anosov (Spanish). Madrid: Innova Libros (2011; Zbl 1218.37002)
Katok, Anatole; Nitică, Viorel Rigidity in higher rank abelian group actions. Volume 1. Introduction and cocycle problem. (English) Zbl 1232.37003 Cambridge Tracts in Mathematics 185. Cambridge: Cambridge University Press (ISBN 978-0-521-87909-5/hbk; 978-1-139-08897-8/ebook). vi, 313 p. (2011). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 37-02 37D30 37D20 37A20 57S25 37C15 37C85 37C40 37D25 PDFBibTeX XMLCite \textit{A. Katok} and \textit{V. Nitică}, Rigidity in higher rank abelian group actions. Volume 1. Introduction and cocycle problem. Cambridge: Cambridge University Press (2011; Zbl 1232.37003) Full Text: Link
Thomsen, Klaus \(C^*\)-algebras of homoclinic and heteroclinic structure in expansive dynamics. (English) Zbl 1206.46001 Mem. Am. Math. Soc. 970, x, 122 p. (2010). Reviewer: Victor Sharapov (Volgograd) MSC: 46-02 46L35 37D20 46L55 PDFBibTeX XMLCite \textit{K. Thomsen}, \(C^*\)-algebras of homoclinic and heteroclinic structure in expansive dynamics. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1206.46001) Full Text: DOI
Araújo, Vítor; Pacifico, Maria José Three-dimensional flows. (English) Zbl 1202.37002 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 53. Dordrecht: Springer (ISBN 978-3-642-11413-7/hbk; 978-3-642-11414-4/ebook). xix, 358 p. (2010). Reviewer: Angela Slavova (Sofia) MSC: 37-02 37C10 37C20 37C40 37C70 37D05 37D20 37D25 37D30 37D45 37D50 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{M. J. Pacifico}, Three-dimensional flows. Dordrecht: Springer (2010; Zbl 1202.37002) Full Text: DOI
Mihaljević-Brandt, Helena Topological dynamics of transcendental entire functions. (English) Zbl 1256.37001 Liverpool: Univ. Liverpool (Diss.). iv, 121 p., appendix xii. (2009). MSC: 37-02 30-02 37F10 30D05 37F15 37F50 30F45 PDFBibTeX XMLCite \textit{H. Mihaljević-Brandt}, Topological dynamics of transcendental entire functions. Liverpool: Univ. Liverpool (Diss.) (2009; Zbl 1256.37001)
Haïssinsky, Peter; Pilgrim, Kevin M. Coarse expanding conformal dynamics. (English) Zbl 1206.37002 Astérisque 325. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-266-2/pbk). viii, 139 p. (2009). Reviewer: Mike Hurley (Cleveland) MSC: 37-02 53C23 30C65 37B99 37D20 37F15 37F20 37F30 54E40 PDFBibTeX XMLCite \textit{P. Haïssinsky} and \textit{K. M. Pilgrim}, Coarse expanding conformal dynamics. Paris: Société Mathématique de France (SMF) (2009; Zbl 1206.37002) Full Text: arXiv Link
Pesin, Yakov; Climenhaga, Vaughn Lectures on fractal geometry and dynamical systems. (English) Zbl 1186.37003 Student Mathematical Library 52. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4889-0/pbk). xvi, 314 p. (2009). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 37-01 37C45 37B10 37D20 37E05 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{V. Climenhaga}, Lectures on fractal geometry and dynamical systems. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1186.37003)
Arbieto, Alexander; Morales, Carlos Dynamics of partial actions. Paper from the 27th Brazilian Mathematics Colloquium – 27\(°\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 27–31, 2009. (English) Zbl 1192.37001 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0296-8/pbk). ix, 130 p., open access (2009). Reviewer: Andrzej Piatkowski (Łódź) MSC: 37-01 37D20 53C12 PDFBibTeX XMLCite \textit{A. Arbieto} and \textit{C. Morales}, Dynamics of partial actions. Paper from the 27th Brazilian Mathematics Colloquium -- 27\(\degree\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 27--31, 2009. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2009; Zbl 1192.37001) Full Text: Link
Bowen, Rufus Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. (English) Zbl 1172.37001 Lecture Notes in Mathematics 470. Berlin: Springer (ISBN 978-3-540-77605-5/pbk). viii, 74 p. (2008). Reviewer: Carlos Vasquez (Valparaiso) MSC: 37-02 37D20 37D35 PDFBibTeX XMLCite \textit{R. Bowen}, Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Berlin: Springer (2008; Zbl 1172.37001) Full Text: DOI
Araújo, Vítor; Pacífico, Maria José Three dimensional flows. Paper from the 26th Brazilian Mathematics Colloquium – Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 29–August 3, 2007. (English) Zbl 1151.37022 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0260-9/pbk). xii, 290 p., open access (2007). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37C10 37C70 37D20 37D25 37D45 37D30 37A05 37Exx 37C40 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{M. J. Pacífico}, Three dimensional flows. Paper from the 26th Brazilian Mathematics Colloquium -- Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 29--August 3, 2007. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2007; Zbl 1151.37022) Full Text: Link
Abdenur, Flavio; França, Luiz Felipe Nobili Hyperbolicity, stability and chaos in dimension one. Paper from the 26th Brazilian Mathematics Colloquium – Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 29–August 3, 2007. (Hiperbolicidade, estabilidade e caos em dimensão um.) (Portuguese) Zbl 1159.37001 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0253-1/pbk). ii, 89 p., open access (2007). Reviewer: Victor Jiménez López (Murcia) MSC: 37-01 37E10 37B10 37D15 37D20 37D45 PDFBibTeX XMLCite \textit{F. Abdenur} and \textit{L. F. N. França}, Hiperbolicidade, estabilidade e caos em dimensão um (Portuguese). Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2007; Zbl 1159.37001) Full Text: Link
Calegari, Danny Foliations and the geometry of 3-manifolds. (English) Zbl 1118.57002 Oxford Mathematical Monographs; Oxford Science Publications. Oxford: Oxford University Press (ISBN 978-0-19-857008-0/hbk). xiv, 363 p. (2007). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57-02 57M50 37E10 37E45 57R30 37D20 57N10 PDFBibTeX XMLCite \textit{D. Calegari}, Foliations and the geometry of 3-manifolds. Oxford: Oxford University Press (2007; Zbl 1118.57002) Backlinks: MO
Collet, Pierre; Eckmann, Jean-Pierre Concepts and results in chaotic dynamics. A short course. (English) Zbl 1107.37001 Theoretical and Mathematical Physics (Cham). Berlin: Springer (ISBN 3-540-34705-4/hbk). xii, 230 p. (2006). Reviewer: Jerzy Ombach (Kraków) MSC: 37-01 37A25 37A30 37A35 37D05 37D20 82-01 PDFBibTeX XMLCite \textit{P. Collet} and \textit{J.-P. Eckmann}, Concepts and results in chaotic dynamics. A short course. Berlin: Springer (2006; Zbl 1107.37001)
Sturman, Rob; Ottino, Julio M.; Wiggins, Stephen The mathematical foundations of mixing. The linked twist map as a paradigm in applications. Micro to macro, fluids to solids. (English) Zbl 1111.37300 Cambridge Monographs on Applied and Computational Mathematics 22. Cambridge: Cambridge University Press (ISBN 0-521-86813-0/hbk). xix, 281 p. (2006). Reviewer: Ľubomír Snoha (Banská Bystrica) MSC: 37-02 37E40 37A25 37N10 37N25 37B05 37B10 37B25 37D20 37D25 76-02 PDFBibTeX XMLCite \textit{R. Sturman} et al., The mathematical foundations of mixing. The linked twist map as a paradigm in applications. Micro to macro, fluids to solids. Cambridge: Cambridge University Press (2006; Zbl 1111.37300)
Anosov, D. V.; Zhuzhoma, E. V. Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings. (Нелокальное асимптотическое поведение кривых и слоев ламинаций на универсальных накрывающих.) (Russian) Zbl 1126.37002 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 249. Moskva: Nauka, Maik Nauka/Interperiodika (ISBN 5-02-033712-9). 239 p. (2005). MSC: 37-02 37C85 37E35 30F45 30F50 57R30 53A04 37D10 37D40 37D20 PDFBibTeX XMLCite \textit{D. V. Anosov} and \textit{E. V. Zhuzhoma}, Нелокальное асимптотическое поведение кривых и слоев ламинаций на универсальных накрывающих (Russian). Moskva: Nauka, Maik Nauka/Interperiodika (2005; Zbl 1126.37002)
Anosov, D. V.; Zhuzhoma, E. V. Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings. Transl. from the Russian. (English) Zbl 1121.37001 Proceedings of the Steklov Institute of Mathematics 249. Moscow: Maik Nauka/Interperiodica. 221 p. (2005). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 37-02 37C85 37E35 30F45 30F50 57R30 53A04 37D10 37D40 37D20 PDFBibTeX XMLCite \textit{D. V. Anosov} and \textit{E. V. Zhuzhoma}, Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica (2005; Zbl 1121.37001)
Nekrashevych, V. Self-similar groups. (English) Zbl 1087.20032 Mathematical Surveys and Monographs 117. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3831-8/hbk). xi, 231 p. (2005). Reviewer: Vahagn H. Mikaelian (Yerevan) MSC: 20F65 20E08 20-02 37F20 37F15 37B10 PDFBibTeX XMLCite \textit{V. Nekrashevych}, Self-similar groups. Providence, RI: American Mathematical Society (AMS) (2005; Zbl 1087.20032)
Azhmyakov, Vadim Stable operators in analysis and optimization. (English) Zbl 1057.47002 Bern: Peter Lang (ISBN 3-631-53403-5; 0-8204-7669-2). x, 144 p. (2005). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47-02 37F15 49K40 47N10 PDFBibTeX XMLCite \textit{V. Azhmyakov}, Stable operators in analysis and optimization. Bern: Peter Lang (2005; Zbl 1057.47002)
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. (English) Zbl 1060.37020 Encyclopaedia of Mathematical Sciences 102. Mathematical Physics 3. Berlin: Springer (ISBN 3-540-22066-6/hbk). xviii, 384 p. (2005). Reviewer: Yuri Kifer (Jerusalem) MSC: 37D25 37D35 37C75 37-02 37D20 PDFBibTeX XMLCite \textit{C. Bonatti} et al., Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Berlin: Springer (2005; Zbl 1060.37020) Full Text: DOI
Gallavotti, Giovanni; Bonetto, Federico; Gentile, Guido Aspects of ergodic, qualitative and statistical theory of motion. Enlarged, revised and updated edition of the Italian original 1980. (English) Zbl 1065.37002 Texts and Monographs in Physics. Berlin: Springer (ISBN 3-540-40879-7/hbk). x, 435 p. (2004). Reviewer: Nasir N. Ganikhodjaev (Kuala Lumpur) MSC: 37-02 37A60 37D20 37J40 82-02 82C03 82C05 PDFBibTeX XMLCite \textit{G. Gallavotti} et al., Aspects of ergodic, qualitative and statistical theory of motion. Enlarged, revised and updated edition of the Italian original 1980. Berlin: Springer (2004; Zbl 1065.37002)
Ruelle, David Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. (English) Zbl 1062.82001 Cambridge Mathematical Library. Cambridge: Cambridge University Press. (ISBN 0-521-54649-4/pbk). xx, 174 p. (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 82-01 37-02 37D35 01A75 82B30 82B05 37A60 37C30 37D20 80A10 80A05 PDFBibTeX XMLCite \textit{D. Ruelle}, Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Cambridge: Cambridge University Press. (2004; Zbl 1062.82001) Full Text: DOI
Jiang, Da-Quan; Qian, Min; Qian, Min-Ping Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems. (English) Zbl 1096.82002 Lecture Notes in Mathematics 1833. Berlin: Springer (ISBN 3-540-20611-6/pbk). ix, 280 p. (2004). Reviewer: Guy Jumarie (Montréal) MSC: 82-02 60-02 37-02 37D20 37D25 37D35 37D45 58J65 60F10 60G10 60H10 60J10 60J27 82C03 PDFBibTeX XMLCite \textit{D.-Q. Jiang} et al., Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems. Berlin: Springer (2004; Zbl 1096.82002) Full Text: DOI
Margulis, G. A. On some aspects of the theory of Anosov systems. With a survey by Richard Sharp: Periodic orbits of hyperbolic flows. Transl. from the Russian by S. V. Vladimirovna. (English) Zbl 1140.37010 Springer Monographs in Mathematics. Berlin: Springer (ISBN 3-540-40121-0/hbk). 139 p. (2004). MSC: 37D20 37-02 37C27 37C30 37C40 PDFBibTeX XMLCite \textit{G. A. Margulis}, On some aspects of the theory of Anosov systems. With a survey by Richard Sharp: Periodic orbits of hyperbolic flows. Transl. from the Russian by S. V. Vladimirovna. Berlin: Springer (2004; Zbl 1140.37010)
Alves, José Statistical analysis of non-uniformly expanding dynamical systems. 24th Brazilian mathematics colloquium. (English) Zbl 1061.37019 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 85-244-0212-1/pbk). x, 131 p. (2003). Reviewer: Akihiko Morimoto (Nagoya) MSC: 37C40 37D25 37C75 PDFBibTeX XMLCite \textit{J. Alves}, Statistical analysis of non-uniformly expanding dynamical systems. 24th Brazilian mathematics colloquium. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2003; Zbl 1061.37019)
Lewowicz, Jorge Dynamics of expansive homeomorphisms. (Dinámica de los homeomorfismos expansivos.) (Spanish) Zbl 1245.37006 Monografías del Instituto de Matemática y Ciencias Afines 36. Lima: Instituto de Matemática y Ciencias Afines, IMCA; Lima: Pontificia Universidad Católica del Perú (ISBN 9972-899-29-2). viii, 33 p. (2003). MSC: 37D20 37B05 37B25 37E30 PDFBibTeX XMLCite \textit{J. Lewowicz}, Dinámica de los homeomorfismos expansivos (Spanish). Lima: Instituto de Matemática y Ciencias Afines, IMCA; Lima: Pontificia Universidad Católica del Perú (2003; Zbl 1245.37006)
Chen, Han-Fu Stochastic approximation and its applications. (English) Zbl 1008.62071 Nonconvex Optimization and Its Applications. 64. Dordrecht: Kluwer Academic Publishers. xv, 357 p. EUR 137.00; $ 130.00; £87.00 (2002). Reviewer: B.L.S.Prakasa Rao (New Delhi) MSC: 62L20 62-02 90C15 93B40 94A12 PDFBibTeX XMLCite \textit{H.-F. Chen}, Stochastic approximation and its applications. Dordrecht: Kluwer Academic Publishers (2002; Zbl 1008.62071)
Berteloot, François; Mayer, Volker Rudiments of holomorphic dynamics. (Rudiments de dynamique holomorphe.) (French) Zbl 1051.37019 Cours Spécialisés (Paris) 7. Paris: Société Mathématique de France (ISBN 2-86883-521-X/pbk). 160 p. (2001). Reviewer: Mattias Jonsson (MR 1973050) MSC: 37F10 37F15 37-01 32H50 30D05 39B12 37F50 PDFBibTeX XMLCite \textit{F. Berteloot} and \textit{V. Mayer}, Rudiments de dynamique holomorphe. Paris: Société Mathématique de France (2001; Zbl 1051.37019)
Baladi, Viviane Positive transfer operators and decay of correlations. (English) Zbl 1012.37015 Advanced Series in Nonlinear Dynamics. 16. Singapore: World Scientific. x, 314 p. (2000). MSC: 37C30 37-02 37D20 37A25 47B38 PDFBibTeX XMLCite \textit{V. Baladi}, Positive transfer operators and decay of correlations. Singapore: World Scientific (2000; Zbl 1012.37015)
Viana, Marcelo Lecture notes on attractors and physical measures. A paper from the 12th Escuela Latinoamericana de Matemáticas (XII-ELAM) held in Lima, Peru, June 28–July 3, 1999. (English) Zbl 1160.37336 Monografías del Instituto de Matemática y Ciencias Afines 8. Lima: Instituto de Matemática y Ciencias Afines, IMCA. iv, 101 p. (1999). MSC: 37D20 37C30 PDFBibTeX XMLCite \textit{M. Viana}, Lecture notes on attractors and physical measures. A paper from the 12th Escuela Latinoamericana de Matemáticas (XII-ELAM) held in Lima, Peru, June 28--July 3, 1999. Lima: Instituto de Matemática y Ciencias Afines, IMCA (1999; Zbl 1160.37336)
Verjovsky, Alberto Anosov systems. A paper from the 12th Escuela Latinoamericana de Matemáticas (XII-ELAM) held in Lima, Peru, June 28-July 3, 1999. (Sistemas de Anosov.) (English) Zbl 1160.37335 Monografías del Instituto de Matemática y Ciencias Afines 9. Lima: Instituto de Matemática y Ciencias Afines, IMCA. iv, 65 p. (1999). MSC: 37D20 PDFBibTeX XMLCite \textit{A. Verjovsky}, Sistemas de Anosov. Lima: Instituto de Matemática y Ciencias Afines, IMCA (1999; Zbl 1160.37335)
Ilyashenko, Yu.; Li, Weigu Nonlocal bifurcations. (English) Zbl 1120.37308 Mathematical Surveys and Monographs 66. Providence, RI: American Mathematical Society (ISBN 0-8218-0497-9/hbk). xiii, 286 p. (1999). Reviewer: Todd Ray Young (MR1650842) MSC: 37Gxx 37-02 34C23 34C37 37D20 37D15 37C29 37C25 PDFBibTeX XMLCite \textit{Yu. Ilyashenko} and \textit{W. Li}, Nonlocal bifurcations. Providence, RI: American Mathematical Society (1999; Zbl 1120.37308)
Knauf, Andreas; Sinai, Yakov G. Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. (English) Zbl 0867.58050 DMV Seminar. 27. Basel: Birkhäuser. vi, 98 p. (1997). Reviewer: P.Garbaczewski (Wrocław) MSC: 37A30 37-02 47A40 81Q50 PDFBibTeX XMLCite \textit{A. Knauf} and \textit{Y. G. Sinai}, Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Basel: Birkhäuser (1997; Zbl 0867.58050)
Buescu, Jorge Exotic attractors. From Liapunov stability to riddled basins. (English) Zbl 0954.37002 Progress in Mathematics (Boston, Mass.). 153. Basel: Birkhäuser. xiii, 130 p. (1997). Reviewer: S.Nenov (Sofia) MSC: 37-02 37D45 37D20 37C75 37G35 34Dxx PDFBibTeX XMLCite \textit{J. Buescu}, Exotic attractors. From Liapunov stability to riddled basins. Basel: Birkhäuser (1997; Zbl 0954.37002)
Blank, Michael Discreteness and continuity in problems of chaotic dynamics. Transl. from the author from an original Russian manuscript. (English) Zbl 0881.58047 Translations of Mathematical Monographs. 161. Providence, RI: American Mathematical Society (AMS). xiii, 161 p. (1997). Reviewer: H.Crauel (Berlin) MSC: 37D99 37-02 37D45 28-02 28D05 37A99 37C75 37G99 37J40 PDFBibTeX XMLCite \textit{M. Blank}, Discreteness and continuity in problems of chaotic dynamics. Transl. from the author from an original Russian manuscript. Providence, RI: American Mathematical Society (1997; Zbl 0881.58047)
de Melo, Welington; van Strien, Sebastian One-dimensional dynamics. (English) Zbl 0791.58003 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. 25. Berlin: Springer-Verlag. xiii, 605 p. (1993). Reviewer: G.Swiatek (Stony Brook) MSC: 37-02 37E10 37E05 37E20 37A99 37D20 PDFBibTeX XMLCite \textit{W. de Melo} and \textit{S. van Strien}, One-dimensional dynamics. Berlin: Springer-Verlag (1993; Zbl 0791.58003)
Bothe, Hans Günter Some remarks concerning the fractal dimensions of expanding attractors. (English) Zbl 0702.58039 Rep., Akad. Wiss. DDR, Karl-Weierstrass-Inst. Math. 7, 71 p. (1988). Reviewer: G.Keller MSC: 37C70 37D99 PDFBibTeX XML
Stofer, Daniel Martin Some geometric and numerical methods for perturbed integrable systems. (English) Zbl 0678.58018 Zürich: Swiss Federal Institute of Technology, Thesis. vii, 161 p. (1988). Reviewer: Th.Rassias MSC: 37J35 37K10 PDFBibTeX XML
Pilyugin, S. Yu. Introduction to structurally stable systems of differential equations. (Введение в грубые системы дифференциальных уравнений.) (Russian) Zbl 0698.58032 Leningrad: Leningradskiĭ Gosudarstvennyĭ Universitet. 160 p. R. 0.25 (1988). Reviewer: A. Morimoto (M. R. 90f:58106) MSC: 37C75 37D30 37D15 37D20 37-01 34-01 PDFBibTeX XMLCite \textit{S. Yu. Pilyugin}, Введение в грубые системы дифференциальных уравнений (Russian). Leningrad: Leningradskij Gosudarstvennyj Universitet (1988; Zbl 0698.58032)
Mañé, Ricardo Ergodic theory and differentiable dynamics. Transl. from the Portuguese by Silvio Levy. (English) Zbl 0616.28007 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, Bd. 8. A Series of Modern Surveys in Mathematics. Berlin etc.: Springer-Verlag. XII, 317 p.; DM 148.00 (1987). Reviewer: J.Šiška MSC: 28D05 37A99 37D99 28-02 58-02 28D20 57R50 37C10 PDFBibTeX XML
Ivanov, V. V.; Kachurovskii, A. G. Absolutely continuous invariant measures of locally dilatating mappings. (Absolyutno nepreryvnye invariantnye mery lokal’no rastyagivayushchikh otobrazhenij.) (Russian) Zbl 1040.37001 Akademiya Nauk SSSR, Sibirskoe Otdelenie, Institut Matematiki. Preprint 27. Novosibirsk: Akademiya Nauk SSSR, Sibirskoe Otdelenie. Institut Matematiki. 17 p. (1986). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 37A05 37D20 37C40 PDFBibTeX XMLCite \textit{V. V. Ivanov} and \textit{A. G. Kachurovskii}, Absolyutno nepreryvnye invariantnye mery lokal'no rastyagivayushchikh otobrazhenij (Russian). Novosibirsk: Akademiya Nauk SSSR, Sibirskoe Otdelenie. Institut Matematiki (1986; Zbl 1040.37001)
Mañé, Ricardo Introduction to ergodic theory. (Introdução à teoria ergódica). (Portuguese) Zbl 0581.28010 Projeto Euclides, 14. Rio de Janeiro: Instituto de Matemática Pura e Aplicada. Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). VIII, 389 p. (1983). Reviewer: P.Morales MSC: 28D05 28-02 37D99 28D20 57R50 PDFBibTeX XML
Nusse, Helena Engelina Chaos, yet no chance to get lost. Order and structure in the chaotic dynamical behaviour of one-dimensional noninvertible Axiom A mappings, arising in discrete biological models. (English) Zbl 0521.58040 Fakultät für Naturwissenschaften an der Rijksuniversiteit Utrecht. 260 S. (1983). Reviewer: G. Keller MSC: 37D45 37D20 54H20 92D25 37C15 37G99 PDFBibTeX XML
Bothe, Hans Günter Transversely wild attractors. (English) Zbl 0514.58027 Rep., Akad. Wiss. DDR, Inst. Math. R-MATH-03/83, 56 p. (1983). MSC: 37C70 54H20 PDFBibTeX XML
Bothe, Hans Günter The ambient structure of 1-dimensional hyperbolic attractors in 3- manifolds. (English) Zbl 0482.58018 Rep., Akad. Wiss. DDR, Inst. Math. R-MATH-01/81, 89 p. (1981). MSC: 37C70 37D99 57N10 PDFBibTeX XML
Ruelle, David Thermodynamic formalism. The mathematical structures of classical equilibrium. Statistical mechanics. With a foreword by Giovanni Gallavotti. (English) Zbl 0401.28016 Encyclopedia of Mathematics and its Applications. Vol. 5. Reading, Massachusetts: Addison-Wesley Publishing Company. XIX, 183 p. $ 21.50 (1978). Reviewer: K.-E.Hellwig (Berlin) MSC: 82-01 37D35 37-01 28D20 37D20 37A60 37C10 54H20 82B05 82B20 81T08 PDFBibTeX XML
Bowen, Rufus On Axiom A diffeomorphisms. (English) Zbl 0383.58010 Conference Board of the Mathematical Sciences. Regional Conference Series in Mathematics. No. 35. Providence, R.I.: American Mathematical Society (AMS). VII, 45 p. (1978). Reviewer: R. Devaney MSC: 37D20 37-02 37D35 PDFBibTeX XML
Bowen, Rufus Equilibrium states and the ergodic theory of Anosov diffeomorphisms. (English) Zbl 0308.28010 Lecture Notes in Mathematics. 470. Berlin-Heidelberg-New York: Springer-Verlag. iv, 108 p. DM 18.00 (1975). MSC: 37D35 37-02 37D20 37C30 PDFBibTeX XML