## Journal of Modern Dynamics

 Short Title: J. Mod. Dyn. Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1930-5311; 1930-532X/e Online: https://www.aimsciences.org/journal/1930-5311http://aimsciences.org/journal/1930-5311 Comments: Indexed cover-to-cover
 Documents Indexed: 359 Publications (since 2007) References Indexed: 188 Publications with 5,576 References.
all top 5

### Latest Issues

 18 (2022) 17 (2021) 16 (2020) 15 (2019) 14 (2019) 13 (2018) 12 (2018) 11 (2017) 10 (2016) 9 (2015) 8, No. 3-4 (2014) 8, No. 2 (2014) 8, No. 1 (2014) 7, No. 4 (2013) 7, No. 3 (2013) 7, No. 2 (2013) 7, No. 1 (2013) 6, No. 4 (2012) 6, No. 3 (2012) 6, No. 2 (2012) 6, No. 1 (2012) 5, No. 4 (2011) 5, No. 3 (2011) 5, No. 2 (2011) 5, No. 1 (2011) 4, No. 4 (2010) 4, No. 3 (2010) 4, No. 2 (2010) 4, No. 1 (2010) 3, No. 4 (2009) 3, No. 3 (2009) 3, No. 2 (2009) 3, No. 1 (2009) 2, No. 4 (2008) 2, No. 3 (2008) 2, No. 2 (2008) 2, No. 1 (2008) 1, No. 4 (2007) 1, No. 3 (2007) 1, No. 2 (2007) 1, No. 1 (2007)
all top 5

### Authors

 10 Rodriguez-Hertz, Federico 9 Chaika, Jonathan 8 Forni, Giovanni 7 Katok, Anatole 6 Dolgopyat, Dmitry 5 Fayad, Bassam R. 5 Kelmer, Dubi 5 Marmi, Stefano 5 Matheus, Carlos 5 Pesin, Yakov Borisovich 5 Schwartz, Richard Evan 4 Athreya, Jayadev S. 4 Eskin, Alex 4 Hooper, W. Patrick 4 Kalinin, Boris 4 Ledrappier, François 4 Lemańczyk, Mariusz 4 Masur, Howard A. 4 Potrie, Rafael 4 Seward, Brandon 3 Albers, Peter 3 Avila, Artur 3 Bonatti, Christian 3 Flaminio, Livio 3 Frączek, Krzysztof Marek 3 Franks, John M. 3 Gogolev, Andrey 3 Gorodnik, Alexander 3 Hammerlindl, Andy 3 Hubert, Pascal 3 Kra, Bryna 3 Liverani, Carlangelo 3 Margulis, Grigoriĭ Aleksandrovich 3 Paulin, Frédéric 3 Schmidt, Thomas A. 3 Spatzier, Ralf J. 3 Ulcigrai, Corinna 3 Ures, Raúl 3 Weiss, Benjamin 3 Zorich, Anton 2 Bader, Uri 2 Boyle, Mike 2 Brown, Aaron W. 2 Burago, Dmitri 2 Butterley, Oliver 2 Buzzi, Jérôme 2 Calta, Kariane 2 Chavaudret, Claire 2 Cheung, Yitwah 2 Coudene, Yves 2 Crass, Scott 2 Crovisier, Sylvain 2 Cyr, Van 2 Damjanović, Danijela 2 Einsiedler, Manfred Leopold 2 Foulon, Patrick 2 Frauenfelder, Urs Adrian 2 Grigorchuk, Rostislav Ivanovich 2 Guirardel, Vincent 2 Gutiérrez-Romo, Rodolfo 2 Hamenstädt, Ursula 2 Handel, Michael 2 Hasselblatt, Boris 2 Hochman, Michael 2 Horbez, Camille 2 Jakobson, Dmitry 2 Kanigowski, Adam 2 Kassel, Fanny 2 Kerman, Ely 2 Khanevsky, Michael 2 Kleinbock, Dmitry Ya. 2 Knieper, Gerhard 2 Kosloff, Zemer 2 Laurent, Michel 2 Lécureux, Jean 2 Lim, Seonhee 2 Lindenstrauss, Elon 2 Liu, Sixu 2 Marchese, Luca 2 Marklof, Jens 2 Matsumoto, Shigenori 2 Nekrashevych, Volodymyr V. 2 Nogueira, Arnaldo C. R. 2 Pan, Wenyu 2 Payne, Tracy L. 2 Pilgrim, Kevin M. 2 Quas, Anthony 2 Rodriguez Hertz, Jana 2 Rodriguez Hertz, María Alejandra 2 Sadovskaya, Victoria 2 Scheglov, Dmitri 2 Schröder, Jan Philipp 2 Shapira, Uri 2 Smillie, John 2 Soo, Terry 2 Tahzibi, Ali 2 Troubetzkoy, Serge Eugene 2 Vinhage, Kurt 2 Wang, Zhenqi Jenny 2 Weiss, Barak ...and 318 more Authors
all top 5

### Fields

 327 Dynamical systems and ergodic theory (37-XX) 48 Differential geometry (53-XX) 47 Number theory (11-XX) 34 Topological groups, Lie groups (22-XX) 33 Manifolds and cell complexes (57-XX) 32 Group theory and generalizations (20-XX) 30 Functions of a complex variable (30-XX) 30 Several complex variables and analytic spaces (32-XX) 22 Measure and integration (28-XX) 15 Algebraic geometry (14-XX) 14 Probability theory and stochastic processes (60-XX) 9 History and biography (01-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 7 Mechanics of particles and systems (70-XX) 6 General topology (54-XX) 6 Quantum theory (81-XX) 5 Operator theory (47-XX) 4 Abstract harmonic analysis (43-XX) 4 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functional analysis (46-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 2 Systems theory; control (93-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

281 Publications have been cited 2,211 times in 1,592 Documents Cited by Year
Smooth Anosov flows: Correlation spectra and stability. Zbl 1144.37011
Butterley, Oliver; Liverani, Carlangelo
2007
Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus. Zbl 1190.37026
Brin, Michael; Burago, Dmitri; Ivanov, Sergey
2009
Fifty years of entropy in dynamics: 1958 – 2007. Zbl 1149.37001
Katok, Anatole
2007
Dirichlet’s theorem on Diophantine approximation and homogeneous flows. Zbl 1143.11022
Kleinbock, Dmitry; Weiss, Barak
2008
Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards. Zbl 1377.37057
Forni, Giovanni; Matheus, Carlos
2014
Slow solution interaction with delta imperiums. Zbl 1137.35060
Holmer, Justin; Zworski, Maciej
2007
Every flat surface is Birkhoff and Oseledets generic in almost every direction. Zbl 1358.37008
Eskin, Alex; Chaika, Jon
2015
Partial hyperbolicity and foliations in $$\mathbb{T}^3$$. Zbl 1352.37055
Potrie, Rafael
2015
Schreier graphs of the Basilica group. Zbl 1239.20031
D’Angeli, Daniele; Donno, Alfredo; Matter, Michel; Nagnibeda, Tatiana
2010
Shimura and Teichmüller curves. Zbl 1221.14033
Möller, Martin
2011
Counting closed geodesics in moduli space. Zbl 1219.37006
Eskin, Alex; Mirzakhani, Maryam
2011
Partially hyperbolic diffeomorphisms of 3-manifolds with abelian fundamental groups. Zbl 1157.37006
Burago, Dmitri; Ivanov, Sergei
2008
Logarithm laws for unipotent flows. I. Zbl 1184.37007
Athreya, Jayadev S.; Margulis, Gregory A.
2009
Banach spaces for piecewise cone-hyperbolic maps. Zbl 1226.37008
2010
Spectral analysis of the transfer operator for the Lorentz gas. Zbl 1321.37034
Demers, Mark F.; Zhang, Hong-Kun
2011
Rigidity results for quasiperiodic $$\mathrm{SL}(2, \mathbb R)$$-cocycles. Zbl 1191.37007
2009
A concise proof of the multiplicative ergodic theorem on Banach spaces. Zbl 1358.37020
González-Tokman, Cecilia; Quas, Anthony
2015
Hölder foliations, revisited. Zbl 1259.37024
Pugh, Charles; Shub, Michael; Wilkinson, Amie
2012
Equilibrium measures for maps with inducing schemes. Zbl 1159.37007
Pesin, Yakov; Senti, Samuel
2008
Time-changes of horocycle flows. Zbl 1254.37006
Forni, Giovanni; Ulcigrai, Corinna
2012
Partial quasimorphisms and quasistates on cotangent bundles, and symplectic homogenization. Zbl 1258.53091
Monzner, Alexandra; Vichery, Nicolas; Zapolsky, Frol
2012
Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021
Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark
2008
On the singular-hyperbolicity of star flows. Zbl 1351.37141
Shi, Yi; Gan, Shaobo; Wen, Lan
2014
Tori with hyperbolic dynamics in 3-manifolds. Zbl 1221.37056
Rodriguez Hertz, Federico; Rodriguez Hertz, Maria Alejandra; Ures, Raúl
2011
Spectral invariants in Lagrangian Floer theory. Zbl 1153.57021
Leclercq, Rémi
2008
Modified Schmidt games and a conjecture of Margulis. Zbl 1286.11112
Kleinbock, Dmitry; Weiss, Barak
2013
Continuity of Lyapunov exponents for cocycles with invariant holonomies. Zbl 1409.37055
Backes, Lucas; Brown, Aaron; Butler, Clark
2018
Lyapunov spectrum of square-tiled cyclic covers. Zbl 1254.32019
Eskin, Alex; Kontsevich, Maxim; Zorich, Anton
2011
Divergent trajectories in the periodic wind-tree model. Zbl 1291.37048
Delecroix, Vincent
2013
Entropic stability beyond partial hyperbolicity. Zbl 1286.37028
Buzzi, Jérôme; Fisher, Todd
2013
Local rigidity of homogeneous parabolic actions: I. A model case. Zbl 1284.37026
Damjanovic, Danijela; Katok, Anatole
2011
Square-tiled cyclic covers. Zbl 1276.37021
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
2011
A geometric criterion for the nonuniform hyperbolicity of the Kontsevich-Zorich cocycle. Zbl 1238.30031
Forni, Giovanni
2011
Spectral invariants in Rabinowitz-Floer homology and global Hamiltonian perturbations. Zbl 1200.53080
Albers, Peter; Frauenfelder, Urs
2010
Entropies of strictly convex projective manifolds. Zbl 1189.37034
Crampon, Mickaël
2009
On the generic existence of periodic orbits in Hamiltonian dynamics. Zbl 1190.53084
Ginzburg, Viktor L.; Gürel, Başak Z.
2009
Spectral analysis of time changes of horocycle flows. Zbl 1290.37013
Tiedra De Aldecoa, Rafael
2012
Partial hyperbolicity and ergodicity in dimension three. Zbl 1148.37019
Rodriguez Hertz, Federico; Rodriguez Hertz, Maria Alejandra; Ures, Raul
2008
Open problems in dynamics and related fields. Zbl 1118.37002
Gorodnik, Alexander
2007
On the cohomological equation for nilflows. Zbl 1114.37004
Flaminio, Livio; Forni, Giovanni
2007
Rigidity of Julia sets for Hénon type maps. Zbl 1370.37090
Sibony, Nessim; Dinh, Tien-Cuong
2014
Infinite translation surfaces with infinitely generated Veech groups. Zbl 1219.30019
Hubert, Pascal; Schmithüsen, Gabriela
2010
Planetary Birkhoff normal forms. Zbl 1320.70009
Chierchia, Luigi; Pinzari, Gabriella
2011
Weak mixing for logarithmic flows over interval exchange transformations. Zbl 1183.37081
Ulcigrai, Corinna
2009
Discontinuity-growth of interval-exchange maps. Zbl 1183.37077
Novak, Christopher F.
2009
The Ricci flow for nilmanifolds. Zbl 1206.53074
Payne, Tracy L.
2010
The automorphism group of a minimal shift of stretched exponential growth. Zbl 1402.37013
Cyr, Van; Kra, Bryna
2016
Schwarz triangle mappings and Teichmüller curves: abelian square-tiled surfaces. Zbl 1254.32021
Wright, Alex
2012
Global rigidity of certain Abelian actions by toral automorphisms. Zbl 1130.37013
Rodriguez Hertz, Federico
2007
Lectures on dynamics, fractal geometry, and metric number theory. Zbl 1314.28008
Hochman, Michael
2014
Structure of attractors for $$(a,b)$$-continued fraction transformations. Zbl 1214.37031
Katok, Svetlana; Ugarcovici, Ilie
2010
Linear cocycles over hyperbolic systems and criteria of conformality. Zbl 1225.37062
2010
The $$C^{1+\alpha}$$ hypothesis in Pesin theory revisited. Zbl 1312.37018
Bonatti, Christian; Crovisier, Sylvain; Shinohara, Katsutoshi
2013
Dense existence of periodic Reeb orbits and ECH spectral invariants. Zbl 1353.37125
Irie, Kei
2015
Ziggurats and rotation numbers. Zbl 1286.37045
Calegari, Danny; Walker, Alden
2011
Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition. Zbl 1331.37081
Chavaudret, Claire; Marmi, Stefano
2012
Bernoulli equilibrium states for surface diffeomorphisms. Zbl 1276.37025
Sarig, Omri M.
2011
Floer homology in disk bundles and symplectically twisted geodesic flows. Zbl 1186.53099
Usher, Michael
2009
Algebraically periodic translation surfaces. Zbl 1151.57015
Calta, Kariane; Smillie, John
2008
Ergodic infinite group extensions of geodesic flows on translation surfaces. Zbl 1262.37007
Ralston, David; Troubetzkoy, Serge
2012
Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials. Zbl 1149.30033
Zorich, Anton
2008
Krieger’s finite generator theorem for actions of countable groups. II. Zbl 1427.37005
Seward, Brandon
2019
Unbounded orbits for outer billiards. I. Zbl 1130.37021
Schwartz, Richard Evan
2007
On the deviation of ergodic averages for horocycle flows. Zbl 1360.37088
Strömbergsson, Andreas
2013
The first cohomology of parabolic actions for some higher-rank abelian groups and representation theory. Zbl 1119.22009
Mieczkowski, David
2007
The entropy of Lyapunov-optimizing measures of some matrix cocycles. Zbl 1346.15030
Bochi, Jairo; Rams, Michał
2016
The action of the affine diffeomorphisms on the relative homology group of certain exceptionally symmetric origamis. Zbl 1220.37004
Matheus, Carlos; Yoccoz, Jean-Christophe
2010
A note on Reeb dynamics on the tight 3-sphere. Zbl 1181.57035
Bourgeois, Frédéric; Cieliebak, Kai; Ekholm, Tobias
2007
Veech surfaces with nonperiodic directions in the trace field. Zbl 1186.37050
Arnoux, Pierre; Schmidt, Thomas A.
2009
Self-similar groups, operator algebras and Schur complement. Zbl 1133.46029
Grigorchuk, Rostislav; Nekrashevych, Volodymyr
2007
Codimension-1 partially hyperbolic diffeomorphisms with a uniformly compact center foliation. Zbl 1294.37013
Bohnet, Doris
2013
On primes and period growth for Hamiltonian diffeomorphisms. Zbl 1244.53095
Kerman, Ely
2012
Genericity of nonuniform hyperbolicity in dimension 3. Zbl 1254.37028
Rodriguez Hertz, Jana
2012
A quantitative Oppenheim theorem for generic ternary quadratic forms. Zbl 1454.11068
Ghosh, Anish; Kelmer, Dubi
2018
Absence of mixing for smooth flows on genus two surfaces. Zbl 1183.37080
Scheglov, Dmitri
2009
Axiom A diffeomorphisms derived from Anosov flows. Zbl 1201.37033
Bonatti, Christian; Guelman, Nancy
2010
Weierstrass filtration on Teichmüller curves and Lyapunov exponents. Zbl 1273.32019
Yu, Fei; Zuo, Kang
2013
Measure rigidity beyond uniform hyperbolicity: invariant measures for Cartan actions on tori. Zbl 1173.37017
Kalinin, Boris; Katok, Anatole
2007
Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. Zbl 1407.37013
2018
Regularity and convergence rates for the Lyapunov exponents of linear cocycles. Zbl 1321.37023
Schlag, Wilhelm
2013
Ergodic properties of $$k$$-free integers in number fields. Zbl 1385.37037
2013
Topological full groups of minimal subshifts with subgroups of intermediate growth. Zbl 1352.37037
Matte Bon, Nicolás
2015
Smooth conjugacy of anosov diffeomorphisms on higher-dimensional tori. Zbl 1154.37014
Gogolev, Andrey
2008
Pseudo-integrable billiards and arithmetic dynamics. Zbl 1351.37160
2014
Equidistribution for higher-rank abelian actions on Heisenberg nilmanifolds. Zbl 1353.37055
Cosentino, Salvatore; Flaminio, Livio
2015
Partially hyperbolic diffeomorphisms with compact center foliations. Zbl 1254.37029
Gogolev, Andrey
2011
Values of random polynomials at integer points. Zbl 1454.11126
Athreya, Jayadev S.; Margulis, Gregory A.
2018
The Cayley-Oguiso automorphism of positive entropy on a $$K3$$ surface. Zbl 1314.14070
Festi, Dino; Garbagnati, Alice; Van Geemen, Bert; Van Luijk, Ronald
2013
Strata of abelian differentials and the Teichmüller dynamics. Zbl 1273.14054
Chen, Dawei
2013
Irrational stable commutator length in finitely presented groups. Zbl 1151.20027
Zhuang, Dongping
2008
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Prequantum chaos: resonsances of the prequantum cat map. Zbl 1145.81034
Faure, Frédéric
2007
Distortion and the automorphism group of a shift. Zbl 1407.37022
Cyr, Van; Franks, John; Kra, Bryna; Petite, Samuel
2018
Nonstandard smooth realization of translations on the torus. Zbl 1290.37009
Benhenda, Mostapha
2013
Symbolic dynamics for the geodesic flow on Hecke surfaces. Zbl 1161.37031
Mayer, Dieter; Strömberg, Fredrik
2008
Minimal yet measurable foliations. Zbl 1351.37139
Ponce, Gabriel; Tahzibi, Ali; Varão, Régis
2014
Limit theorems for skew translations. Zbl 1351.37149
Griffin, Jory; Marklof, Jens
2014
Boundary unitary representations – irreducibility and rigidity. Zbl 1259.46051
2011
The variance of arithmetic measures associated to closed geodesics on the modular surface. Zbl 1231.11057
Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter
2009
$$C^1$$-generic conservative diffeomorphisms have trivial centralizer. Zbl 1149.37017
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
2008
Eigenvalue gaps for hyperbolic groups and semigroups. Zbl 07564671
Kassel, Fanny; Potrie, Rafael
2022
Multiple Borel-Cantelli Lemma in dynamics and multilog law for recurrence. Zbl 07564672
Dolgopyat, Dmitry; Fayad, Bassam; Liu, Sixu
2022
The orbital equivalence of Bernoulli actions and their Sinai factors. Zbl 1468.37006
Kosloff, Zemer; Soo, Terry
2021
A prime system with many self-joinings. Zbl 1477.37003
Chaika, Jon; Kra, Bryna
2021
Shrinking targets for the geodesic flow on geometrically finite hyperbolic manifolds. Zbl 07552740
Kelmer, Dubi; Oh, Hee
2021
On mixing and sparse ergodic theorems. Zbl 1476.37012
Katz, Asaf
2021
Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series. Zbl 1470.37064
Laurent, Michel; Nogueira, Arnaldo
2021
Local Lyapunov spectrum rigidity of nilmanifold automorphisms. Zbl 1470.37046
DeWitt, Jonathan
2021
Cusp excursion in hyperbolic manifolds and singularity of harmonic measure. Zbl 1468.37031
Randecker, Anja; Tiozzo, Giulio
2021
Equilibrium measures for some partially hyperbolic systems. Zbl 1471.37037
Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka
2020
The degree of Bowen factors and injective codings of diffeomorphisms. Zbl 1440.37051
Buzzi, Jérôme
2020
Counting square-tiled surfaces with prescribed real and imaginary foliations and connections to Mirzakhani’s asymptotics for simple closed hyperbolic geodesics. Zbl 1462.30078
Arana-Herrera, Francisco
2020
Pseudo-rotations and Steenrod squares. Zbl 1466.53094
Shelukhin, Egor
2020
Rigidity of a class of smooth singular flows on $$\mathbb{T}^2$$. Zbl 1440.37052
2020
Realizations of groups of piecewise continuous transformations of the circle. Zbl 1440.37049
Cornulier, Yves
2020
On the non-monotonicity of entropy for a class of real quadratic rational maps. Zbl 1476.37066
Filom, Khashayar; Pilgrim, Kevin M.
2020
Angels’ staircases, Sturmian sequences, and trajectories on homothety surfaces. Zbl 1473.37054
2020
Ergodicity and partial hyperbolicity on Seifert manifolds. Zbl 07500774
Hammerlindl, Andy; Hertz, Jana Rodriguez; Ures, Raúl
2020
Krieger’s finite generator theorem for actions of countable groups. II. Zbl 1427.37005
Seward, Brandon
2019
Entropy and quasimorphisms. Zbl 1443.37021
Brandenbursky, Michael; Marcinkowski, Michał
2019
Möbius disjointness for interval exchange transformations on three intervals. Zbl 1417.37143
Chaika, Jon; Eskin, Alex
2019
Möbius disjointness for topological models of ergodic systems with discrete spectrum. Zbl 1442.37017
Huang, Wen; Wang, Zhiren; Zhang, Guohua
2019
Lattès maps and the interior of the bifurcation locus. Zbl 1433.37050
Biebler, Sébastien
2019
Siegel-Veech transforms are in $$L^2$$. Zbl 1432.32011
Athreya, Jayadev S.; Cheung, Yitwah; Masur, Howard
2019
Dilation surfaces and their Veech groups. Zbl 1416.37036
Duryev, Eduard; Fougeron, Charles; Ghazouani, Selim
2019
The local-global principle for integral Soddy sphere packings. Zbl 1459.11097
Kontorovich, Alex
2019
The Kontsevich-Zorich cocycle over Veech-McMullen family of symmetric translation surfaces. Zbl 1426.37030
Avila, Artur; Matheus, Carlos; Yoccoz, Jean-Christophe
2019
Equidistribution of saddle connections on translation surfaces. Zbl 1416.37035
Dozier, Benjamin
2019
Long hitting time for translation flows and L-shaped billiards. Zbl 1442.37059
Kim, Dong Han; Marchese, Luca; Marmi, Stefano
2019
From odometers to circular systems: a global structure theorem. Zbl 07350263
Foreman, Matthew; Weiss, Benjamin
2019
Counting saddle connections in a homology class modulo $$q$$ (with an appendix by Rodolfo Gutiérrez-Romo). Zbl 1434.32020
Magee, Michael; Rühr, Rene
2019
Topological proof of Benoist-Quint’s orbit closure theorem for $$\mathrm{SO}(d, 1)$$. Zbl 1437.37036
Lee, Minju; Oh, Hee
2019
Global rigidity of conjugations for locally non-discrete subgroups of $${\mathrm{Diff}}^{\omega} (S^1)$$. Zbl 1419.37022
Eskif, Anas; Rebelo, Julio C.
2019
Rigidity of square-tiled interval exchange transformations. Zbl 1422.37028
Ferenczi, Sébastien; Hubert, Pascal
2019
Tropical dynamics of area-preserving maps. Zbl 1426.37065
Filip, Simion
2019
Almost-prime times in horospherical flows on the space of lattices. Zbl 1470.37052
2019
Continuity of Lyapunov exponents for cocycles with invariant holonomies. Zbl 1409.37055
Backes, Lucas; Brown, Aaron; Butler, Clark
2018
A quantitative Oppenheim theorem for generic ternary quadratic forms. Zbl 1454.11068
Ghosh, Anish; Kelmer, Dubi
2018
Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. Zbl 1407.37013
2018
Values of random polynomials at integer points. Zbl 1454.11126
Athreya, Jayadev S.; Margulis, Gregory A.
2018
Distortion and the automorphism group of a shift. Zbl 1407.37022
Cyr, Van; Franks, John; Kra, Bryna; Petite, Samuel
2018
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra. Zbl 1444.11151
Cerqueira, Aline; Matheus, Carlos; Moreira, Carlos Gustavo
2018
Rotation number of contracted rotations. Zbl 1444.11154
Laurent, Michel; Nogueira, Arnaldo
2018
On the non-equivalence of the Bernoulli and $$K$$ properties in dimension four. Zbl 1407.37062
Kanigowski, Adam; Hertz, Federico Rodriguez; Vinhage, Kurt
2018
Seifert manifolds admitting partially hyperbolic diffeomorphisms. Zbl 1408.37057
Hammerlindl, Andy; Potrie, Rafael; Shannon, Mario
2018
Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions. Zbl 1408.37007
Frączek, Krzysztof; Shi, Ronggang; Ulcigrai, Corinna
2018
The mapping class group of a shift of finite type. Zbl 1407.37020
Boyle, Mike; Chuysurichay, Sompong
2018
Periodic Reeb orbits on prequantization bundles. Zbl 1407.53085
Albers, Peter; Gutt, Jean; Hein, Doris
2018
On manifolds admitting stable type $$\mathrm{III}_1$$ Anosov diffeomorphisms. Zbl 1407.37034
Kosloff, Zemer
2018
Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure. Zbl 1477.37006
Melbourne, Ian; Terhesiu, Dalia
2018
On spectra of Koopman, groupoid and quasi-regular representations. Zbl 06991096
Dudko, Artem; Grigorchuk, Rostislav
2017
Distribution of postcritically finite polynomials. II: Speed of convergence. Zbl 1419.37040
Gauthier, Thomas; Vigny, Gabriel
2017
Logarithm laws for unipotent flows. II. Zbl 1402.37003
Athreya, Jayadev S.; Margulis, Gregory A.
2017
Most interval exchanges have no roots. Zbl 1410.37046
Bernazzani, Daniel
2017
Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories. Zbl 1484.53116
Kawasaki, Morimichi; Orita, Ryuma
2017
Differentiable rigidity for quasiperiodic cocycles in compact Lie groups. Zbl 1402.37033
Karaliolios, Nikolaos
2017
Normal forms for non-uniform contractions. Zbl 1403.37035
2017
A disconnected deformation space of rational maps. Zbl 1419.37041
Hironaka, Eriko; Koch, Sarah
2017
Logarithm laws for unipotent flows on hyperbolic manifolds. Zbl 1402.37004
Yu, Shucheng
2017
The gap distribution of directions in some Schottky groups. Zbl 1432.37075
Zhang, Xin
2017
Asymptotic distribution of values of isotropic here quadratic forms at $$S$$-integral points. Zbl 1407.11084
Han, Jiyoung; Lim, Seonhee; Mallahi-Karai, Keivan
2017
On the rate of equidistribution of expanding horospheres in finite-volume quotients of $$\mathrm{SL}(2,\mathbb{C})$$. Zbl 1402.37043
Edwards, Samuel C.
2017
Effective equidistribution of circles in the limit sets of Kleinian groups. Zbl 1404.37001
Pan, Wenyu
2017
Escape of mass in homogeneous dynamics in positive characteristic. Zbl 06991106
Kemarsky, Alexander; Paulin, Frédéric; Shapira, Uri
2017
An effective version of Katok’s horseshoe theorem for conservative $$C^2$$ surface diffeomorphisms. Zbl 1411.37031
2017
Logarithmic laws and unique ergodicity. Zbl 1436.30038
Chaika, Jon; Treviño, Rodrigo
2017
The automorphism group of a minimal shift of stretched exponential growth. Zbl 1402.37013
Cyr, Van; Kra, Bryna
2016
The entropy of Lyapunov-optimizing measures of some matrix cocycles. Zbl 1346.15030
Bochi, Jairo; Rams, Michał
2016
Invariant distributions for homogeneous flows and affine transformations. Zbl 1373.37008
Flaminio, Livio; Forni, Giovanni; Rodriguez Hertz, Federico
2016
Positive topological entropy for Reeb flows on 3-dimensional Anosov contact manifolds. Zbl 1419.37027
Alves, Marcelo R. R.
2016
Mean action and the Calabi invariant. Zbl 1402.37066
Hutchings, Michael
2016
Arithmeticity and topology of smooth actions of higher rank abelian groups. Zbl 1370.37048
Katok, Anatole; Rodriguez Hertz, Federico
2016
Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions. Zbl 1402.37032
Kunde, Philipp
2016
Effective decay of multiple correlations in semidirect product actions. Zbl 1373.37009
Konstantoulas, Ioannis
2016
Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund’s theorem. Zbl 1379.37063
Verjovsky, Alberto; Matsumoto, Shigenori; Martínez, Matilde
2016
Minimality of the Ehrenfest wind-tree model. Zbl 1366.37094
Málaga Sabogal, Alba; Troubetzkoy, Serge
2016
Random $$\mathbb{Z}^d$$-shifts of finite type. Zbl 1369.37023
McGoff, Kevin; Pavlov, Ronnie
2016
Sparse equidistribution of unipotent orbits in finite-volume quotients of $$\mathrm{PSL}(2,\mathbb R)$$. Zbl 1348.22016
Zheng, Cheng
2016
On the work of Rodriguez Hertz on rigidity in dynamics. Zbl 1366.37076
Spatzier, Ralf
2016
Effective equidistribution of translates of maximal horospherical measures in the space of lattices. Zbl 1369.37033
Dabbs, Kathryn; Kelly, Michael; Li, Han
2016
Franks’ lemma for $$C^2$$-Mañé perturbations of Riemannian metrics and applications to persistence. Zbl 1345.93044
Ruggiero, Rafael O.; Rifford, Ludovic; Lazrag, Ayadi
2016
An Urysohn-type theorem under a dynamical constraint. Zbl 1372.37105
Fathi, Albert
2016
On small gaps in the length spectrum. Zbl 1366.37047
Dolgopyat, Dmitry; Jakobson, Dmitry
2016
Boundary unitary representations – right-angled hyperbolic buildings. Zbl 1406.22004
2016
New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant. Zbl 1426.37039
Do, Hieu Trung; Schmidt, Thomas A.
2016
Every flat surface is Birkhoff and Oseledets generic in almost every direction. Zbl 1358.37008
Eskin, Alex; Chaika, Jon
2015
Partial hyperbolicity and foliations in $$\mathbb{T}^3$$. Zbl 1352.37055
Potrie, Rafael
2015
A concise proof of the multiplicative ergodic theorem on Banach spaces. Zbl 1358.37020
González-Tokman, Cecilia; Quas, Anthony
2015
Dense existence of periodic Reeb orbits and ECH spectral invariants. Zbl 1353.37125
Irie, Kei
2015
Topological full groups of minimal subshifts with subgroups of intermediate growth. Zbl 1352.37037
Matte Bon, Nicolás
2015
Equidistribution for higher-rank abelian actions on Heisenberg nilmanifolds. Zbl 1353.37055
Cosentino, Salvatore; Flaminio, Livio
2015
On the existence of periodic orbits for magnetic systems on the two-sphere. Zbl 1333.37093
Benedetti, Gabriele; Zehmisch, Kai
2015
Dynamical cubes and a criteria for systems having product extensions. Zbl 1334.54056
Donoso, Sebastián; Sun, Wenbo
2015
On the intersection of sectional-hyperbolic sets. Zbl 1353.37063
Bautista, Serafin; Morales, Carlos A.
2015
On the rigidity of Weyl chamber flows and Schur multipliers as topological groups. Zbl 1358.37060
Vinhage, Kurt
2015
Spectral killers and Poisson bracket invariants. Zbl 1325.53111
2015
Iterated identities and iterational depth of groups. Zbl 1355.20019
Erschler, Anna
2015
Ergodicity and topological entropy of geodesic flows on surfaces. Zbl 1321.37014
Schröder, Jan Philipp
2015
Complex rotation numbers. Zbl 1321.37040
Goncharuk, Nataliya; Buff, Xavier
2015
There exists an interval exchange with a non-ergodic generic measure. Zbl 1356.37059
Chaika, Jon; Masur, Howard
2015
...and 181 more Documents
all top 5

### Cited by 1,444 Authors

 19 Potrie, Rafael 16 Hammerlindl, Andy 15 Ulcigrai, Corinna 14 Avila, Artur 14 D’angeli, Daniele 14 Kanigowski, Adam 14 Kleinbock, Dmitry Ya. 14 Rodriguez-Hertz, Federico 13 Liverani, Carlangelo 13 Yang, Jiagang 12 Dolgopyat, Dmitry 12 Forni, Giovanni 12 Grigorchuk, Rostislav Ivanovich 11 Climenhaga, Vaughn 11 Einsiedler, Manfred Leopold 11 Ginzburg, Viktor L’vovich 11 Matheus, Carlos 10 Bonatti, Christian 10 Gan, Shaobo 10 Guillarmou, Colin 10 Gürel, Basak Zehra 10 Hubert, Pascal 10 Kalinin, Boris 10 Varandas, Paulo 10 Weiss, Barak 10 Wright, Alex 9 Chaika, Jonathan 9 Damjanović, Danijela 9 Demers, Mark F. 9 Gogolev, Andrey 9 Kunde, Philipp 9 Möller, Martin 9 Nagnibeda, Tatiana V. 9 Pesin, Yakov Borisovich 9 Pinzari, Gabriella 9 Shi, Yi 8 Crovisier, Sylvain 8 Eskin, Alex 8 Fayad, Bassam R. 8 Frączek, Krzysztof Marek 8 Grines, Vyacheslav Zigmundovich 8 Hooper, W. Patrick 8 Lucarini, Valerio 8 Paulin, Frédéric 8 Rodaro, Emanuele 8 Sadovskaya, Victoria 8 Schmidt, Thomas A. 8 Shi, Ronggang 8 Spatzier, Ralf J. 8 Tahzibi, Ali 8 Treviño, Rodrigo 8 Ures, Raúl 8 You, Jiangong 7 Albers, Peter 7 Athreya, Jayadev S. 7 Baladi, Viviane 7 Carrasco, Pablo D. 7 Chen, Dawei 7 Donno, Alfredo 7 Froyland, Gary 7 Katok, Anatole 7 Lemańczyk, Mariusz 7 Luzzatto, Stefano 7 Margulis, Grigoriĭ Aleksandrovich 7 Paternain, Gabriel Pedro 7 Pollicott, Mark 7 Rodriguez Hertz, Jana 7 Soo, Terry 7 Tabachnikov, Serge L. 7 Tanis, James H. 7 Viana, Marcelo 7 Wang, Zhenqi Jenny 7 Wilkinson, Amie 7 Zhang, Dongfeng 7 Zhou, Qi 6 Bessa, Mário 6 Bochi, Jairo 6 Delecroix, Vincent 6 Dragičević, Davor 6 Dyatlov, Semyon 6 Faure, Frédéric 6 Filip, Simion 6 Frauenfelder, Urs Adrian 6 Gelfert, Katrin Grit 6 Ghosh, Anish 6 González-Tokman, Cecilia 6 Lindenstrauss, Elon 6 Marmi, Stefano 6 Mbacke War, Khadim 6 Mohammadi, Amir 6 Pohl, Anke D. 6 Ravotti, Davide 6 Simmons, David 6 Troubetzkoy, Serge Eugene 6 Varão, Régis 6 Weich, Tobias 6 Xu, Junxiang 6 Yang, Dawei 6 Zapolsky, Frol 6 Zhang, Jinhua ...and 1,344 more Authors
all top 5

### Cited in 247 Journals

 152 Ergodic Theory and Dynamical Systems 87 Journal of Modern Dynamics 66 Communications in Mathematical Physics 54 Discrete and Continuous Dynamical Systems 50 Transactions of the American Mathematical Society 49 Israel Journal of Mathematics 45 Inventiones Mathematicae 39 Nonlinearity 38 Mathematische Zeitschrift 36 Geometriae Dedicata 36 Proceedings of the American Mathematical Society 35 Advances in Mathematics 31 Geometric and Functional Analysis. GAFA 24 Geometry & Topology 23 Journal of the European Mathematical Society (JEMS) 22 Journal of Statistical Physics 20 Duke Mathematical Journal 20 Annals of Mathematics. Second Series 19 Annales de l’Institut Fourier 18 Mathematische Annalen 18 Journal of Topology and Analysis 16 Journal d’Analyse Mathématique 16 Journal of the American Mathematical Society 15 Commentarii Mathematici Helvetici 15 Journal of Fixed Point Theory and Applications 13 Groups, Geometry, and Dynamics 12 Journal of Differential Equations 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Dynamical Systems 11 Compositio Mathematica 11 The Journal of Geometric Analysis 11 Bulletin of the American Mathematical Society. New Series 11 Journal of Dynamics and Differential Equations 11 Annales Henri Poincaré 9 Journal of Mathematical Physics 8 Journal of Mathematical Analysis and Applications 8 Memoirs of the American Mathematical Society 8 Arnold Mathematical Journal 7 Publications Mathématiques 7 Journal of Functional Analysis 7 Monatshefte für Mathematik 7 Transactions of the Moscow Mathematical Society 7 Physica D 7 International Journal of Mathematics 7 L’Enseignement Mathématique. 2e Série 7 Experimental Mathematics 7 Regular and Chaotic Dynamics 7 Qualitative Theory of Dynamical Systems 7 Algebraic & Geometric Topology 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Proceedings of the Steklov Institute of Mathematics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Journal of Number Theory 6 Journal für die Reine und Angewandte Mathematik 6 Calculus of Variations and Partial Differential Equations 6 Chaos 6 Acta Mathematica Sinica. English Series 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Science China. Mathematics 5 Colloquium Mathematicum 5 Illinois Journal of Mathematics 5 Journal of Algebra 5 Proceedings of the London Mathematical Society. Third Series 5 Selecta Mathematica. New Series 5 Journal of Difference Equations and Applications 5 Conformal Geometry and Dynamics 5 Journal of Dynamical and Control Systems 5 Communications in Contemporary Mathematics 5 Journal of the Institute of Mathematics of Jussieu 5 Annales Henri Lebesgue 4 Studia Mathematica 4 Journal of the London Mathematical Society. Second Series 4 Journal of Pure and Applied Algebra 4 International Journal of Algebra and Computation 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Discrete and Continuous Dynamical Systems. Series B 4 European Journal of Mathematics 4 Journal de l’École Polytechnique – Mathématiques 3 The Annals of Probability 3 Archiv der Mathematik 3 Manuscripta Mathematica 3 Pacific Journal of Mathematics 3 Topology and its Applications 3 European Journal of Combinatorics 3 Differential Geometry and its Applications 3 SIAM Journal on Mathematical Analysis 3 Indagationes Mathematicae. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Mathematical Sciences (New York) 3 Advances in Geometry 3 Oberwolfach Reports 3 International Journal of Number Theory 3 Discrete and Continuous Dynamical Systems. Series S 3 Analysis & PDE 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Mathematics Research Reports 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society ...and 147 more Journals
all top 5

### Cited in 57 Fields

 1,195 Dynamical systems and ergodic theory (37-XX) 245 Differential geometry (53-XX) 173 Number theory (11-XX) 155 Manifolds and cell complexes (57-XX) 121 Group theory and generalizations (20-XX) 115 Topological groups, Lie groups (22-XX) 108 Several complex variables and analytic spaces (32-XX) 89 Functions of a complex variable (30-XX) 86 Measure and integration (28-XX) 85 Algebraic geometry (14-XX) 73 Global analysis, analysis on manifolds (58-XX) 64 Probability theory and stochastic processes (60-XX) 58 Partial differential equations (35-XX) 49 Mechanics of particles and systems (70-XX) 42 Ordinary differential equations (34-XX) 41 Combinatorics (05-XX) 39 Operator theory (47-XX) 38 Quantum theory (81-XX) 34 Convex and discrete geometry (52-XX) 26 Functional analysis (46-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 General topology (54-XX) 19 Computer science (68-XX) 16 Algebraic topology (55-XX) 15 Geometry (51-XX) 12 Abstract harmonic analysis (43-XX) 10 Difference and functional equations (39-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 6 Nonassociative rings and algebras (17-XX) 6 Integral transforms, operational calculus (44-XX) 6 Fluid mechanics (76-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 5 Statistics (62-XX) 5 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Field theory and polynomials (12-XX) 4 Real functions (26-XX) 4 Potential theory (31-XX) 4 Systems theory; control (93-XX) 3 Numerical analysis (65-XX) 2 $$K$$-theory (19-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Operations research, mathematical programming (90-XX)