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Congratulations to JMD Editor Alex Eskin on winning the Breakthrough Prize in Mathematics 2020!

The Journal of Modern Dynamics (JMD) is dedicated to publishing research articles in active and promising areas in the theory of dynamical systems with particular emphasis on the mutual interaction between dynamics and other major areas of mathematical research, including:

  • Number theory
  • Symplectic geometry
  • Differential geometry
  • Rigidity
  • Quantum chaos
  • Teichmüller theory
  • Geometric group theory
  • Harmonic analysis on manifolds

Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Krieger's finite generator theorem for actions of countable groups Ⅱ
Brandon Seward
2019, 15: 1-39 doi: 10.3934/jmd.2019012 +[Abstract](1829) +[HTML](606) +[PDF](347.81KB)
Global rigidity of conjugations for locally non-discrete subgroups of $ {\rm {Diff}}^{\omega} (S^1) $
Anas Eskif and Julio C. Rebelo
2019, 15: 41-93 doi: 10.3934/jmd.2019013 +[Abstract](1660) +[HTML](526) +[PDF](432.62KB)
Lattès maps and the interior of the bifurcation locus
Sébastien Biebler
2019, 15: 95-130 doi: 10.3934/jmd.2019014 +[Abstract](1427) +[HTML](354) +[PDF](462.94KB)
The 2017 Michael Brin Prize in Dynamical Systems
The Editors
2019, 15: 131-132 doi: 10.3934/jmd.2019015 +[Abstract](1030) +[HTML](359) +[PDF](1902.58KB)
The work of Lewis Bowen on the entropy theory of non-amenable group actions
Jean-Paul Thouvenot
2019, 15: 133-141 doi: 10.3934/jmd.2019016 +[Abstract](894) +[HTML](308) +[PDF](151.84KB)
Entropy and quasimorphisms
Michael Brandenbursky and Michał Marcinkowski
2019, 15: 143-163 doi: 10.3934/jmd.2019017 +[Abstract](818) +[HTML](253) +[PDF](233.91KB)
Mather theory and symplectic rigidity
Mads R. Bisgaard
2019, 15: 165-207 doi: 10.3934/jmd.2019018 +[Abstract](785) +[HTML](188) +[PDF](395.93KB)
The local-global principle for integral Soddy sphere packings
Alex Kontorovich
2019, 15: 209-236 doi: 10.3934/jmd.2019019 +[Abstract](521) +[HTML](146) +[PDF](3285.77KB)
Counting saddle connections in a homology class modulo $ \boldsymbol q $ (with an appendix by Rodolfo Gutiérrez-Romo)
Michael Magee and Rene Rühr
2019, 15: 237-262 doi: 10.3934/jmd.2019020 +[Abstract](558) +[HTML](141) +[PDF](304.79KB)
Topological proof of Benoist-Quint's orbit closure theorem for $ \boldsymbol{ \operatorname{SO}(d, 1)} $
Minju Lee and Hee Oh
2019, 15: 263-276 doi: 10.3934/jmd.2019021 +[Abstract](198) +[HTML](69) +[PDF](208.84KB)
Smooth Anosov flows: Correlation spectra and stability
Oliver Butterley and Carlangelo Liverani
2007, 1(2) : 301-322 doi: 10.3934/jmd.2007.1.301 +[Abstract](3705) +[PDF](251.1KB) Cited By(52)
Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus
Michael Brin, Dmitri Burago and Sergey Ivanov
2009, 3(1) : 1-11 doi: 10.3934/jmd.2009.3.1 +[Abstract](3491) +[PDF](143.7KB) Cited By(31)
Slow soliton interaction with delta impurities
Justin Holmer and Maciej Zworski
2007, 1(4) : 689-718 doi: 10.3934/jmd.2007.1.689 +[Abstract](3357) +[PDF](530.1KB) Cited By(29)
Fifty years of entropy in dynamics: 1958--2007
Anatole Katok
2007, 1(4) : 545-596 doi: 10.3934/jmd.2007.1.545 +[Abstract](3474) +[PDF](824.1KB) Cited By(25)
Shimura and Teichmüller curves
Martin Möller
2011, 5(1) : 1-32 doi: 10.3934/jmd.2011.5.1 +[Abstract](3708) +[PDF](645.9KB) Cited By(20)
Banach spaces for piecewise cone-hyperbolic maps
Viviane Baladi and Sébastien Gouëzel
2010, 4(1) : 91-137 doi: 10.3934/jmd.2010.4.91 +[Abstract](3410) +[PDF](552.7KB) Cited By(18)
Partially hyperbolic diffeomorphisms of 3-manifolds with Abelian fundamental groups
Dmitri Burago and Sergei Ivanov
2008, 2(4) : 541-580 doi: 10.3934/jmd.2008.2.541 +[Abstract](3715) +[PDF](436.8KB) Cited By(15)
A geometric criterion for the nonuniform hyperbolicity of the Kontsevich--Zorich cocycle
Giovanni Forni
2011, 5(2) : 355-395 doi: 10.3934/jmd.2011.5.355 +[Abstract](3907) +[PDF](435.6KB) Cited By(15)
Spectral invariants in Rabinowitz-Floer homology and global Hamiltonian perturbations
Peter Albers and Urs Frauenfelder
2010, 4(2) : 329-357 doi: 10.3934/jmd.2010.4.329 +[Abstract](3208) +[PDF](292.1KB) Cited By(15)
Schreier graphs of the Basilica group
Daniele D'angeli, Alfredo Donno, Michel Matter and Tatiana Nagnibeda
2010, 4(1) : 167-205 doi: 10.3934/jmd.2010.4.167 +[Abstract](3430) +[PDF](827.3KB) Cited By(15)
A quantitative Oppenheim theorem for generic ternary quadratic forms
Anish Ghosh and Dubi Kelmer
2018, 12: 1-8 doi: 10.3934/jmd.2018001 +[Abstract](4767) +[HTML](1229) +[PDF](156.04KB) PDF Downloads(189)
Values of random polynomials at integer points
Jayadev S. Athreya and Gregory A. Margulis
2018, 12: 9-16 doi: 10.3934/jmd.2018002 +[Abstract](3469) +[HTML](1122) +[PDF](142.38KB) PDF Downloads(139)
Bill Veech's contributions to dynamical systems
Giovanni Forni, Howard Masur and John Smillie
2019, 14: ⅴ-xxv doi: 10.3934/jmd.2019v +[Abstract](2443) +[HTML](725) +[PDF](244.49KB) PDF Downloads(137)
Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions
Krzysztof Frączek, Ronggang Shi and Corinna Ulcigrai
2018, 12: 55-122 doi: 10.3934/jmd.2018004 +[Abstract](3406) +[HTML](1175) +[PDF](566.44KB) PDF Downloads(118)
Krieger's finite generator theorem for actions of countable groups Ⅱ
Brandon Seward
2019, 15: 1-39 doi: 10.3934/jmd.2019012 +[Abstract](1829) +[HTML](606) +[PDF](347.81KB) PDF Downloads(99)
Rotation number of contracted rotations
Michel Laurent and Arnaldo Nogueira
2018, 12: 175-191 doi: 10.3934/jmd.2018007 +[Abstract](3306) +[HTML](1030) +[PDF](195.68KB) PDF Downloads(97)
Joining measures for horocycle flows on abelian covers
Wenyu Pan
2018, 12: 17-54 doi: 10.3934/jmd.2018003 +[Abstract](3224) +[HTML](1211) +[PDF](329.89KB) PDF Downloads(95)
Counting closed geodesics in moduli space
Alex Eskin and Maryam Mirzakhani
2011, 5(1) : 71-105 doi: 10.3934/jmd.2011.5.71 +[Abstract](3070) +[PDF](396.8KB) PDF Downloads(89)
Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds
Snir Ben Ovadia
2018, 13: 43-113 doi: 10.3934/jmd.2018013 +[Abstract](1964) +[HTML](665) +[PDF](1137.4KB) PDF Downloads(88)
Continuity of Lyapunov exponents for cocycles with invariant holonomies
Lucas Backes, Aaron Brown and Clark Butler
2018, 12: 223-260 doi: 10.3934/jmd.2018009 +[Abstract](3110) +[HTML](778) +[PDF](805.18KB) PDF Downloads(84)

2018  Impact Factor: 0.295

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