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JMD Flyer: showing all essential information of the journal.
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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On mixing and sparse ergodic theorems
Asaf Katz
2021, 17: 1-32 doi: 10.3934/jmd.2021001 +[Abstract](296) +[HTML](130) +[PDF](294.76KB)
Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series
Michel Laurent and Arnaldo Nogueira
2021, 17: 33-63 doi: 10.3934/jmd.2021002 +[Abstract](214) +[HTML](103) +[PDF](369.73KB)
Local Lyapunov spectrum rigidity of nilmanifold automorphisms
Jonathan DeWitt
2021, 17: 65-109 doi: 10.3934/jmd.2021003 +[Abstract](190) +[HTML](84) +[PDF](715.77KB)
Local rigidity of certain actions of solvable groups on the boundaries of rank-one symmetric spaces
Mao Okada
2021, 17: 111-143 doi: 10.3934/jmd.2021004 +[Abstract](159) +[HTML](65) +[PDF](320.14KB)
The orbital equivalence of Bernoulli actions and their Sinai factors
Zemer Kosloff and Terry Soo
2021, 17: 145-182 doi: 10.3934/jmd.2021005 +[Abstract](160) +[HTML](60) +[PDF](330.08KB)
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](5138) +[PDF](251.1KB) Cited By(74)
Fifty years of entropy in dynamics: 1958--2007
Anatole Katok
2007, 1(4) : 545-596 doi: 10.3934/jmd.2007.1.545 +[Abstract](4917) +[PDF](824.1KB) Cited By(53)
Slow soliton interaction with delta impurities
Justin Holmer and Maciej Zworski
2007, 1(4) : 689-718 doi: 10.3934/jmd.2007.1.689 +[Abstract](4501) +[PDF](530.1KB) Cited By(42)
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](4624) +[PDF](143.7KB) Cited By(35)
Dirichlet's theorem on diophantine approximation and homogeneous flows
Dmitry Kleinbock and Barak Weiss
2008, 2(1) : 43-62 doi: 10.3934/jmd.2008.2.43 +[Abstract](2546) +[PDF](275.5KB) Cited By(30)
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](4482) +[PDF](552.7KB) Cited By(28)
Shimura and Teichmüller curves
Martin Möller
2011, 5(1) : 1-32 doi: 10.3934/jmd.2011.5.1 +[Abstract](5135) +[PDF](645.9KB) Cited By(23)
Spectral analysis of the transfer operator for the Lorentz gas
Mark F. Demers and Hong-Kun Zhang
2011, 5(4) : 665-709 doi: 10.3934/jmd.2011.5.665 +[Abstract](2927) +[PDF](468.4KB) Cited By(21)
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](4552) +[PDF](827.3KB) Cited By(20)
Logarithm laws for unipotent flows, I
Jayadev S. Athreya and Gregory A. Margulis
2009, 3(3) : 359-378 doi: 10.3934/jmd.2009.3.359 +[Abstract](2554) +[PDF](200.2KB) Cited By(20)
The degree of Bowen factors and injective codings of diffeomorphisms
Jérôme Buzzi
2020, 16: 1-36 doi: 10.3934/jmd.2020001 +[Abstract](2253) +[HTML](683) +[PDF](378.51KB) PDF Downloads(291)
Bill Veech's contributions to dynamical systems
Giovanni Forni, Howard Masur and John Smillie
2019, 14: ⅴ-xxv doi: 10.3934/jmd.2019v +[Abstract](4785) +[HTML](1493) +[PDF](244.49KB) PDF Downloads(274)
A quantitative Oppenheim theorem for generic ternary quadratic forms
Anish Ghosh and Dubi Kelmer
2018, 12: 1-8 doi: 10.3934/jmd.2018001 +[Abstract](6262) +[HTML](1403) +[PDF](156.04KB) PDF Downloads(247)
Periodic Reeb orbits on prequantization bundles
Peter Albers, Jean Gutt and Doris Hein
2018, 12: 123-150 doi: 10.3934/jmd.2018005 +[Abstract](4684) +[HTML](1145) +[PDF](273.4KB) PDF Downloads(205)
Rotation number of contracted rotations
Michel Laurent and Arnaldo Nogueira
2018, 12: 175-191 doi: 10.3934/jmd.2018007 +[Abstract](5195) +[HTML](1201) +[PDF](195.68KB) PDF Downloads(201)
Krieger's finite generator theorem for actions of countable groups Ⅱ
Brandon Seward
2019, 15: 1-39 doi: 10.3934/jmd.2019012 +[Abstract](3397) +[HTML](1099) +[PDF](347.81KB) PDF Downloads(198)
Rigidity of a class of smooth singular flows on $ \mathbb{T}^2 $
Changguang Dong and Adam Kanigowski
2020, 16: 37-57 doi: 10.3934/jmd.2020002 +[Abstract](974) +[HTML](561) +[PDF](243.53KB) PDF Downloads(195)
Values of random polynomials at integer points
Jayadev S. Athreya and Gregory A. Margulis
2018, 12: 9-16 doi: 10.3934/jmd.2018002 +[Abstract](4940) +[HTML](1286) +[PDF](142.38KB) PDF Downloads(193)
From invariance to self-similarity: The work of Michael Hochman on fractal dimension and its aftermath
Hillel Furstenberg
2019, 15: 437-449 doi: 10.3934/jmd.2019027 +[Abstract](1055) +[HTML](389) +[PDF](178.53KB) PDF Downloads(186)
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](5009) +[HTML](1342) +[PDF](566.44KB) PDF Downloads(179)

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