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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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A new dynamical proof of the Shmerkin–Wu theorem
Tim Austin
2022, 18: 1-11 doi: 10.3934/jmd.2022001 +[Abstract](659) +[HTML](115) +[PDF](162.97KB)
New time-changes of unipotent flows on quotients of Lorentz groups
Siyuan Tang
2022, 18: 13-67 doi: 10.3934/jmd.2022002 +[Abstract](457) +[HTML](105) +[PDF](444.8KB)
Higher bifurcations for polynomial skew products
Matthieu Astorg and Fabrizio Bianchi
2022, 18: 69-99 doi: 10.3934/jmd.2022003 +[Abstract](224) +[HTML](73) +[PDF](337.57KB)
The 2020 Michael Brin Prize in Dynamical Systems
The Editors
2022, 18: 101-102 doi: 10.3934/jmd.2022004 +[Abstract](238) +[HTML](77) +[PDF](4787.88KB)
Ergodicity, mixing, Ratner's properties and disjointness for classical flows: On the research of Corinna Ulcigrai
Mariusz Lemańczyk
2022, 18: 103-130 doi: 10.3934/jmd.2022005 +[Abstract](184) +[HTML](70) +[PDF](290.72KB)
Some arithmetical aspects of renormalization in Teichmüller dynamics: On the occasion of Corinna Ulcigrai winning the Brin Prize
Stefano Marmi
2022, 18: 131-147 doi: 10.3934/jmd.2022006 +[Abstract](153) +[HTML](41) +[PDF](477.38KB)
Hodge and Teichmüller
Jeremy Kahn and Alex Wright
2022, 18: 149-160 doi: 10.3934/jmd.2022007 +[Abstract](118) +[HTML](27) +[PDF](181.27KB)
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](6364) +[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](6425) +[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](5781) +[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](5969) +[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](3811) +[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](5766) +[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](6729) +[PDF](645.9KB) Cited By(25)
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](4329) +[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](5912) +[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](4169) +[PDF](200.2KB) Cited By(20)
Bill Veech's contributions to dynamical systems
Giovanni Forni, Howard Masur and John Smillie
2019, 14: v-xxv doi: 10.3934/jmd.2019v +[Abstract](6775) +[HTML](2060) +[PDF](244.49KB) PDF Downloads(445)
The degree of Bowen factors and injective codings of diffeomorphisms
Jérôme Buzzi
2020, 16: 1-36 doi: 10.3934/jmd.2020001 +[Abstract](3469) +[HTML](688) +[PDF](378.51KB) PDF Downloads(409)
Counting closed geodesics in moduli space
Alex Eskin and Maryam Mirzakhani
2011, 5(1) : 71-105 doi: 10.3934/jmd.2011.5.71 +[Abstract](5900) +[PDF](396.8KB) PDF Downloads(365)
The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces
Dmitry Dolgopyat
2020, 16: 351-371 doi: 10.3934/jmd.2020014 +[Abstract](1493) +[HTML](476) +[PDF](249.0KB) PDF Downloads(356)
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](2339) +[HTML](778) +[PDF](178.53KB) PDF Downloads(342)
On the existence of periodic orbits for magnetic systems on the two-sphere
Gabriele Benedetti and Kai Zehmisch
2015, 9: 141-146 doi: 10.3934/jmd.2015.9.141 +[Abstract](3938) +[PDF](131.7KB) PDF Downloads(332)
Siegel–Veech transforms are in $ \boldsymbol{L^2} $(with an appendix by Jayadev S. Athreya and Rene Rühr)
Jayadev S. Athreya, Yitwah Cheung and Howard Masur
2019, 14: 1-19 doi: 10.3934/jmd.2019001 +[Abstract](2262) +[HTML](541) +[PDF](248.5KB) PDF Downloads(321)
Self-similar groups, operator algebras and Schur complement
Rostislav Grigorchuk and Volodymyr Nekrashevych
2007, 1(3) : 323-370 doi: 10.3934/jmd.2007.1.323 +[Abstract](3443) +[PDF](522.4KB) PDF Downloads(309)
Krieger's finite generator theorem for actions of countable groups Ⅱ
Brandon Seward
2019, 15: 1-39 doi: 10.3934/jmd.2019012 +[Abstract](4751) +[HTML](1104) +[PDF](347.81KB) PDF Downloads(306)
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](2078) +[HTML](566) +[PDF](243.53KB) PDF Downloads(293)

2020 Impact Factor: 0.848
5 Year Impact Factor: 0.815
2020 CiteScore: 0.9

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