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Congratulations to JMD Editor Gregory Margulis on winning the 2020 Abel Prize!

Hillel Furstenberg and Gregory Margulis have jointly won the 2020 Abel prize for their pioneering use of methods from probability and dynamics in other mathematical fields such as group theory, number theory and combinatorics.


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

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The degree of Bowen factors and injective codings of diffeomorphisms
Jérôme Buzzi
2020, 16: 1-36 doi: 10.3934/jmd.2020001 +[Abstract](2018) +[HTML](571) +[PDF](378.51KB)
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](831) +[HTML](470) +[PDF](243.53KB)
Realizations of groups of piecewise continuous transformations of the circle
Yves Cornulier
2020, 16: 59-80 doi: 10.3934/jmd.2020003 +[Abstract](768) +[HTML](434) +[PDF](724.42KB)
Counting square-tiled surfaces with prescribed real and imaginary foliations and connections to Mirzakhani's asymptotics for simple closed hyperbolic geodesics
Francisco Arana-Herrera
2020, 16: 81-107 doi: 10.3934/jmd.2020004 +[Abstract](706) +[HTML](390) +[PDF](273.63KB)
Angels' staircases, Sturmian sequences, and trajectories on homothety surfaces
Joshua P. Bowman and Slade Sanderson
2020, 16: 109-153 doi: 10.3934/jmd.2020005 +[Abstract](785) +[HTML](398) +[PDF](958.64KB)
Equilibrium measures for some partially hyperbolic systems
Vaughn Climenhaga, Yakov Pesin and Agnieszka Zelerowicz
2020, 16: 155-205 doi: 10.3934/jmd.2020006 +[Abstract](647) +[HTML](260) +[PDF](500.43KB)
Exponential gaps in the length spectrum
Emmanuel Schenck
2020, 16: 207-223 doi: 10.3934/jmd.2020007 +[Abstract](530) +[HTML](234) +[PDF](236.65KB)
On the non-monotonicity of entropy for a class of real quadratic rational maps
Khashayar Filom and Kevin M. Pilgrim
2020, 16: 225-254 doi: 10.3934/jmd.2020008 +[Abstract](465) +[HTML](224) +[PDF](956.07KB)
Shimura–Teichmüller curves in genus 5
David Aulicino and Chaya Norton
2020, 16: 255-288 doi: 10.3934/jmd.2020009 +[Abstract](347) +[HTML](206) +[PDF](329.27KB)
Pseudo-rotations and Steenrod squares
Egor Shelukhin
2020, 16: 289-304 doi: 10.3934/jmd.2020010 +[Abstract](337) +[HTML](113) +[PDF](210.11KB)
Ergodicity of Bowen–Margulis measure for the Benoist 3-manifolds
Harrison Bray
2020, 16: 305-329 doi: 10.3934/jmd.2020011 +[Abstract](255) +[HTML](118) +[PDF](263.55KB)
Ergodicity and partial hyperbolicity on Seifert manifolds
Andy Hammerlindl, Jana Rodriguez Hertz and Raúl Ures
2020, 0: 331-348 doi: 10.3934/jmd.2020012 +[Abstract](240) +[HTML](91) +[PDF](236.61KB)
The 2019 Michael Brin Prize in Dynamical Systems
The Editors
2020, 16: 349-350 doi: 10.3934/jmd.2020013 +[Abstract](292) +[HTML](89) +[PDF](2517.79KB)
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](193) +[HTML](65) +[PDF](249.0KB)
Three problems solved by Sébastien Gouëzel
François Ledrappier
2020, 16: 373-387 doi: 10.3934/jmd.2020015 +[Abstract](149) +[HTML](85) +[PDF](192.11KB)
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](4930) +[PDF](251.1KB) Cited By(70)
Fifty years of entropy in dynamics: 1958--2007
Anatole Katok
2007, 1(4) : 545-596 doi: 10.3934/jmd.2007.1.545 +[Abstract](4658) +[PDF](824.1KB) Cited By(45)
Slow soliton interaction with delta impurities
Justin Holmer and Maciej Zworski
2007, 1(4) : 689-718 doi: 10.3934/jmd.2007.1.689 +[Abstract](4343) +[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](4427) +[PDF](143.7KB) Cited By(35)
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](4314) +[PDF](552.7KB) Cited By(28)
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](2355) +[PDF](275.5KB) Cited By(26)
Shimura and Teichmüller curves
Martin Möller
2011, 5(1) : 1-32 doi: 10.3934/jmd.2011.5.1 +[Abstract](4920) +[PDF](645.9KB) Cited By(22)
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](2733) +[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](4394) +[PDF](827.3KB) Cited By(19)
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](2361) +[PDF](200.2KB) Cited By(19)
The degree of Bowen factors and injective codings of diffeomorphisms
Jérôme Buzzi
2020, 16: 1-36 doi: 10.3934/jmd.2020001 +[Abstract](2018) +[HTML](571) +[PDF](378.51KB) PDF Downloads(253)
Bill Veech's contributions to dynamical systems
Giovanni Forni, Howard Masur and John Smillie
2019, 14: ⅴ-xxv doi: 10.3934/jmd.2019v +[Abstract](4456) +[HTML](1351) +[PDF](244.49KB) PDF Downloads(247)
A quantitative Oppenheim theorem for generic ternary quadratic forms
Anish Ghosh and Dubi Kelmer
2018, 12: 1-8 doi: 10.3934/jmd.2018001 +[Abstract](6038) +[HTML](1399) +[PDF](156.04KB) PDF Downloads(243)
Rotation number of contracted rotations
Michel Laurent and Arnaldo Nogueira
2018, 12: 175-191 doi: 10.3934/jmd.2018007 +[Abstract](4980) +[HTML](1199) +[PDF](195.68KB) PDF Downloads(196)
Periodic Reeb orbits on prequantization bundles
Peter Albers, Jean Gutt and Doris Hein
2018, 12: 123-150 doi: 10.3934/jmd.2018005 +[Abstract](4488) +[HTML](1143) +[PDF](273.4KB) PDF Downloads(192)
Values of random polynomials at integer points
Jayadev S. Athreya and Gregory A. Margulis
2018, 12: 9-16 doi: 10.3934/jmd.2018002 +[Abstract](4757) +[HTML](1277) +[PDF](142.38KB) PDF Downloads(188)
Krieger's finite generator theorem for actions of countable groups Ⅱ
Brandon Seward
2019, 15: 1-39 doi: 10.3934/jmd.2019012 +[Abstract](3186) +[HTML](1097) +[PDF](347.81KB) PDF Downloads(178)
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](4771) +[HTML](1341) +[PDF](566.44KB) PDF Downloads(176)
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](861) +[HTML](385) +[PDF](178.53KB) PDF Downloads(168)
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](831) +[HTML](470) +[PDF](243.53KB) PDF Downloads(163)

2019  Impact Factor: 0.465

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