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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

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](1227) +[HTML](242) +[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](298) +[HTML](177) +[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](273) +[HTML](147) +[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](123) +[HTML](71) +[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](138) +[HTML](83) +[PDF](958.64KB)
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](4288) +[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](3942) +[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](3882) +[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](4040) +[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](4287) +[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](3820) +[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](4290) +[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](4493) +[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](3642) +[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](3895) +[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](5398) +[HTML](1388) +[PDF](156.04KB) PDF Downloads(218)
Bill Veech's contributions to dynamical systems
Giovanni Forni, Howard Masur and John Smillie
2019, 14: ⅴ-xxv doi: 10.3934/jmd.2019v +[Abstract](3445) +[HTML](1023) +[PDF](244.49KB) PDF Downloads(197)
Rotation number of contracted rotations
Michel Laurent and Arnaldo Nogueira
2018, 12: 175-191 doi: 10.3934/jmd.2018007 +[Abstract](4134) +[HTML](1193) +[PDF](195.68KB) PDF Downloads(170)
Values of random polynomials at integer points
Jayadev S. Athreya and Gregory A. Margulis
2018, 12: 9-16 doi: 10.3934/jmd.2018002 +[Abstract](4182) +[HTML](1273) +[PDF](142.38KB) PDF Downloads(162)
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](4161) +[HTML](1335) +[PDF](566.44KB) PDF Downloads(152)
Krieger's finite generator theorem for actions of countable groups Ⅱ
Brandon Seward
2019, 15: 1-39 doi: 10.3934/jmd.2019012 +[Abstract](2506) +[HTML](844) +[PDF](347.81KB) PDF Downloads(141)
The degree of Bowen factors and injective codings of diffeomorphisms
Jérôme Buzzi
2020, 16: 1-36 doi: 10.3934/jmd.2020001 +[Abstract](1227) +[HTML](242) +[PDF](378.51KB) PDF Downloads(131)
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](387) +[HTML](143) +[PDF](178.53KB) PDF Downloads(126)
Roy Adler and the lasting impact of his work
Bruce Kitchens, Brian Marcus and Benjamin Weiss
2018, 13: ⅴ-ⅹ doi: 10.3934/jmd.2018v +[Abstract](2797) +[HTML](854) +[PDF](112.68KB) PDF Downloads(119)
Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds
Snir Ben Ovadia
2018, 13: 43-113 doi: 10.3934/jmd.2018013 +[Abstract](2782) +[HTML](817) +[PDF](1137.4KB) PDF Downloads(116)

2018  Impact Factor: 0.295

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