ISSN:
 1930-5311

eISSN:
 1930-532X

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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

    The journal is published by the American Institute of Mathematical Sciences (AIMS) with the support of the Center for Dynamics and Geometry at the Pennsylvania State University.

    • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
    • Publishes each article online whenever ready; the whole volume is printed in a single book at the end of the year.
    • JMD is SCI-E, covered in Science Citation Index Expanded, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES) ISI Alerting Services, Journal Citation Reports/Science Edition, Math Reviews, MathSciNet, Zentralblatt.
    • Archived in Portico and CLOCKSS.
    • JMD is a publication of the American Institute of Mathematical Sciences. All rights reserved.


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

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A quantitative Oppenheim theorem for generic ternary quadratic forms
Anish Ghosh  and  Dubi Kelmer 
2018, 12: 1-8 doi: 10.3934/jmd.2018001 +[Abstract](1241) +[HTML](55) +[PDF](149.03KB)
Abstract:

We prove a quantitative version of Oppenheim's conjecture for generic ternary indefinite quadratic forms. Our results are inspired by and analogous to recent results for diagonal quadratic forms due to Bourgain [3].

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](1127) +[PDF](251.1KB) Cited By(48)
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](1104) +[PDF](143.7KB) Cited By(29)
Slow soliton interaction with delta impurities
Justin Holmer  and  Maciej Zworski 
2007, 1(4) : 689-718 doi: 10.3934/jmd.2007.1.689 +[Abstract](1098) +[PDF](530.1KB) Cited By(28)
Fifty years of entropy in dynamics: 1958--2007
Anatole Katok 
2007, 1(4) : 545-596 doi: 10.3934/jmd.2007.1.545 +[Abstract](1007) +[PDF](824.1KB) Cited By(24)
Shimura and Teichmüller curves
Martin Möller 
2011, 5(1) : 1-32 doi: 10.3934/jmd.2011.5.1 +[Abstract](1116) +[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](1117) +[PDF](552.7KB) Cited By(17)
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](1170) +[PDF](436.8KB) 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](1104) +[PDF](827.3KB) 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](879) +[PDF](292.1KB) Cited By(14)
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](1119) +[PDF](435.6KB) Cited By(13)
A quantitative Oppenheim theorem for generic ternary quadratic forms
Anish Ghosh  and  Dubi Kelmer 
2018, 12: 1-8 doi: 10.3934/jmd.2018001 +[Abstract](1241) +[HTML](55) +[PDF](149.03KB) PDF Downloads(14)
Approximation of points in the plane by generic lattice orbits
Dubi Kelmer 
2017, 11: 143-153 doi: 10.3934/jmd.2017007 +[Abstract](2302) +[HTML](39) +[PDF](183.1KB) PDF Downloads(6)
Logarithm laws for unipotent flows, Ⅱ
Jayadev S. Athreya  and  Gregory A. Margulis 
2017, 11: 1-16 doi: 10.3934/jmd.2017001 +[Abstract](2409) +[HTML](43) +[PDF](186.6KB) PDF Downloads(6)
Effective equidistribution of circles in the limit sets of Kleinian groups
Wenyu Pan 
2017, 11: 189-217 doi: 10.3934/jmd.2017009 +[Abstract](2285) +[HTML](46) +[PDF](386.4KB) PDF Downloads(6)
The equation of the Kenyon-Smillie (2, 3, 4)-Teichmüller curve
Matteo Costantini  and  André Kappes 
2017, 11: 17-41 doi: 10.3934/jmd.2017002 +[Abstract](1114) +[HTML](33) +[PDF](255.8KB) PDF Downloads(6)
Counting closed geodesics in moduli space
Alex Eskin  and  Maryam Mirzakhani 
2011, 5(1) : 71-105 doi: 10.3934/jmd.2011.5.71 +[Abstract](77) +[PDF](396.8KB) PDF Downloads(6)
Logarithmic laws and unique ergodicity
Jon Chaika  and  Rodrigo Treviño 
2017, 11: 563-588 doi: 10.3934/jmd.2017022 +[Abstract](2255) +[HTML](37) +[PDF](277.58KB) PDF Downloads(5)
An effective version of Katok's horseshoe theorem for conservative C2 surface diffeomorphisms
Bassam Fayad  and  Zhiyuan Zhang 
2017, 11: 425-445 doi: 10.3934/jmd.2017017 +[Abstract](1449) +[HTML](45) +[PDF](264.84KB) PDF Downloads(5)
Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories
Morimichi Kawasaki  and  Ryuma Orita 
2017, 11: 313-339 doi: 10.3934/jmd.2017013 +[Abstract](2301) +[HTML](33) +[PDF](425.1KB) PDF Downloads(5)
Fourier coefficients of $\times p$-invariant measures
Huichi Huang 
2017, 11: 551-562 doi: 10.3934/jmd.2017021 +[Abstract](1086) +[HTML](26) +[PDF](163.67KB) PDF Downloads(5)

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