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Topological entropy on subsets for fixed-point free flows

Discrete and Continuous Dynamical Systems  Volume 37, Issue 12, Pages : 6319 - 6331, 2017

Dou Dou - (email), Meng Fan - (email), Hua Qiu - (email)

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2

The $\varepsilon$-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors

Evolution Equations and Control Theory  Volume 6, Issue 3, Pages : 345 - 356, 2017

María Anguiano - (email), Alain Haraux - (email)

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3

An effective version of Katok's horseshoe theorem for conservative $C^2$ surface diffeomorphisms

Journal of Modern Dynamics  Volume 11, Issue 03, Pages : 425 - 445, 2017

Bassam Fayad - (email), Zhiyuan Zhang - (email)

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4

Dynamical canonical systems and their explicit solutions

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1679 - 1689, 2016

Alexander Sakhnovich - (email)

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5

Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models

Kinetic and Related Models  Volume 10, Issue 3, Pages : 587 - 612, 2016

María J. Cáceres - (email), Ricarda Schneider - (email)

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6

On large deviations for amenable group actions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7191 - 7206, 2016

Dongmei Zheng - (email), Ercai Chen - (email), Jiahong Yang - (email)

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7

Erratum: ``Volume viscosity and internal energy relaxation: Symmetrization and Chapman-Enskog expansion''

Kinetic and Related Models  Volume 9, Issue 4, Pages : 813 - 813, 2016

Vincent Giovangigli - (email), Wen-An Yong - (email)

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8

Stochastic dynamics: Markov chains and random transformations

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 7, Pages : 2337 - 2361, 2016

Felix X.-F. Ye - (email), Yue Wang - (email), Hong Qian - (email)

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9

The entropy of Lyapunov-optimizing measures of some matrix cocycles

Journal of Modern Dynamics  Volume 10, Issue 02, Pages : 255 - 286, 2016

Jairo Bochi - (email), Michal Rams - (email)

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10

A weak approach to the stochastic deformation of classical mechanics

Journal of Geometric Mechanics  Volume 8, Issue 2, Pages : 221 - 233, 2016

Rémi Lassalle - (email), Jean Claude Zambrini - (email)

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11

Arithmeticity and topology of smooth actions of higher rank abelian groups

Journal of Modern Dynamics  Volume 10, Issue 02, Pages : 135 - 172, 2016

Anatole Katok - (email), Federico Rodriguez Hertz - (email)

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12

On entropy, entropy-like quantities, and applications

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 10, Pages : 3301 - 3343, 2015

José M. Amigó - (email), Karsten Keller - (email), Valentina A. Unakafova - (email)

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13

Entropy and actions of sofic groups

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 10, Pages : 3375 - 3383, 2015

Benjamin Weiss - (email)

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14

A note on specification for iterated function systems

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 10, Pages : 3475 - 3485, 2015

Welington Cordeiro - (email), Manfred Denker - (email), Michiko Yuri - (email)

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15

Topological mixing, knot points and bounds of topological entropy

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 10, Pages : 3547 - 3564, 2015

Piotr Oprocha - (email), Paweł Potorski - (email)

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16

On the Markov-Dyck shifts of vertex type

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 403 - 422, 2015

Kengo Matsumoto - (email)

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17

Volume viscosity and internal energy relaxation: Symmetrization and Chapman-Enskog expansion

Kinetic and Related Models  Volume 8, Issue 1, Pages : 79 - 116, 2014

Vincent Giovangigli - (email), Wen-An Yong - (email)

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18

Every action of a nonamenable group is the factor of a small action

Journal of Modern Dynamics  Volume 8, Issue 2, Pages : 251 - 270, 2014

Brandon Seward - (email)

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19

Derivative formula of the potential function for generalized SRB measures of hyperbolic systems of codimension one

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 967 - 983, 2014

Miaohua Jiang - (email)

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20

Bounds on energy and enstrophy for the 3D Navier-Stokes-$\alpha$ and Leray-$\alpha$ models

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 2127 - 2140, 2014

Aseel Farhat - (email), M. S Jolly - (email), Evelyn Lunasin - (email)

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21

Nearest-neighbor entropy estimators with weak metrics

Advances in Mathematics of Communications  Volume 8, Issue 2, Pages : 119 - 127, 2014

Evgeniy Timofeev - (email), Alexei Kaltchenko - (email)

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22

Quasiconformal Anosov flows and quasisymmetric rigidity of Hamenst$\ddot{a}$dt distances

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3471 - 3483, 2014

Yong Fang - (email)

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23

Volume growth and entropy for $C^1$ partially hyperbolic diffeomorphisms

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3789 - 3801, 2014

Radu Saghin - (email)

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24

Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface

Journal of Modern Dynamics  Volume 7, Issue 3, Pages : 369 - 394, 2013

John Franks - (email), Michael Handel - (email)

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25

Lyapunov spectrum for geodesic flows of rank 1 surfaces

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 1841 - 1872, 2013

Keith Burns - (email), Katrin Gelfert - (email)

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26

Growth of quotients of groups acting by isometries on Gromov-hyperbolic spaces

Journal of Modern Dynamics  Volume 7, Issue 2, Pages : 269 - 290, 2013

Stéphane Sabourau - (email)

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27

Dynamics of random selfmaps of surfaces with boundary

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 599 - 611, 2013

Seung Won Kim - (email), P. Christopher Staecker - (email)

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28

Expansion growth, entropy and invariant measures of distal groups and pseudogroups of homeo- and diffeomorphisms

Discrete and Continuous Dynamical Systems  Volume 33, Issue 10, Pages : 4731 - 4742, 2013

Paweł G. Walczak - (email)

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29

Dynamics of spacing shifts

Discrete and Continuous Dynamical Systems  Volume 33, Issue 9, Pages : 4207 - 4232, 2013

John Banks - (email), Thi T. D. Nguyen - (email), Piotr Oprocha - (email), Brett Stanley - (email), Belinda Trotta - (email)

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30

Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates

Kinetic and Related Models  Volume 6, Issue 2, Pages : 219 - 243, 2013

Daniel Balagué - (email), José A. Cañizo - (email), Pierre Gabriel - (email)

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31

Structure of entropies in dissipative multicomponent fluids

Kinetic and Related Models  Volume 6, Issue 2, Pages : 373 - 406, 2013

Vincent Giovangigli - (email), Lionel Matuszewski - (email)

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32

Entropy formulas for dynamical systems with mistakes

Discrete and Continuous Dynamical Systems  Volume 32, Issue 12, Pages : 4391 - 4407, 2012

Jérôme Rousseau - (email), Paulo Varandas - (email), Yun Zhao - (email)

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33

On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 171 - 194, 2012

Jan Prüss - (email), Yoshihiro Shibata - (email), Senjo Shimizu - (email), Gieri Simonett - (email)

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34

H-Theorem for nonlinear regularized 13-moment equations in kinetic gas theory

Kinetic and Related Models  Volume 5, Issue 1, Pages : 185 - 201, 2012

Manuel Torrilhon - (email)

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35

A faithful symbolic extension

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 1051 - 1062, 2011

Jacek Serafin - (email)

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36

Exponential return times in a zero-entropy process

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 1339 - 1361, 2011

Paulina Grzegorek - (email), Michal Kupsa - (email)

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37

The Spherical Harmonics Expansion model coupled to the Poisson equation

Kinetic and Related Models  Volume 4, Issue 4, Pages : 1063 - 1079, 2011

Jan Haskovec - (email), Nader Masmoudi - (email), Christian Schmeiser - (email), Mohamed Lazhar Tayeb - (email)

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38

On smooth conjugacy of expanding maps in higher dimensions

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 687 - 697, 2011

Yong Fang - (email)

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39

New dissipated energy for the unstable thin film equation

Communications on Pure and Applied Analysis  Volume 10, Issue 2, Pages : 613 - 624, 2010

Marina Chugunova - (email), Roman M. Taranets - (email)

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40

Measure and cocycle rigidity for certain nonuniformly hyperbolic actions of higher-rank abelian groups

Journal of Modern Dynamics  Volume 4, Issue 3, Pages : 487 - 515, 2010

Anatole Katok - (email), Federico Rodriguez Hertz - (email)

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41

Dynamics of the Teichmüller flow on compact invariant sets

Journal of Modern Dynamics  Volume 4, Issue 2, Pages : 393 - 418, 2010

Ursula Hamenstädt - (email)

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42

Measures of intermediate entropies for skew product diffeomorphisms

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 1219 - 1231, 2010

Peng Sun - (email)

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43

Entropy and chaos in the Kac model

Kinetic and Related Models  Volume 3, Issue 1, Pages : 85 - 122, 2010

Eric A. Carlen - (email), Maria C. Carvalho - (email), Jonathan Le Roux - (email), Michael Loss - (email), Cédric Villani - (email)

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44

Entropies of strictly convex projective manifolds

Journal of Modern Dynamics  Volume 3, Issue 4, Pages : 511 - 547, 2010

Mickaël Crampon - (email)

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45

Examples of $\mathcal{C}^r$ interval map with large symbolic extension entropy

Discrete and Continuous Dynamical Systems  Volume 26, Issue 3, Pages : 873 - 899, 2009

David Burguet - (email)

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46

Distortion and entropy for automorphisms of free groups

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 347 - 363, 2009

Richard Sharp - (email)

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47

Entropy range problems and actions of locally normal groups

Discrete and Continuous Dynamical Systems  Volume 25, Issue 3, Pages : 981 - 989, 2009

Richard Miles - (email), Michael Björklund - (email)

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48

Thermodynamic invariants of Anosov flows and rigidity

Discrete and Continuous Dynamical Systems  Volume 24, Issue 4, Pages : 1185 - 1204, 2009

Yong Fang - (email)

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49

Persistence of Boltzmann entropy in fluid models

Discrete and Continuous Dynamical Systems  Volume 24, Issue 1, Pages : 95 - 114, 2009

Vincent Giovangigli - (email)

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50

Control entropy: A complexity measure for nonstationary signals

Mathematical Biosciences and Engineering  Volume 6, Issue 1, Pages : 1 - 25, 2008

Erik M. Bollt - (email), Joseph D. Skufca - (email), Stephen J . McGregor - (email)

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51

The convergence of the GRP scheme

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 1 - 27, 2008

Matania Ben–Artzi - (email), Joseph Falcovitz - (email), Jiequan Li - (email)

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52

A variational approach to the Riemann problem for hyperbolic conservation laws

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 185 - 195, 2008

Constantine M. Dafermos - (email)

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53

Entropy formula for endomorphisms: Relations between entropy, exponents and dimension

Discrete and Continuous Dynamical Systems  Volume 21, Issue 2, Pages : 367 - 392, 2008

Min Qian - (email), Jian-Sheng Xie - (email)

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Growth of the number of geodesics between points and insecurity for Riemannian manifolds

Discrete and Continuous Dynamical Systems  Volume 21, Issue 2, Pages : 403 - 413, 2008

Keith Burns - (email), Eugene Gutkin - (email)

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The thermodynamic formalism for sub-additive potentials

Discrete and Continuous Dynamical Systems  Volume 20, Issue 3, Pages : 639 - 657, 2007

Yongluo Cao - (email), De-Jun Feng - (email), Wen Huang - (email)

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56

Symbolic dynamics on free groups

Discrete and Continuous Dynamical Systems  Volume 20, Issue 3, Pages : 725 - 738, 2007

Steven T. Piantadosi - (email)

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57

On measures invariant under diagonalizable actions: the Rank-One case and the general Low-Entropy method

Journal of Modern Dynamics  Volume 2, Issue 1, Pages : 83 - 128, 2007

Manfred Einsiedler - (email), Elon Lindenstrauss - (email)

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58

Energy estimate for the wave equation driven by a fractional Gaussian noise

DCDS Supplements  Volume 2007, Issue Special, Pages : 92 - 101, 2007

Boris P. Belinskiy - (email), Peter Caithamer - (email)

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59

Fifty years of entropy in dynamics: 1958--2007

Journal of Modern Dynamics  Volume 1, Issue 4, Pages : 545 - 596, 2007

Anatole Katok - (email)

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Entropy of polyhedral billiard

Discrete and Continuous Dynamical Systems  Volume 19, Issue 1, Pages : 89 - 102, 2007

Nicolas Bedaride - (email)

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Matching the grade correlation coefficient using a copula with maximum disorder

Journal of Industrial and Management Optimization  Volume 3, Issue 2, Pages : 305 - 312, 2007

Julia Piantadosi - (email), Phil Howlett - (email), John Boland - (email)

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Entropy is the only finitely observable invariant

Journal of Modern Dynamics  Volume 1, Issue 1, Pages : 93 - 105, 2006

Donald Ornstein - (email), Benjamin Weiss - (email)

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Entropy dimensions and a class of constructive examples

Discrete and Continuous Dynamical Systems  Volume 17, Issue 1, Pages : 133 - 141, 2006

Sébastien Ferenczi - (email), Kyewon Koh Park - (email)

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64

Symbolic extension entropy: $c^r$ examples, products and flows

Discrete and Continuous Dynamical Systems  Volume 16, Issue 2, Pages : 329 - 341, 2006

Mike Boyle - (email), Tomasz Downarowicz - (email)

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Entropy via multiplicity

Discrete and Continuous Dynamical Systems  Volume 16, Issue 2, Pages : 395 - 410, 2006

Boris Kruglikov - (email), Martin Rypdal - (email)

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66

Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 5, Pages : 1001 - 1026, 2006

Elena Bonetti - (email), Pierluigi Colli - (email), Mauro Fabrizio - (email), Gianni Gilardi - (email)

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67

Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 5, Pages : 1027 - 1050, 2006

José A. Carrillo - (email), Jean Dolbeault - (email), Ivan Gentil - (email), Ansgar Jüngel - (email)

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68

Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms

Discrete and Continuous Dynamical Systems  Volume 15, Issue 1, Pages : 225 - 236, 2006

Krerley Oliveira - (email), Marcelo Viana - (email)

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69

Minimum 'energy' approximations of invariant measures for nonsingular transformations

Discrete and Continuous Dynamical Systems  Volume 14, Issue 3, Pages : 597 - 615, 2005

Christopher Bose - (email), Rua Murray - (email)

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70

New dissipated energies for the thin fluid film equation

Communications on Pure and Applied Analysis  Volume 4, Issue 3, Pages : 613 - 634, 2005

Richard S. Laugesen - (email)

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71

A multidimensional piston problem for the Euler equations for compressible flow

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 361 - 383, 2005

Shuxing Chen - (email), Gui-Qiang Chen - (email), Zejun Wang - (email), Dehua Wang - (email)

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72

On the double cascades of energy and enstrophy in two dimensional turbulence. Part 1. Theoretical formulation

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 1, Pages : 79 - 102, 2004

Eleftherios Gkioulekas - (email), Ka Kit Tung - (email)

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On the double cascades of energy and enstrophy in two dimensional turbulence. Part 2. Approach to the KLB limit and interpretation of experimental evidence

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 1, Pages : 103 - 124, 2004

Eleftherios Gkioulekas - (email), Ka Kit Tung - (email)

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The Role of Non-Genomic Information in Maintaining Thermodynamic Stability in Living Systems

Mathematical Biosciences and Engineering  Volume 2, Issue 1, Pages : 43 - 51, 2004

Robert A. Gatenby - (email), B. Roy Frieden - (email)

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Dimension of Markov towers for non uniformly expanding one-dimensional systems

Discrete and Continuous Dynamical Systems  Volume 9, Issue 6, Pages : 1447 - 1464, 2003

Fernando J. Sánchez-Salas - (email)

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Using numerical experiments to discover theorems in differential equations

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 4, Pages : 495 - 504, 2003

Joseph D. Fehribach - (email)

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How little is little enough?

Discrete and Continuous Dynamical Systems  Volume 9, Issue 4, Pages : 969 - 978, 2003

Alexander Blokh - (email), Eric Teoh - (email)

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On the differences between 2D and QG turbulence

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 2, Pages : 145 - 162, 2003

Ka Kit Tung - (email), Wendell Welch Orlando - (email)

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79

Orbit complexity and data compression

Discrete and Continuous Dynamical Systems  Volume 7, Issue 3, Pages : 477 - 486, 2001

Stefano Galatolo - (email)

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80

Minimal rates of entropy convergence for rank one systems

Discrete and Continuous Dynamical Systems  Volume 6, Issue 4, Pages : 773 - 796, 2000

Frank Blume - (email)

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81

Symbol sequences and entropy for piecewise monotone transformations with discontinuities

Discrete and Continuous Dynamical Systems  Volume 6, Issue 2, Pages : 299 - 304, 2000

C. Kopf - (email)

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On two noteworthy deformations of negatively curved Riemannian metrics

Discrete and Continuous Dynamical Systems  Volume 5, Issue 3, Pages : 639 - 650, 1999

Gabriel P. Paternain - (email)

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Rigidity properties of \zd-actions on tori and solenoids

Electronic Research Announcements of the AMS  Volume 9, Issue 0, Pages : 99 - 110,

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Ergodic behavior of graph entropy

Electronic Research Announcements of the AMS  Volume 3, Issue 0, Pages : 11 - 16,

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