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All published works (62)

Action Title Date Authors
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Random dynamical systems 2020-12-01 Ludwig Arnold
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Lyapunov's Second Method for Random Dynamical Systems 2001-11-01 Ludwig Arnold Björn Schmalfuß
Cooperative random and stochastic differential equations 2001-01-01 Ludwig Arnold Igor Čhuešhov
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The essential range of a nonabelian cocycle is not a cohomology invariant 2000-12-01 Ludwig Arnold Nguyen Dinh Cong V. I. Oseledets
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Linear cocycles with simple Lyapunov spectrum are dense in $L^\infty$ 1999-12-01 Ludwig Arnold Dinh Cong Nguyen
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Convex-valued random dynamical systems: A variational principle for equilibrium states 1999-01-01 Ludwig Arnold Igor V. Evstigneev V M Gundlach
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Jordan normal form for linear cocycles 1999-01-01 Ludwig Arnold Dinh Cong Nguyen Valery Iustinovich Oseledets
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Stationary and almost periodic solutions of almost periodic affine stochastic differential equations 1998-07-01 Ludwig Arnold Constantin Tudor
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On the integrability condition in the multiplicative ergodic theorem for stochastic differential equations 1998-07-01 Ludwig Arnold Peter Imkeller
Normal forms for stochastic differential equations 1998-05-01 Ludwig Arnold Peter Imkeller
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The Multiplicative Ergodic Theorem in Euclidean Space 1998-01-01 Ludwig Arnold
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Order-preserving random dynamical systems: equilibria, attractors, applications 1998-01-01 Ludwig Arnold Igor Čhuešhov
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The Multiplicative Ergodic Theorem on Bundles and Manifolds 1998-01-01 Ludwig Arnold
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RDS on Homogeneous Spaces of the General Linear Group 1998-01-01 Ludwig Arnold
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Random Dynamical Systems 1998-01-01 Ludwig Arnold
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The MET for Related Linear and Affine RDS 1998-01-01 Ludwig Arnold
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On the simplicity of the Lyapunov spectrum of products of random matrices 1997-10-01 Ludwig Arnold Nguyen Dinh Cong
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The Malliavin Calculus and Related Topics - D. Nualart. 1997-01-01 Ludwig Arnold
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Large noise asymptotics of invariant measures, with applications to lyapunov exponents 1996-10-01 Ludwig Arnold Alex Eizenberg Volker Wihstutzc
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Stratonovich calculus with spatial parameters and anticipative problems in multiplicative ergodic theory 1996-03-01 Ludwig Arnold Peter Imkeller
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Discretization of a Random Dynamical System near a Hyperbolic Point 1996-01-01 Ludwig Arnold Peter E. Kloeden
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Fixed Points and Attractors for Random Dynamical Systems 1996-01-01 Ludwig Arnold Björn Schmalfuß
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Furstenberg-khasminskii formulas for lyapunov exponents via anticipative calculus 1995-08-01 Ludwig Arnold Peter Imkeller
Perfect cocycles through stochastic differential equations 1995-03-01 Ludwig Arnold Michael Scheutzow
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Random dynamical systems 1995-01-01 Ludwig Arnold
Evolutionary Formalism for Products of Positive Random Matrices 1994-08-01 Ludwig Arnold Volker Matthias Gundlach Lloyd Demetrius
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Normal forms for random diffeomorphisms 1992-07-01 Ludwig Arnold Xu Kedai
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Iterated Function Systems and Multiplicative Ergodic Theory 1992-01-01 Ludwig Arnold Hans Crauel
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Stochastic bifurcation: instructive examples in dimension one 1992-01-01 Ludwig Arnold Petra Boxler
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Additive noise turns a hyperbolic fixed point into a stationary solution 1991-01-01 Ludwig Arnold Petra Boxler
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Random dynamical systems 1991-01-01 Ludwig Arnold Hans Crauel
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Lyapunov exponents : proceedings of a conference held in Oberwolfach, May 28-June 2, 1990 1991-01-01 Ludwig Arnold Hans Crauel Jean Pierre Eckmann
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Stabilization by Noise Revisited 1990-01-01 Ludwig Arnold
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Stochastic Differential Equations as Dynamical Systems 1990-01-01 Ludwig Arnold
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A multiplicative ergodic theorem for rotation numbers 1989-01-01 Ludwig Arnold Luiz San Martin
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Introduction to Stochastic Differential Equations - T. C. Gard. 1989-01-01 Ludwig Arnold
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Lyapunov Exponents of Nonlinear Stochastic Systems 1988-01-01 Ludwig Arnold
Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications 1986-06-01 Ludwig Arnold George Papanicolaou Volker Wihstutz
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Lyapunov exponents of linear stochastic systems 1986-01-01 Ludwig Arnold Wolfgang Kliemann Eberhard Oeljeklaus
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Almost sure and moment stability for linear ito equations 1986-01-01 Ludwig Arnold Eberhard Oeljeklaus Étienne Pardoux
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Wide Sense Stationary Solutions of Linear Systems with Additive Noise 1983-05-01 Ludwig Arnold Volker Wihstutz
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Stabilization of Linear Systems by Noise 1983-05-01 Ludwig Arnold Hans Crauel Volker Wihstutz
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Qualitative Theory of Stochastic Systems 1983-01-01 Ludwig Arnold Wolfgang Kliemann
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Stationary solutions of linear systems with additive and multiplicative noise 1982-01-01 Ludwig Arnold V. Wishtutz
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Qualitative theory of stochastic systems and its applications in physics 1981-11-01 Ludwig Arnold
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Deterministic limit of the stochastic model of chemical reactions with diffusion 1980-06-01 Ludwig Arnold M. Theodosopulu
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Deterministic limit of the stochastic model of chemical reactions with diffusion 1980-06-01 Ludwig Arnold M. Theodosopulu
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On the Consistency of the Mathematical Models of Chemical Reactions 1980-01-01 Ludwig Arnold
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White and coloured external noise and transition phenomena in nonlinear systems 1978-12-01 Ludwig Arnold Werner Horsthemke R. Leféver
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Deterministic version of Wigner's semicircle law for the distribution of matrix eigenvalues 1976-01-01 Ludwig Arnold

Commonly Cited References

Action Title Date Authors # of times referenced
Ergodic theory of differentiable dynamical systems 1979-12-01 David Ruelle 12
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Random dynamical systems 2020-12-01 Ludwig Arnold 12
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Almost sure and moment stability for linear ito equations 1986-01-01 Ludwig Arnold Eberhard Oeljeklaus Étienne Pardoux 9
Stochastic Stability of Differential Equations 2011-09-19 R. Z. Khas’minskiĭ 8
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Lyapunov exponents of linear stochastic systems 1986-01-01 Ludwig Arnold Wolfgang Kliemann Eberhard Oeljeklaus 8
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Flows of stochastic dynamical systems: ergodic theory 1985-04-01 Andrew Carverhill 7
Perfect cocycles through stochastic differential equations 1995-03-01 Ludwig Arnold Michael Scheutzow 6
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The structure of a flow in the vicinity of an almost periodic motion 1978-03-01 George R. Sell 5
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Markov measures for random dynamical systems 1991-11-01 Hans Crauel 5
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Products of Random Matrices with Applications to Schrödinger Operators 1985-01-01 Philippe Bougerol Jean Lacroix 5
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Extremal exponents of random dynamical systems do not vanish 1990-07-01 Hans Crauel 5
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Stationary solutions of linear systems with additive and multiplicative noise 1982-01-01 Ludwig Arnold V. Wishtutz 5
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Stochastic bifurcation: instructive examples in dimension one 1992-01-01 Ludwig Arnold Petra Boxler 5
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Random Dynamical Systems 1998-01-01 Ludwig Arnold 5
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A multiplicative ergodic theorem for rotation numbers 1989-01-01 Ludwig Arnold Luiz San Martin 5
Recurrence and Invariant Measures for Degenerate Diffusions 1987-04-01 Wolfgang Kliemann 5
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Stochastic differential equations and stochastic flows of diffeomorphisms 1984-01-01 Hiroshi Kunita 5
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Iterated Function Systems and Multiplicative Ergodic Theory 1992-01-01 Ludwig Arnold Hans Crauel 4
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Lyapunov indices of a product of random matrices 1989-10-31 Ilya Goldsheid G. A. Margulis 4
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Qualitative Theory of Stochastic Systems 1983-01-01 Ludwig Arnold Wolfgang Kliemann 4
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Lyapunov Exponents of Nonlinear Stochastic Systems 1988-01-01 Ludwig Arnold 4
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Ergodic Theory of Random Transformations 1986-01-01 Yuri Kifer 4
Attractors for random dynamical systems 1994-09-01 Hans Crauel Franco Flandoli 4
Noncommuting random products 1963-01-01 Harry Furstenberg 4
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Lyapunov exponents and invariant measures of stochastic systems on manifolds 1986-01-01 Hans Crauel 4
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 1983-01-01 John Guckenheimer Philip Holmes 4
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Stabilization of Linear Systems by Noise 1983-05-01 Ludwig Arnold Hans Crauel Volker Wihstutz 4
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Random dynamical systems 1995-01-01 Ludwig Arnold 4
A classification of the second order degenerate elliptic operators and its probabilistic characterization 1974-01-01 Kanji Ichihara Hiroshi Kunita 4
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Gewöhnliche Differentialgleichungen mit zufälligen Parametern 1972-12-31 H. Bunke 4
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Ergodic Theory of Linear Parameter-Excited Systems 1981-01-01 Volker Wihstutz 4
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The Multiplicative Ergodic Theorem 2013-05-30 Luis Barreira Yakov Pesin 4
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Ergodic Theory and Differentiable Dynamics 1987-01-01 Ricardo Mañé 3
Perturbation Theory for Linear Operators 1995-01-01 Tosio Kato 3
Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications 1986-06-01 Ludwig Arnold George Papanicolaou Volker Wihstutz 3
Produits aléatoires d'opérateurs matrices de transfert 1988-09-01 P. Ferrero B. Schmitt 3
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Geometrical Methods in the Theory of Ordinary Differential Equations 1988-01-01 V. I. Arnold 3
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Stability of dynamical systems 1988-02-01 E. C. Zeeman 3
Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms 1989-05-01 Peter H. Baxendale 3
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Non-Markovian invariant measures are hyperbolic 1993-03-01 Hans Crauel 3
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Bounds for average Lyapunov exponents of gradient stochastic systems 1986-01-01 Michael J. Chappell 3
On the functional central limit theorem and the law of the iterated logarithm for Markov processes 1982-01-01 Ritwik Bhattacharya 3
Frontière de furstenberg, propriétés de contraction et théorèmes de convergence 1985-03-01 Yves Guivarc’h Albert Raugi 3
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Limit theorems for sequences of jump Markov processes approximating ordinary differential processes 1971-06-01 Thomas G. Kurtz 3
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Strong approximation theorems for density dependent Markov chains 1978-02-01 Thomas G. Kurtz 3
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Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times 1982-11-01 Martin T. Barlow Marc Yor 3
Evolutionary Formalism for Products of Positive Random Matrices 1994-08-01 Ludwig Arnold Volker Matthias Gundlach Lloyd Demetrius 3
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Equilibre statistique pour les produits de difféomorphismes aléatoires indépendants 1987-01-01 Y. le Jan 3
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Normal forms for random diffeomorphisms 1992-07-01 Ludwig Arnold Xu Kedai 3
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A spectral theory for linear differential systems 1978-03-01 Robert J. Sacker George R. Sell 3