Ludwig Arnold

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All published works

Action	Title	Year	Authors
+	Random dynamical systems	2020	Ludwig Arnold
+	Lyapunov's Second Method for Random Dynamical Systems	2001	Ludwig Arnold Björn Schmalfuß
+	None	2001	Ludwig Arnold Igor Čhuešhov
+ PDF Chat	Cooperative random and stochastic differential equations	2001	Ludwig Arnold Igor Čhuešhov
+	The essential range of a nonabelian cocycle is not a cohomology invariant	2000	Ludwig Arnold Nguyen Dinh Cong V. I. Oseledets
+	Linear cocycles with simple Lyapunov spectrum are dense in $L^\infty$	1999	Ludwig Arnold Dinh Cong Nguyen
+	Convex-valued random dynamical systems: A variational principle for equilibrium states	1999	Ludwig Arnold Igor V. Evstigneev V M Gundlach
+	Jordan normal form for linear cocycles	1999	Ludwig Arnold Dinh Cong Nguyen Valery Iustinovich Oseledets
+	Stationary and almost periodic solutions of almost periodic affine stochastic differential equations	1998	Ludwig Arnold Constantin Tudor
+	On the integrability condition in the multiplicative ergodic theorem for stochastic differential equations	1998	Ludwig Arnold Peter Imkeller
+ PDF Chat	Normal forms for stochastic differential equations	1998	Ludwig Arnold Peter Imkeller
+	The Multiplicative Ergodic Theorem in Euclidean Space	1998	Ludwig Arnold
+	Order-preserving random dynamical systems: equilibria, attractors, applications	1998	Ludwig Arnold Igor Čhuešhov
+	The Multiplicative Ergodic Theorem on Bundles and Manifolds	1998	Ludwig Arnold
+	RDS on Homogeneous Spaces of the General Linear Group	1998	Ludwig Arnold
+	Random Dynamical Systems	1998	Ludwig Arnold
+	The MET for Related Linear and Affine RDS	1998	Ludwig Arnold
+	On the simplicity of the Lyapunov spectrum of products of random matrices	1997	Ludwig Arnold Nguyen Dinh Cong
+	The Malliavin Calculus and Related Topics - D. Nualart.	1997	Ludwig Arnold
+	Large noise asymptotics of invariant measures, with applications to lyapunov exponents	1996	Ludwig Arnold Alex Eizenberg Volker Wihstutzc
+	Stratonovich calculus with spatial parameters and anticipative problems in multiplicative ergodic theory	1996	Ludwig Arnold Peter Imkeller
+	Discretization of a Random Dynamical System near a Hyperbolic Point	1996	Ludwig Arnold Peter E. Kloeden
+	Fixed Points and Attractors for Random Dynamical Systems	1996	Ludwig Arnold Björn Schmalfuß
+	Furstenberg-khasminskii formulas for lyapunov exponents via anticipative calculus	1995	Ludwig Arnold Peter Imkeller
+ PDF Chat	Perfect cocycles through stochastic differential equations	1995	Ludwig Arnold Michael Scheutzow
+	Random dynamical systems	1995	Ludwig Arnold
+ PDF Chat	Evolutionary Formalism for Products of Positive Random Matrices	1994	Ludwig Arnold Volker Matthias Gundlach Lloyd Demetrius
+	Normal forms for random diffeomorphisms	1992	Ludwig Arnold Xu Kedai
+	Iterated Function Systems and Multiplicative Ergodic Theory	1992	Ludwig Arnold Hans Crauel
+	Stochastic bifurcation: instructive examples in dimension one	1992	Ludwig Arnold Petra Boxler
+	LYAPUNOV FUNCTIONS AND ALMOST SURE EXPONENTIAL STABILITY	1991	Ludwig Arnold Hans Crauel JP Eckmann
+	Additive noise turns a hyperbolic fixed point into a stationary solution	1991	Ludwig Arnold Petra Boxler
+	Random dynamical systems	1991	Ludwig Arnold Hans Crauel
+	Lyapunov exponents : proceedings of a conference held in Oberwolfach, May 28-June 2, 1990	1991	Ludwig Arnold Hans Crauel Jean Pierre Eckmann
+	Stabilization by Noise Revisited	1990	Ludwig Arnold
+	Stochastic Differential Equations as Dynamical Systems	1990	Ludwig Arnold
+	A multiplicative ergodic theorem for rotation numbers	1989	Ludwig Arnold Luiz San Martin
+	Introduction to Stochastic Differential Equations - T. C. Gard.	1989	Ludwig Arnold
+	Towards a Theory of Nonlinear Stochastic Systems	1989	Ludwig Arnold
+	Lyapunov Exponents of Nonlinear Stochastic Systems	1988	Ludwig Arnold
+ PDF Chat	Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications	1986	Ludwig Arnold George Papanicolaou Volker Wihstutz
+	Lyapunov exponents of linear stochastic systems	1986	Ludwig Arnold Wolfgang Kliemann Eberhard Oeljeklaus
+	Almost sure and moment stability for linear ito equations	1986	Ludwig Arnold Eberhard Oeljeklaus Étienne Pardoux
+	Wide Sense Stationary Solutions of Linear Systems with Additive Noise	1983	Ludwig Arnold Volker Wihstutz
+	Stabilization of Linear Systems by Noise	1983	Ludwig Arnold Hans Crauel Volker Wihstutz
+	Qualitative Theory of Stochastic Systems	1983	Ludwig Arnold Wolfgang Kliemann
+	Stationary solutions of linear systems with additive and multiplicative noise	1982	Ludwig Arnold V. Wishtutz
+	Qualitative theory of stochastic systems and its applications in physics	1981	Ludwig Arnold
+	Deterministic limit of the stochastic model of chemical reactions with diffusion	1980	Ludwig Arnold M. Theodosopulu
+	Deterministic limit of the stochastic model of chemical reactions with diffusion	1980	Ludwig Arnold M. Theodosopulu
+	On the Consistency of the Mathematical Models of Chemical Reactions	1980	Ludwig Arnold
+	White and coloured external noise and transition phenomena in nonlinear systems	1978	Ludwig Arnold Werner Horsthemke R. Leféver
+	Deterministic version of Wigner's semicircle law for the distribution of matrix eigenvalues	1976	Ludwig Arnold
+	Stochastic Differential Equations: Theory and Applications.	1976	P. Whittle Ludwig Arnold
+ PDF Chat	The log log law for multidimensional stochastic integrals and diffusion processes	1971	Ludwig Arnold
+	On statistical models for heavy nuclei	1971	Ludwig Arnold R. Schaßberger
+ PDF Chat	On Wigner's semicircle law for the eigenvalues of random matrices	1971	Ludwig Arnold
+ PDF Chat	Complex-valued stable measures and their domains of attraction	1969	Ludwig Arnold Johannes Michaliček
+ PDF Chat	Complex-Valued Stable Measures and their Domains of Attraction	1969	Ludwig Arnold Johannes Michaliček
+	On the asymptotic distribution of the eigenvalues of random matrices	1967	Ludwig Arnold
+	Convergence in probability of random power series and a related problem in linear topological spaces	1967	Ludwig Arnold
+	Über die Konvergenz einer zufälligen Potenzreihe.	1966	Ludwig Arnold
+ PDF Chat	Wachstumseigenschaften zuf�lliger ganzer Funktionen	1966	Ludwig Arnold
+	�ber die Nullstellenverteilung zuf�lliger Polynome	1966	Ludwig Arnold
+	Über die Nullstellenverteilung zufälliger Polynome	1965	Ludwig Arnold

Common Coauthors

Coauthor	Papers Together
Hans Crauel	5
Peter Imkeller	4
Igor Čhuešhov	3
Volker Wihstutz	3
Björn Schmalfuß	2
Petra Boxler	2
Eberhard Oeljeklaus	2
M. Theodosopulu	2
Nguyen Dinh Cong	2
Wolfgang Kliemann	2
Johannes Michaliček	2
Dinh Cong Nguyen	2
Volker Wihstutzc	1
Valery Iustinovich Oseledets	1
V M Gundlach	1
Luiz San Martin	1
V. I. Oseledets	1
P. Whittle	1
R. Leféver	1
Étienne Pardoux	1
R. Schaßberger	1
Jean Pierre Eckmann	1
JP Eckmann	1
Michael Scheutzow	1
Xu Kedai	1
George Papanicolaou	1
Constantin Tudor	1
Volker Matthias Gundlach	1
Lloyd Demetrius	1
Peter E. Kloeden	1
Alex Eizenberg	1
V. Wishtutz	1
Igor V. Evstigneev	1
Werner Horsthemke	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems.	1968	V. I. Oseledec	17
+	Random dynamical systems	2020	Ludwig Arnold	13
+ PDF Chat	Ergodic theory of differentiable dynamical systems	1979	David Ruelle	12
+	Almost sure and moment stability for linear ito equations	1986	Ludwig Arnold Eberhard Oeljeklaus Étienne Pardoux	9
+ PDF Chat	Stochastic Stability of Differential Equations	2011	R. Z. Khas’minskiĭ	8
+	Lyapunov exponents of linear stochastic systems	1986	Ludwig Arnold Wolfgang Kliemann Eberhard Oeljeklaus	8
+	Flows of stochastic dynamical systems: ergodic theory	1985	Andrew Carverhill	8
+	A multiplicative ergodic theorem for rotation numbers	1989	Ludwig Arnold Luiz San Martin	6
+ PDF Chat	Perfect cocycles through stochastic differential equations	1995	Ludwig Arnold Michael Scheutzow	6
+	Stochastic Differential Equations on Manifolds	1982	K. D. Elworthy	5
+	Stochastic bifurcation: instructive examples in dimension one	1992	Ludwig Arnold Petra Boxler	5
+	Lyapunov exponents and invariant measures of stochastic systems on manifolds	1986	Hans Crauel	5
+	Extremal exponents of random dynamical systems do not vanish	1990	Hans Crauel	5
+	Products of Random Matrices with Applications to Schrödinger Operators	1985	Philippe Bougerol Jean Lacroix	5
+ PDF Chat	Recurrence and Invariant Measures for Degenerate Diffusions	1987	Wolfgang Kliemann	5
+ PDF Chat	Attractors for random dynamical systems	1994	Hans Crauel Franco Flandoli	5
+	Random Dynamical Systems	1998	Ludwig Arnold	5
+	The structure of a flow in the vicinity of an almost periodic motion	1978	George R. Sell	5
+	Markov measures for random dynamical systems	1991	Hans Crauel	5
+	Stochastic differential equations and stochastic flows of diffeomorphisms	1984	Hiroshi Kunita	5
+	Stationary solutions of linear systems with additive and multiplicative noise	1982	Ludwig Arnold V. Wishtutz	5
+	Lyapunov Exponents of Nonlinear Stochastic Systems	1988	Ludwig Arnold	5
+	Stabilization of Linear Systems by Noise	1983	Ludwig Arnold Hans Crauel Volker Wihstutz	4
+ PDF Chat	Noncommuting random products	1963	Harry Furstenberg	4
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	4
+	Lyapunov indices of a product of random matrices	1989	Ilya Goldsheid G. A. Margulis	4
+ PDF Chat	A classification of the second order degenerate elliptic operators and its probabilistic characterization	1974	Kanji Ichihara Hiroshi Kunita	4
+	Ergodic Theory of Random Transformations	1986	Yuri Kifer	4
+	Qualitative Theory of Stochastic Systems	1983	Ludwig Arnold Wolfgang Kliemann	4
+	Iterated Function Systems and Multiplicative Ergodic Theory	1992	Ludwig Arnold Hans Crauel	4
+	Random dynamical systems	1995	Ludwig Arnold	4
+	Ergodic Theory of Linear Parameter-Excited Systems	1981	Volker Wihstutz	4
+	Gewöhnliche Differentialgleichungen mit zufälligen Parametern	1972	H. Bunke	4
+	The Multiplicative Ergodic Theorem	2013	Luis Barreira Yakov Pesin	4
+	Ergodic Theory	1982	I. P. Cornfeld Ya. G. Sinaĭ Sergey Fomin	4
+ PDF Chat	Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms	1989	Peter H. Baxendale	4
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+	Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times	1982	Martin T. Barlow Marc Yor	3
+	Existence and comparison theorems for nonlinear diffusion systems	1977	Hendrik J. Kuiper	3
+	Stability of dynamical systems	1988	E. C. Zeeman	3
+	Normal forms for random diffeomorphisms	1992	Ludwig Arnold Xu Kedai	3
+ PDF Chat	On the functional central limit theorem and the law of the iterated logarithm for Markov processes	1982	Ritwik Bhattacharya	3
+	Geometrical Methods in the Theory of Ordinary Differential Equations	1988	V. I. Arnold	3
+	Limit theorems for sequences of jump Markov processes approximating ordinary differential processes	1971	Thomas G. Kurtz	3
+	Equilibre statistique pour les produits de difféomorphismes aléatoires indépendants	1987	Y. le Jan	3
+ PDF Chat	Evolutionary Formalism for Products of Positive Random Matrices	1994	Ludwig Arnold Volker Matthias Gundlach Lloyd Demetrius	3
+ PDF Chat	Furstenberg's theorem for nonlinear stochastic systems	1987	Andrew Carverhill	3
+	A spectral theory for linear differential systems	1978	Robert J. Sacker George R. Sell	3
+	Asymptotic behaviour of stochastic flows of diffeomorphisms	1986	Peter H. Baxendale	3
+	STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS	1976	David Williams	3