Arnold, L. (Ludwig) 1937
Overview
Works:  143 works in 459 publications in 5 languages and 4,626 library holdings 

Genres:  Conference papers and proceedings Handbooks and manuals Academic theses 
Roles:  Author, Editor, Translator, Contributor, htt, Collector, Other, Creator 
Classifications:  QA274.23, 519.2 
Publication Timeline
.
Most widely held works about
L Arnold
Most widely held works by
L Arnold
Stochastic differential equations: theory and applications by
L Arnold(
Book
)
45 editions published between 1971 and 2013 in English and German and held by 761 WorldCat member libraries worldwide
Fundamentals of probability theory; Markov processes and diffusion processes; Wiener process and white noise; Stochastic integrals; The stochastic integral as a stochastic process, stochastic differentials; Stochastic differential equations, existence and uniqueness of solutions; Properties of the solutions of stochastic differential equations; Linear stochastic differentials equations; The solutions of stochastic differentail equations as Markov and diffusion processes; Questions of modeling and approximation; Stability of stochastic dynamic systems; Optimal filtering of a disturbed signal; Optimal control of stochastic dynamic systems
45 editions published between 1971 and 2013 in English and German and held by 761 WorldCat member libraries worldwide
Fundamentals of probability theory; Markov processes and diffusion processes; Wiener process and white noise; Stochastic integrals; The stochastic integral as a stochastic process, stochastic differentials; Stochastic differential equations, existence and uniqueness of solutions; Properties of the solutions of stochastic differential equations; Linear stochastic differentials equations; The solutions of stochastic differentail equations as Markov and diffusion processes; Questions of modeling and approximation; Stability of stochastic dynamic systems; Optimal filtering of a disturbed signal; Optimal control of stochastic dynamic systems
Lyapunov exponents : proceedings of a workshop held in Bremen, November 1215, 1984 by
L Arnold(
Book
)
24 editions published between 1986 and 2006 in 3 languages and held by 605 WorldCat member libraries worldwide
24 editions published between 1986 and 2006 in 3 languages and held by 605 WorldCat member libraries worldwide
Lyapunov exponents : proceedings of a conference held in Oberwolfach, May 28June 2, 1990 by
L Arnold(
Book
)
35 editions published between 1986 and 2008 in 4 languages and held by 567 WorldCat member libraries worldwide
Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications of Lyapunov exponents  one of the key concepts of dynamical systems  and in particular, pronounced shifts towards nonlinear and infinitedimensional systems and engineering applications are observable. This volume opens with an introductory survey article (Arnold/Crauel) followed by 26 original (fully refereed) research papers, some of which have in part survey character. From the Contents: L. Arnold, H. Crauel: Random Dynamical Systems. I. Ya. Goldscheid: Lyapunov exponents and asymptotic behaviour of the product of random matrices. Y. Peres: Analytic dependence of Lyapunov exponents on transition probabilities. O. Knill: The upper Lyapunov exponent of Sl (2, R) cocycles:Discontinuity and the problem of positivity. Yu. D. Latushkin, A.M. Stepin: Linear skewproduct flows and semigroups of weighted composition operators. P. Baxendale: Invariant measures for nonlinear stochastic differential equations. Y. Kifer: Large deviationsfor random expanding maps. P. Thieullen: Generalisation du theoreme de Pesin pour l' entropie. S.T. Ariaratnam, W.C. Xie: Lyapunov exponents in stochastic structural mechanics. F. Colonius, W. Kliemann: Lyapunov exponents of control flows
35 editions published between 1986 and 2008 in 4 languages and held by 567 WorldCat member libraries worldwide
Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications of Lyapunov exponents  one of the key concepts of dynamical systems  and in particular, pronounced shifts towards nonlinear and infinitedimensional systems and engineering applications are observable. This volume opens with an introductory survey article (Arnold/Crauel) followed by 26 original (fully refereed) research papers, some of which have in part survey character. From the Contents: L. Arnold, H. Crauel: Random Dynamical Systems. I. Ya. Goldscheid: Lyapunov exponents and asymptotic behaviour of the product of random matrices. Y. Peres: Analytic dependence of Lyapunov exponents on transition probabilities. O. Knill: The upper Lyapunov exponent of Sl (2, R) cocycles:Discontinuity and the problem of positivity. Yu. D. Latushkin, A.M. Stepin: Linear skewproduct flows and semigroups of weighted composition operators. P. Baxendale: Invariant measures for nonlinear stochastic differential equations. Y. Kifer: Large deviationsfor random expanding maps. P. Thieullen: Generalisation du theoreme de Pesin pour l' entropie. S.T. Ariaratnam, W.C. Xie: Lyapunov exponents in stochastic structural mechanics. F. Colonius, W. Kliemann: Lyapunov exponents of control flows
Random dynamical systems by
L Arnold(
Book
)
29 editions published between 1994 and 2011 in 3 languages and held by 537 WorldCat member libraries worldwide
This monograph is a systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochastic differential equations
29 editions published between 1994 and 2011 in 3 languages and held by 537 WorldCat member libraries worldwide
This monograph is a systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochastic differential equations
Dynamical systems : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini
Terme, Italy, June 1322, 1994 by
L Arnold(
Book
)
27 editions published between 1995 and 2006 in 3 languages and held by 529 WorldCat member libraries worldwide
Annotation
27 editions published between 1995 and 2006 in 3 languages and held by 529 WorldCat member libraries worldwide
Annotation
Stochastic nonlinear systems in physics, chemistry, and biology : proceedings of the workshop, Bielefeld, Fed. Rep. of Germany,
October 511, 1980 by
L Arnold(
Book
)
28 editions published between 1980 and 1985 in English and German and held by 373 WorldCat member libraries worldwide
This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 511, 1980. The workshop brought some 25 physicists, chemists, and biologists  who deal with stochastic phenomena  and about an equal number of mathematicians  who are experts in the theory of stochastic processes  together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and spacetime processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure)
28 editions published between 1980 and 1985 in English and German and held by 373 WorldCat member libraries worldwide
This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 511, 1980. The workshop brought some 25 physicists, chemists, and biologists  who deal with stochastic phenomena  and about an equal number of mathematicians  who are experts in the theory of stochastic processes  together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and spacetime processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure)
Stochastic spacetime models and limit theorems by
L Arnold(
Book
)
17 editions published in 1985 in English and held by 321 WorldCat member libraries worldwide
Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final question. G.K. Chesterton. The Scandal 'The Hermit Clad 1n Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialisation and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches wich were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (nontrivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and largescale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics
17 editions published in 1985 in English and held by 321 WorldCat member libraries worldwide
Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final question. G.K. Chesterton. The Scandal 'The Hermit Clad 1n Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialisation and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches wich were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (nontrivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and largescale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics
Chinese carpets and rugs by
Adolf Hackmack(
Book
)
12 editions published between 1924 and 2013 in English and German and held by 144 WorldCat member libraries worldwide
"Since Roman times, Oriental rugs have been trasured possessions of all who appreciate beauty and luxury. But until the late 18th century, the magnificent rugs of China were almost unknown to collectors and connoisseurs in the West. Because of their relative scarcity, antique specimens now command fantastic prices, but it is still possible with some knowledge of the subject, to find quality, semiantique specimens at reasonable prices. This book provides the criteria for identifying and understanding the most important aspects of Chinese rug collecting. The author, Adolf Hackmack, was a respected dealer in Chinese rugs at Tientsin. Before political conditions made research impossible in China, he was able to collect a vast amount of data available nowhere else. He covers what is known of the origins of rug making in China, with comments on the notable run producing centers such as Manchuria, Kansu, Tibet, Shantung, Chihli, and Chinese Turkestan. He explains Chinese weaving techniques, knots, dyes, patterns, and devotes considerable attention to explaining the symbology of Chinese rug design. You will become familiar with the meaning of such symbols as the phoenix, clouds, water, peach blossoms, flower vases, fans, chess boards, scrolls, fruits. Taoist motifs, emblems of honor, happiness, longevity, scholarship and love. No other writer on this subject had access to such a variety of sources, not only in superb private collections, but even in the vast collections at the Imperial Palace in Peking, and the temple treasury at Nara, Japan, which houses Chinese antiques from the T'ang Dynasty (618907 A.D.)Publisher's description, back cover
12 editions published between 1924 and 2013 in English and German and held by 144 WorldCat member libraries worldwide
"Since Roman times, Oriental rugs have been trasured possessions of all who appreciate beauty and luxury. But until the late 18th century, the magnificent rugs of China were almost unknown to collectors and connoisseurs in the West. Because of their relative scarcity, antique specimens now command fantastic prices, but it is still possible with some knowledge of the subject, to find quality, semiantique specimens at reasonable prices. This book provides the criteria for identifying and understanding the most important aspects of Chinese rug collecting. The author, Adolf Hackmack, was a respected dealer in Chinese rugs at Tientsin. Before political conditions made research impossible in China, he was able to collect a vast amount of data available nowhere else. He covers what is known of the origins of rug making in China, with comments on the notable run producing centers such as Manchuria, Kansu, Tibet, Shantung, Chihli, and Chinese Turkestan. He explains Chinese weaving techniques, knots, dyes, patterns, and devotes considerable attention to explaining the symbology of Chinese rug design. You will become familiar with the meaning of such symbols as the phoenix, clouds, water, peach blossoms, flower vases, fans, chess boards, scrolls, fruits. Taoist motifs, emblems of honor, happiness, longevity, scholarship and love. No other writer on this subject had access to such a variety of sources, not only in superb private collections, but even in the vast collections at the Imperial Palace in Peking, and the temple treasury at Nara, Japan, which houses Chinese antiques from the T'ang Dynasty (618907 A.D.)Publisher's description, back cover
Process/industrial instruments and controls handbook by
Gregory K McMillan(
)
in English and held by 80 WorldCat member libraries worldwide
This book mirrors the most common industry practices. It includes sections on process control improvement & new instrumentation standards and it covers the latest advances sparked by increased power and miniaturization of the microprocessor
in English and held by 80 WorldCat member libraries worldwide
This book mirrors the most common industry practices. It includes sections on process control improvement & new instrumentation standards and it covers the latest advances sparked by increased power and miniaturization of the microprocessor
Lyapunov Exponents : Proceedings of a Conference held in Oberwolfach, May 28  June 2, 1990 by
L Arnold(
)
2 editions published in 1991 in English and held by 70 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 70 WorldCat member libraries worldwide
Lyapunov Exponents : Proceedings of a Workshop held in Bremen, November 1215, 1984(
)
1 edition published in 1986 in English and held by 42 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 42 WorldCat member libraries worldwide
Zur asymptotischen Verteilung der Eigenwerte zufälliger Matrizen by
L Arnold(
Book
)
7 editions published in 1969 in German and held by 31 WorldCat member libraries worldwide
7 editions published in 1969 in German and held by 31 WorldCat member libraries worldwide
Über die Konvergenz einer zufälligen Potenzreihe by
L Arnold(
Book
)
5 editions published between 1965 and 1966 in German and held by 15 WorldCat member libraries worldwide
5 editions published between 1965 and 1966 in German and held by 15 WorldCat member libraries worldwide
Evolutionary formalism for products of positive random matrices by
L Arnold(
Book
)
2 editions published in 1992 in German and English and held by 10 WorldCat member libraries worldwide
2 editions published in 1992 in German and English and held by 10 WorldCat member libraries worldwide
Zufällige dynamische Systeme by
L Arnold(
Book
)
2 editions published in 1993 in German and held by 10 WorldCat member libraries worldwide
2 editions published in 1993 in German and held by 10 WorldCat member libraries worldwide
Trends and open problems in the theory of random dynamical systems by
L Arnold(
Book
)
2 editions published in 1996 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 10 WorldCat member libraries worldwide
Fixed points and attractors for random dynamical systems by
L Arnold(
Book
)
3 editions published in 1995 in English and German and held by 10 WorldCat member libraries worldwide
3 editions published in 1995 in English and German and held by 10 WorldCat member libraries worldwide
Generic properties of Lyapunov exponents by
L Arnold(
Book
)
3 editions published in 1994 in English and German and held by 10 WorldCat member libraries worldwide
3 editions published in 1994 in English and German and held by 10 WorldCat member libraries worldwide
Small noise expansion of moment Lyapunov exponents for twodimensional systems by Monica M Doyle(
Book
)
3 editions published in 1994 in English and German and held by 10 WorldCat member libraries worldwide
3 editions published in 1994 in English and German and held by 10 WorldCat member libraries worldwide
Les blés fermentés en Algérie by
L Arnold(
Book
)
6 editions published in 1906 in French and held by 10 WorldCat member libraries worldwide
6 editions published in 1906 in French and held by 10 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Wihstutz, V. (Volker) 1940 Other Author Editor
 Crauel, H. (Hans) 1956 Other Editor
 Eckmann, Jean Pierre Other Author Editor
 Johnson, R. (Russell) Editor
 Centro internazionale matematico estivo Other
 Lefever, R. 1943 Collector Editor
 Kotelenez, P. (Peter) 1943 Collector Editor
 Hackmack, Adolf Author
 Klahn, J. B.
 Reip, Raymond G.
Associated Subjects
Automatic control Biochemistry Calculus of variations China Differentiable dynamical systems Distribution (Probability theory) Dynamics Engineering instruments Engineering mathematics Ergodic theory Global analysis (Mathematics) Integral equations Limit theorems (Probability theory) Lyapunov exponents Lyapunov functions Mappings (Mathematics) Mathematical analysis Mathematical optimization Mathematical physics Mathematical statistics Mathematics Mechanics Mine accidents Miners Nonlinear theories Physical organic chemistry Physics Probabilities Process control Queensland Random dynamical systems Random matrices Rugs Statespace methods Statistical physics Statistics Stochastic analysis Stochastic differential equations Stochastic integral equations Stochastic processes Stochastic systems System theory
Covers
Alternative Names
Arnold L.
Arnold, L. 1937
Arnold, L. (Ludwig)
Arnold, Ludwig
Arnold, Ludwig 1937
Languages