OEuvres Completes-Collected Works (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
748
Utgivningsdatum
2020-09-11
Upplaga
1st ed. 2020
Förlag
Springer International Publishing AG
Medarbetare
Bismut, Jean-Michel (foreword)/Foellmer, Hans (foreword)/Bismut, Jean-Michel (foreword)/Foellmer, Hans (foreword)
Illustratör/Fotograf
Bibliographie
Illustrationer
XVII, 748 p.
Dimensioner
237 x 166 x 44 mm
Vikt
1271 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9783319418803
OEuvres Completes-Collected Works (inbunden)

OEuvres Completes-Collected Works

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This book contains all of Wolfgang Doeblin's publications. In addition, it includes a reproduction of the pli cachete on l'equation de Kolmogoroff and previously unpublished material that Doeblin wrote in 1940. The articles are accompanied by commentaries written by specialists in Doeblin's various areas of interest. The modern theory of probability developed between the two World Wars thanks to the very remarkable work of Kolmogorov, Khinchin, S.N. Bernstein, Romanovsky, von Mises, Hostinsky, Onicescu, Frechet, Levy and others, among whom one name shines particularly brightly, that of Wolfgang Doeblin (1915-1940). The work of this young mathematician, whose life was tragically cut short by the war, remains even now, and indeed will remain into the future, an exemplar of originality and of mathematical power. This book was conceived and in essence brought to fruition by Marc Yor before his death in 2014. It is dedicated to him.
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"It attracted interest not only by mathematicians or some probability theory specialists, but also by the public, which normally would not be that interested in mathematics. ... the editors gathered not only all published articles of W. Doeblin, but also some more papers, especially the 'cahier jaune' (yellow notebook). In comments and annotations the contents of the papers are put into today's context by probability theory specialists. The book is excellent, a large and substantial work." (Silke Goebel, zbMATH 1460.01019, 2021)

Övrig information

Marc Yor (1949-2014) was Professor at the Pierre et Marie Curie University, Paris VI. He was one of the most eminent specialists in probability theory, with a particular interest in stochastic processes related to Brownian motion and their applications to mathematical finance. A member of the French Academy of Sciences, his numerous students include some very eminent mathematicians. Bernard Bru is a retired Professor at the Rene Descartes University, Paris V. He is a specialist in the history of probability and statistics and has edited the work of some of the major figures in this area, including Laplace, Condorcet, and Cournot.

Innehållsförteckning

J.-M. Bismut, Avant-propos.- H. Foellmer, Geleitwort.- B. Bru, Preface.- Part I The Life of Wolfgang Doeblin March 17, 1915 - June 21, 1940: B. Bru, Biographical Summary.- W. Doeblin, Autobiographical Note.- W. Doeblin (with remarks by B. Bru and E. Seneta), Notice sur les travaux.- List of Works of Wolfgang Doeblin.- Conversion Table.- T. Lindvall, W. Doeblin 1915-1940.- B. Bru and M. Yor, La vie de Doeblin et le pli cachete 11.668.- B. Bru and M. Yor, Comments on the Life and Mathematical Legacy of Wolfgang Doeblin.-B. Bru and E. Seneta, Two Letters of W. Doeblin to A. N. Kolmogorov.- Part II Markov Chains: E. Seneta, Doeblin on Discrete Markov Chains.- M. Iosifescu, On Doeblin and Fortet's paper "Sur des chaines a liaisons completes".- M. Iosifescu, On Doeblin's paper "Remarques sur la theorie metrique des fractions continues".- E. Nummelin, Doeblin's Theory of Markov Chains on a General Measurable State Space.- W. Doeblin, Sur les chaines discretes de Markoff [1936b].- W. Doeblin, Errata 1: Sur les chaines discretes de Markoff [1936c].- W. Doeblin, Errata 2: Sur les chaines discretes de Markoff [1936d].- W. Doeblin, Sur les chaines de Markoff [1936e].- W. Doeblin and R. Fortet, Sur deux notes de MM. Kryloff et Bogoliouboff [1937e].- W. Doeblin, Elements d'une theorie generale des chaines constantes simples de Markoff [1937f].- W. Doeblin, Le cas discontinu des probabilites en chaine [1937a].- W. Doeblin, Sur le cas continu des probabilites en chaine [1937b].- W. Doeblin, and Robert Fortet Sur des chaines a liaisons completes [1937c].- W. Doeblin, Sur l'equation de Smoluchowsky [1937d].- W. Doeblin, Sur les proprietes asymptotiques de mouvements regis par certains types de chaines simples [1938g] (reprint of [1937g] and [1937h]).- W. Doeblin, Sur l'equation matricielle A(t+s) = [A(t)A(s)] et ses applications aux probabilites en chaine [1938a].-W. Doeblin, Sur l'equation matricielle A(t+s) = [A(t)A(s)] et ses applications au calcul des probabilites [1940a].- W. Doeblin, Sur deux problemes de M. Kolmogoroff concernant les chaines denombrables [1938f].- W. Doeblin, Expose de la theorie des chaines simples constantes de Markoff a un nombre fini d'etats [1938e].- W. Doeblin, Remarques sur la theorie metrique des fractions continues [1940d.- W. Doeblin, Elements d'une theorie generale des chaines simples constantes de Markoff [1940e].- Part III Sums of Independent Random Variables: D. M. Mason, Notes on Wolfgang Doeblin's 1940 paper: L'ensemble de puissances d'une loi de probabilite.- W. Doeblin and P. Levy, Sur les sommes de variables aleatoires independantes a dispersions bornees inferieurement [1936a].- W. Doeblin, Premiers elements d'une etude systematique de l'ensemble de puissances d'une loi de probabilite [1938b].- W. Doeblin, Etude de l'ensemble de puissances d'une loi de probabilite [1938c].- W. Doeblin, Sur les sommes d'un grand nombre de vecteurs aleatoires [1938d].- W. Doeblin, Sur un probleme de calcul des probabilites [1939b].- W. Doeblin, Sur les sommes d'un grand nombre de variables aleatoires independantes [1939c].- W. Doeblin, Sur l'ensemble de puissances d'une loi de probabilite (1940) [1940f].- W. Doeblin (with remarks by B. Bru and E. Seneta), Sur l'ensemble de puissances d'une loi de probabilite [1946].- Part IV Chapman's Equations. Part IV.1 Documents Published Before the pli cachete: W. Doeblin (with a remark by B. Bru), Sur certaines mouvements aleatoires discontinus [1939d].- W. Doeblin, Sur l'equation de Kolmogoroff [1938h].- W. Doeblin, Sur certains mouvements aleatoires [1939a].- W. Doeblin, Sur l'equation de Kolmogoroff [1940b].- W. Doeblin, Sur des mouvements mixtes [1940c].- Part IV.2 The pli cachete: M. Yor, Presentation du pli cachete.- W. Doeblin (with remarks by Bernard Bru and Marc Yor), Sur l'equation de Kolmogoroff, pli cachete depose le 26 fevrier 1940, ouvert le 18 mai 2000 [1940g/2000].- B. Bru, Notes de lecture du pli cachete.- W. Doeblin (with remarks by Bernar