uvres CompltesCollected Works

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 todays context by probability theory specialists. The book is excellent, a large and substantial work. (Silke Gbel, zbMATH 1460.01019, 2021)

Marc Yor (19492014) 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 Ren 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.

J.-M. Bismut, Avant-propos.- H. Fllmer, 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 19151940.- B. Bru and M. Yor, La vie de Doeblin et le pli cachet 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 Fortets paper Sur des chanes liaisons compltes.- M. Iosifescu, On Doeblins paper Remarques sur la thorie mtrique des fractions continues.- E. Nummelin, Doeblins Theory of Markov Chains on a General Measurable State Space.- W. Doeblin, Sur les chanes discrtes de Markoff [1936b].- W. Doeblin, Errata 1: Sur les chanes discrtes de Markoff [1936c].- W. Doeblin, Errata 2: Sur les chanes discrtes de Markoff [1936d].- W. Doeblin, Sur les chanes de Markoff [1936e].- W. Doeblin and R. Fortet, Sur deux notes de MM. Kryloff et Bogoliouboff [1937e].- W. Doeblin, lments dune thorie gnrale des chanes constantes simples de Markoff [1937f].- W. Doeblin, Le cas discontinu des probabilits en chane [1937a].- W. Doeblin, Sur le cas continu des probabilits en chane [1937b].- W. Doeblin, and Robert Fortet Sur des chanes liaisons compltes [1937c].- W. Doeblin, Sur lquation de Smoluchowsky [1937d].- W. Doeblin, Sur les proprits asymptotiques de mouvements rgis par certains types de chanes simples [1938g] (reprint of [1937g] and [1937h]).- W. Doeblin, Sur lquation matricielle A(t+s) = [A(t)A(s)] et ses applications aux probabilits en chane [1938a].-W. Doeblin, Sur lquation matricielle A(t+s) = [A(t)A(s)] et ses applications au calcul des probabilits [1940a].- W. Doeblin, Sur deux problmes de M. Kolmogoroff concernant les chanes dnombrables [1938f].- W. Doeblin, Expos de la thorie des chanes simples constantes de Markoff un nombre fini dtats [1938e].- W. Doeblin, Remarques sur la thorie mtrique des fractions continues [1940d.- W. Doeblin, lments dune thorie gnrale des chanes simples constantes de Markoff [1940e].- Part III Sums of Independent Random Variables: D. M. Mason, Notes on Wolfgang Doeblins 1940 paper: Lensemble de puissances dune loi de probabilit.- W. Doeblin and P. Lvy, Sur les sommes de variables alatoires indpendantes dispersions bornes infrieurement [1936a].- W. Doeblin, Premiers lments dune tude systmatique de lensemble de puissances dune loi de probabilit [1938b].- W. Doeblin, tude de lensemble de puissances dune loi de probabilit [1938c].- W. Doeblin, Sur les sommes dun grand nombre de vecteurs alatoires [1938d].- W. Doeblin, Sur un problme de calcul des probabilits [1939b].- W. Doeblin, Sur les sommes dun grand nombre de variables alatoires indpendantes [1939c].- W. Doeblin, Sur lensemble de puissances dune loi de probabilit (1940) [1940f].- W. Doeblin (with remarks by B. Bru and E. Seneta), Sur lensemble de puissances dune loi de probabilit [1946].- Part IV Chapmans Equations. Part IV.1 Documents Published Before the pli cachet: W. Doeblin (with a remark by B. Bru), Sur certaines mouvements alatoires discontinus [1939d].- W. Doeblin, Sur lquation de Kolmogoroff [1938h].- W. Doeblin, Sur certains mouvements alatoires [1939a].- W. Doeblin, Sur lquation de Kolmogoroff [1940b].- W. Doeblin, Sur des mouvements mixtes [1940c].- Part IV.2 The pli cachet: M. Yor, Prsentation du pli cachet.- W. Doeblin (with remarks by Bernard Bru and Marc Yor), Sur lquation de Kolmogoroff, pli cachet dpo