Erwin Bolthausen (born 15 October 1945 in Rohr, Aargau) is a Swiss mathematician, specializing in probability theory, statistics, and stochastic models in mathematical physics.
Erwin Bolthausen (born 15 October 1945 in Rohr, Aargau) is a Swiss mathematician, specializing in probability theory, statistics, and stochastic models in mathematical physics.
Bolthausen received his doctorate in mathematics under Beno Eckmann in 1973 from ETH Zurich. Bolthausen's thesis was entitled Einfache Isomorphietypen in lokalisierten Kategorien und einfache Homotopietypen von Polyeder (Simple isomorphic types in localized categories and simple homotopy types of polyhedra). [1] In 1978 he completed his habilitation at the University of Konstanz and was then an associate professor of mathematics at the Goethe University Frankfurt for the academic year 1978–1979. From 1979 to 1990 he was a full professor at Technische Universität Berlin. Since 1990 he is a full professor at the University of Zurich, [2] where he headed the Institut für Mathematik from 1998 to 2001. [3]
In the early years of his career Bolthausen did research on martingale convergence theorems, combinatorial limit theorems, and the large deviations theory. Later in his career he dealt with stochastic models in mathematical physics, such as wandering in random media, phenomena related to random interfaces (entropic repulsion, wetting phenomena), spin glasses, and polymers in random media.
Bolthausen has been a member of the German National Academy of Sciences Leopoldina since 2007. [3] From 1995 to 2000 he was a member of the council of the Mathematisches Forschungsinstitut Oberwolfach. He is since 2002 a member of the scientific advisory board of the École d'Eté de Probabilités de Saint-Flour and since 1994 a member of the Board of Trustees of the Swiss National Science Foundation. [2]
He was an associate editor from 1987 to 1989 for the Annals of Statistics and from 1988 to 1993 for the Annals of Probability . For the journal Probability Theory and Related Fields he was editor-in-chief from 1994 to 2000 and is an associate editor since 2000. [2]
Bolthausen was in 2002 in Beijing an invited speaker with talk Localization-delocalization phenomena for random interfaces [4] at the International Congress of Mathematicians and in 1996 in Budapest with talk Large deviations and perturbations of random walks and random surfaces [5] at the European Congress of Mathematicians.
{{cite book}}: CS1 maint: postscript (link)In probability theory, de Finetti's theorem states that exchangeable observations are conditionally independent relative to some latent variable. An epistemic probability distribution could then be assigned to this variable. It is named in honor of Bruno de Finetti.
In probability theory, an empirical process is a stochastic process that characterizes the deviation of the empirical distribution function from its expectation. In mean field theory, limit theorems are considered and generalise the central limit theorem for empirical measures. Applications of the theory of empirical processes arise in non-parametric statistics.
The contact process is a stochastic process used to model population growth on the set of sites of a graph in which occupied sites become vacant at a constant rate, while vacant sites become occupied at a rate proportional to the number of occupied neighboring sites. Therefore, if we denote by the proportionality constant, each site remains occupied for a random time period which is exponentially distributed parameter 1 and places descendants at every vacant neighboring site at times of events of a Poisson process parameter during this period. All processes are independent of one another and of the random period of time sites remains occupied. The contact process can also be interpreted as a model for the spread of an infection by thinking of particles as a bacterium spreading over individuals that are positioned at the sites of , occupied sites correspond to infected individuals, whereas vacant correspond to healthy ones.
Michel Pierre Talagrand is a French mathematician. Doctor of Science since 1977, he has been, since 1985, Directeur de Recherches at CNRS and a member of the Functional Analysis Team of the Institut de mathématiques de Jussieu in Paris. Talagrand was also a faculty member at The Ohio State University for more than fifteen years. Talagrand was elected as correspondent of the Académie des sciences of Paris in March 1997, and then as a full member in November 2004, in the Mathematics section. In 2024, Talagrand received the Abel Prize.
Jean-Michel Bismut is a French mathematician who has been a professor at the Université Paris-Sud since 1981. His mathematical career covers two apparently different branches of mathematics: probability theory and differential geometry. Ideas from probability play an important role in his works on geometry.
In probability theory a Brownian excursion process is a stochastic process that is closely related to a Wiener process. Realisations of Brownian excursion processes are essentially just realizations of a Wiener process selected to satisfy certain conditions. In particular, a Brownian excursion process is a Wiener process conditioned to be positive and to take the value 0 at time 1. Alternatively, it is a Brownian bridge process conditioned to be positive. BEPs are important because, among other reasons, they naturally arise as the limit process of a number of conditional functional central limit theorems.
Probability Theory and Related Fields is a peer-reviewed mathematics journal published by Springer. Established in 1962, it was originally named Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, with the English replacing the German starting from volume 71 (1986). The journal publishes articles on probability. The journal is indexed by Mathematical Reviews and Zentralblatt MATH. Its 2019 MCQ was 2.29, and its 2019 impact factor was 2.125.
Robin Lyth Hudson was a British mathematician notable for his contribution to quantum probability.
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In probability, weak dependence of random variables is a generalization of independence that is weaker than the concept of a martingale. A (time) sequence of random variables is weakly dependent if distinct portions of the sequence have a covariance that asymptotically decreases to 0 as the blocks are further separated in time. Weak dependence primarily appears as a technical condition in various probabilistic limit theorems.
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A generalized probabilistic theory (GPT) is a general framework to describe the operational features of arbitrary physical theories. A GPT must specify what kind of physical systems one can find in the lab, as well as rules to compute the outcome statistics of any experiment involving labeled preparations, transformations and measurements. The framework of GPTs has been used to define hypothetical non-quantum physical theories which nonetheless possess quantum theory's most remarkable features, such as entanglement or teleportation. Notably, a small set of physically motivated axioms is enough to single out the GPT representation of quantum theory.
James Pickands III was an American mathematical statistician known for his contribution to extreme value theory and stochastic processes.
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