Bálint Tóth (mathematician)

Bálint Tóth , (* 1955 ) is a Hungarian mathematician who deals with stochastics and statistical physics .

Toth studied physics at the University of Bucharest with a diploma in 1980 and received his doctorate in mathematics with Domokos Szász at the Hungarian Academy of Sciences in Budapest in 1988 (dissertation: ontributions to the Dynamical Theory of Brownian Motion - Mechanical and Probabilistic models). In 1999 he completed his habilitation in Budapest (doctorate in the Eastern European system). From 1982 to 1998 he was at the Mathematical Institute of the Hungarian Academy of Sciences (Alfred Renyi Institute) with interruptions from 1989 to 1991 when he was a lecturer at Heriot-Watt University . From 1998 to 2017 he was a professor at the TU Budapest (where he headed the Stochastics department until 2012). He has also been a Heilbronn Professor at the University of Bristol since 2012 and at the Alfred Renyi Institute again since 2017.

He deals with random walks (including those with self-interaction and central limit theorems) and stochastic processes and classical and quantum mechanical statistical physics (including various hydrodynamic limit values ​​of systems of statistical mechanics, microscopic models of Brownian motion, quantum spin systems) . He published with Wendelin Werner , among others .

In 2000 he was invited speaker at the European Congress of Mathematicians in Barcelona (Self-interacting random motions). For 2018 he is invited speaker at the International Congress of Mathematicians in Rio de Janeiro . From 2016 to 2018 he is editor of the Annals of Applied Probability and from 2009 to 2011 of the Electronic Journal of Probability.

He was visiting professor at the École normal supérieure (Paris) , at the Institut Henri Poincaré and the University of Marseille and visiting scholar at the IMPA in Rio, at the Mittag-Leffler-Institut , at the Landau-Institut of the Lomonossow-Universität (1985), at the CWI in Amsterdam and at the BIBOS research center in Bielefeld.

In 2010 he received the Szele Tibor Medal of the Hungarian Mathematical Society (Janos Bolyai Society) and in 2009 the Knight's Cross of the Republic of Hungary, which he returned in August 2016 in protest against the nationalist, racist publicist Zsolt Bayer receiving the Knight's Cross from Viktor Orbán . In 1994 he received the Paul Erdös Prize and in 2003 the Hungarian Academy Prize. He has been a member of the Academia Europaea since 2016 .

Fonts (selection)

• Generalized Ray-Knight theory and limit theorems for self-interacting random walks, Annals of Probability, Volume 24, 1996, pp. 1324-1367.
• True self-avoiding walks with generalized bond repulsion on Z, Journal of Statistical Physics, Volume 77, 1994, pp. 1994, pp. 17-33.
• True self-avoiding walk with bond repulsion on Z: limit theorems, Annals of Probability, Volume 23, 1995, pp. 1523-1556.
• Editor with Pál Révész: Random Walks - A Collection of Surveys, Bolyai Society Mathematical Studies, Volume 9, 1999 (therein by Toth: Self-interacting random motions, pp. 349–384)
• No more than three favorite sites for simple random walk, Annals of Probability, Volume 29, 2001, pp. 484-503, Arxiv

Web links

• Homepage Alfred Renyi Institute