Bálint Tόth (born 1955, Cluj/Kolozsvár/Klausenburg) is a Hungarian mathematician whose work concerns

probability theory Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expre ...

stochastic process In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables in a probability space, where the index of the family often has the interpretation of time. Sto ...

and probabilistic aspects of

mathematical physics Mathematical physics is the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the de ...

. He obtained PhD in 1988 from the

Hungarian Academy of Sciences The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...

, worked as senior researcher at the Institute of Mathematics of the HAS and as professor of mathematics at TU Budapest. He holds the Chair of Probability at the

University of Bristol The University of Bristol is a public university, public research university in Bristol, England. It received its royal charter in 1909, although it can trace its roots to a Merchant Venturers' school founded in 1595 and University College, Br ...

and is a research professor at the

Alfréd Rényi Institute of Mathematics The Alfréd Rényi Institute of Mathematics () is the research institute in mathematics of the Hungarian Academy of Sciences. It was created in 1950 by Alfréd Rényi, who directed it until his death. Since its creation, the institute has been th ...

, Budapest. He has worked on microscopic models of

Brownian motion Brownian motion is the random motion of particles suspended in a medium (a liquid or a gas). The traditional mathematical formulation of Brownian motion is that of the Wiener process, which is often called Brownian motion, even in mathematical ...

, quantum spin systems, limit theorems for

random walk In mathematics, a random walk, sometimes known as a drunkard's walk, is a stochastic process that describes a path that consists of a succession of random steps on some Space (mathematics), mathematical space. An elementary example of a rand ...

s with long memory, and non-conventional

es, hydrodynamic limits, etc. In particular, Tόth contributed to the theory of self-interacting motions, that is, motions that are "reinforced", "self-avoiding" or "self-repellent". In collaboration with

Wendelin Werner Wendelin Werner (born 23 September 1968) is a German-born French mathematician working on random processes such as self-avoiding random walks, Brownian motion, Schramm–Loewner evolution, and related theories in probability theory and mathematic ...

he constructed the random geometric object later called the Brownian web. Tóth was an invited speaker of the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

ICM-2018 (Rio de Janeiro), and of the

European Congress of Mathematics The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely betwee ...

ECM-2000 (Barcelona). He was plenary speaker at three Conferences on Stochastic Processes and their Applications SPA-2005 (Santa Barbara), SPA-2014 (Buenos Aires), and IMS Medallion Lecturer at SPA-2022 (Wuhan). He is a member of

Academia Europaea The Academia Europaea is a pan-European Academy of humanities, letters, law, and sciences. The Academia was founded in 1988 as a functioning Europe-wide Academy that encompasses all fields of scholarly inquiry. It acts as co-ordinator of Europe ...

and a corresponding member of the

. Tóth was Editor-in-Chief of the journals Electronic Journal of Probability (2009-2011) and Annals of Applied Probability (2016-2018). Currently he is co-Editor-in-Chief (jointly with Fabio Toninelli) of

Probability Theory and Related Fields '' 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 replacin ...

References

External links

Arxiv papersPersonal homepage
* {{DEFAULTSORT:Toth, Balint 20th-century Hungarian mathematicians 21st-century Hungarian mathematicians Living people 1955 births Probability Theory and Related Fields editors Members of Academia Europaea