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

probability theory Probability theory 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 expressing it through a set o ...

, stochastic process and probabilistic aspects of

mathematical physics Mathematical physics refers to 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 t ...

. He obtained PhD in 1988 from the

Hungarian Academy of Sciences The Hungarian Academy of Sciences ( hu, Magyar Tudományos Akadémia, MTA) is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. Its mai ...

, worked as senior researcher at the Institute of Mathematics of the

HAS HAS or Has may refer to: Organizations * Hawaii Audubon Society, bird conservation organization in Hawaii * Hellenic Actuarial Society, association of actuaries in Greece * Hubbard Association of Scientologists International, corporation founde ...

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 Red brick university, red brick Russell Group research university in Bristol, England. It received its royal charter in 1909, although it can trace its roots to a Society of Merchant Venturers, Merchant Venturers' sc ...

and is a research professor at the

Alfréd Rényi Institute of Mathematics The Alfréd Rényi Institute of Mathematics ( hu, Rényi Alfréd Matematikai Kutatóintézet) 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. ...

, Budapest. He has worked on microscopic models of

Brownian motion Brownian motion, or pedesis (from grc, πήδησις "leaping"), is the random motion of particles suspended in a medium (a liquid or a gas). This pattern of motion typically consists of random fluctuations in a particle's position insi ...

, quantum spin systems, limit theorems for

random walk In mathematics, a random walk is a random process that describes a path that consists of a succession of random steps on some mathematical space. An elementary example of a random walk is the random walk on the integer number line \mathbb ...

s with long memory, and non-conventional stochastic processes, 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 In probability theory, the Brownian web is an uncountable collection of one-dimensional coalescing Brownian motions, starting from every point in space and time. It arises as the diffusive space-time scaling limit of a collection of coalescing ran ...

. 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 Nevanlinna Prize (to be rename ...

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 Europea ...

and a corresponding member of the

. Tóth was Editor-in-Chief of the journals

Electronic Journal of Probability The ''Electronic Journal of Probability'' is a peer-reviewed open access scientific journal published by the Institute of Mathematical Statistics and the Bernoulli Society. It covers all aspects of probability theory and the current editor-in-chief ...

(2009-2011) and

Annals of Applied Probability '' The Annals of Applied Probability'' is a leading peer-reviewed mathematics journal published by the Institute of Mathematical Statistics, which is the main international society for researchers in probability and statistics. The journal was est ...

(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 review, peer-reviewed mathematics journal published by Springer Science+Business Media, Springer. Established in 1962, it was originally named ''Zeitschrift für Wahrscheinlichkeitstheorie und v ...

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