Bálint Tóth
Encyclopedia
Bálint Tόth is a Hungarian
Hungary
Hungary , officially the Republic of Hungary , is a landlocked country in Central Europe. It is situated in the Carpathian Basin and is bordered by Slovakia to the north, Ukraine and Romania to the east, Serbia and Croatia to the south, Slovenia to the southwest and Austria to the west. The...

 mathematician whose work concerns probability theory
Probability theory
Probability theory is the branch of mathematics concerned with analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single...

. He has worked in various fields of probability theory and mathematical physics, for example in microscopic models of Brownian motion
Brownian motion
Brownian motion or pedesis is the presumably random drifting of particles suspended in a fluid or the mathematical model used to describe such random movements, which is often called a particle theory.The mathematical model of Brownian motion has several real-world applications...

,
quantum spin systems, limit theorems for random walk
Random walk
A random walk, sometimes denoted RW, is a mathematical formalisation of a trajectory that consists of taking successive random steps. For example, the path traced by a molecule as it travels in a liquid or a gas, the search path of a foraging animal, the price of a fluctuating stock and the...

s with long memory
and non-conventional stochastic process
Stochastic process
In probability theory, a stochastic process , or sometimes random process, is the counterpart to a deterministic process...

es, hydrodynamic limits, etc. In particular, Tόth contributed significantly to the theory of self-interacting motions, that is, motions that are "reinforced", "self-avoiding" or "self-repellent". In 1994 he received the Mathematical Prize awarded by the Hungarian Academy of Sciences
Paul Erdős Prize
The Paul Erdős Prize is given to Hungarian mathematicians not older than 40 by the Mathematics Department of the Hungarian Academy of Sciences...

 (since 1997 the prize is called 'Paul Erdõs Prize' after the late Paul Erdős
Paul Erdos
Paul Erdős was a Hungarian mathematician. Erdős published more papers than any other mathematician in history, working with hundreds of collaborators. He worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory, and probability theory...

).

From 2005 to 2009 Bálint Tόth was the director of the Institute of Mathematics of the Budapest University of Technology and Economics
Budapest University of Technology and Economics
The Budapest University of Technology and Economics , in hungarian abbreviated as BME, English official abbreviation BUTE, is the most significant University of Technology in Hungary and is also one of the oldest Institutes of Technology in the world, having been founded in 1782.-History:BME is...

.

Tόth is a close collaborator of Wendelin Werner
Wendelin Werner
Wendelin Werner is a German-born French mathematician working in the area of self-avoiding random walks, Schramm-Loewner evolution, and related theories in probability theory and mathematical physics. In 2006, at the 25th International Congress of Mathematicians in Madrid, Spain he received the...

.
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