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| László Révész | |
|---|---|
| Name | László Révész |
| Birth date | 1922 |
| Birth place | Hungary |
| Death date | 2014 |
| Nationality | Hungarian |
| Fields | Probability theory, stochastic processes |
| Alma mater | Eötvös Loránd University |
| Doctoral advisor | Alfréd Rényi |
László Révész
László Révész was a Hungarian mathematician known for work in probability theory and stochastic processes, particularly limit theorems and large deviations. He contributed to the development of empirical process theory and the study of sums of independent random variables, collaborating with notable probabilists across Europe and the United States. His research influenced directions in asymptotic analysis, measure theory, and applied probability.
Born in Hungary in 1922, Révész studied at Eötvös Loránd University where he completed undergraduate and doctoral studies under the supervision of Alfréd Rényi. During his formative years he encountered the mathematical environments of Budapest, interacting with contemporaries linked to institutions such as the Mathematical Institute of the Hungarian Academy of Sciences and colleagues connected with Central European University and the broader Central European mathematical tradition. His early training included exposure to the probabilistic schools associated with Andrey Kolmogorov, Paul Lévy, and the measure-theoretic approaches advanced at University of Paris (Sorbonne) and University of Göttingen.
Révész held positions at Hungarian research centers and contributed to international collaborations involving scholars from Princeton University, Stanford University, University of California, Berkeley, and University of Cambridge. He authored monographs and articles that addressed empirical processes, random walks, and strong approximations, interacting with themes explored by William Feller, Sergei Bernstein, Paul Erdős, György Katona, and Paul Lévy. His major works include rigorous treatments of almost sure convergence, laws of the iterated logarithm, and approximations linking discrete and continuous stochastic models, echoing techniques from Szeged University and referencing asymptotic methods used by researchers at Max Planck Institute for Mathematics and Institute for Advanced Study.
Révész made substantive contributions to the theory of sums of independent random variables, empirical distribution functions, and strong approximations to stochastic processes. He advanced methods related to the law of the iterated logarithm as developed by A. N. Kolmogorov and Khinchin, and extended approximation techniques connected to the Komlós–Major–Tusnády (KMT) framework established by János Komlós, Gábor Tusnády, and András Major. His work intersected with central limit theory themes from Émile Borel and Leonard J. Savage, and with large deviation ideas pioneered by S. R. S. Varadhan and Harald Cramér. Révész also examined local limit theorems in the tradition of Carl Friedrich Gauss and Pál Erdős, and his probabilistic approximations were employed in applications studied at institutions like Columbia University and University of Chicago.
Révész received recognition from national and international academies associated with the Hungarian Academy of Sciences and was invited to deliver lectures at venues including International Congress of Mathematicians events and seminars at Courant Institute of Mathematical Sciences, IHÉS, and the Royal Society. His standing in probability theory led to collaborations and visiting appointments at research centers such as BNL (Brookhaven National Laboratory), Institute of Statistical Mathematics (Japan), and European groups at ETH Zurich and Université Pierre et Marie Curie.
- "Strong approximations in probability theory" — monograph presenting methods related to coupling and invariance principles, drawing on ideas from Khinchin, Kolmogorov, and Komlós–Major–Tusnády collaborators. - Articles on empirical processes and almost sure convergence published in journals frequented by contributors from Annals of Probability, Probability Theory and Related Fields, and Journal of Theoretical Probability; topics intersecting works of William Feller, Paul Erdős, and Alfréd Rényi. - Papers on local limit theorems and random walks, building on traditions associated with Pólya and George Pólya's circle, cited alongside studies by Bálint Tóth and Imre Bárány.
Révész mentored students who became active in probabilistic research at institutions including Eötvös Loránd University, University of Debrecen, and research institutes of the Hungarian Academy of Sciences. His legacy persists through textbooks, citations in modern treatments of empirical process theory, and the integration of strong approximation methods into contemporary studies at universities such as Oxford University, Harvard University, and Yale University. Renowned for bridging Hungarian probabilistic traditions with international schools exemplified by Kolmogorov and Doob, his influence endures in research on stochastic processes, asymptotic probability, and statistical theory.
Category:Hungarian mathematicians Category:Probability theorists Category:1922 births Category:2014 deaths