Francisco Arratia is a Spanish‑American mathematician whose research focuses on probability theory and stochastic processes. He is noted for his contributions to the study of coalescing stochastic flows—commonly referred to as the “Arratia flow”—and for his work on Poisson approximation methods.
Arratia has collaborated with scholars such as Alan D. Barbour and Steven Tavaré, co‑authoring the influential monograph Poisson Approximation (1992), which presents systematic techniques for approximating distributions of dependent random variables by Poisson laws. His research has also addressed topics including random permutations, interacting particle systems, and the asymptotic behavior of combinatorial structures.
Academic affiliations
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Arratia has held a faculty position in the Department of Mathematics at the University of California, Irvine, where he has been involved in teaching, supervision of graduate students, and ongoing research activities.
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He has participated in various research programs and conferences worldwide, contributing to the development of probability theory and its applications.
Publications and recognitions
- Poisson Approximation (with A. D. Barbour and S. Tavaré, Oxford University Press, 1992) – a widely cited reference in the field.
- Numerous peer‑reviewed articles in leading mathematical journals covering topics such as stochastic flows, combinatorial probability, and limit theorems.
Personal background
- Specific details regarding Arratia’s date and place of birth are not publicly documented in reliable encyclopedic sources.
Overall, Francisco Arratia is recognized within the mathematical community for advancing the theoretical understanding of stochastic processes and for providing tools that bridge probability theory with combinatorial analysis.