93. Many faces of Kramers problem

Karol Capala – Personal Health Data Science Team, Sano Centre for Computational Medicine, Krakow, PL

Abstract

The Kramers problem, which refers to the escape of particles through a potential barrier, is one of the fundamental problems in statistical physics. Since its formulation, it has not been limited to the analysis of mechanical systems, but has also been used as a model for chemical reactions. Nowadays, it is applied to model many processes in biology and medicine. This seminar will provide a brief introduction to the Kramers problem, followed by a discussion of its selected generalizations and applications.

About the author

Karol Capala is an alumnus of physics at the Jagiellonian University. During his bachelor’s degree, he was involved in epidemiological modeling, and later devoted time to the study of stochastic processes. He defended, with distinction, his PhD thesis on underdamped Lévy flights. He is currently working at Sano as a Postdoctoral Researcher in the Personal Health Data Science team focusing on the theoretical aspect of AI design. His interests include theory of random walks, statistical physics, and population models.