With Andrzej Lasota there and back again. The XVII annual lecture dedicated to the memory of Professor Andrzej Lasota. (English) Zbl 07904701
Summary: The paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasota’s results on the author’s research concerning various fields of mathematics, including chaos and ergodicity of dynamical systems, Markov operators and semigroups and partial differential equations.
MSC:
| 35-02 | Research exposition (monographs, survey articles) pertaining to partial differential equations |
| 35-03 | History of partial differential equations |
| 01A07 | Ethnomathematics (general) |
| 35F25 | Initial value problems for nonlinear first-order PDEs |
| 37A05 | Dynamical aspects of measure-preserving transformations |
| 37L40 | Invariant measures for infinite-dimensional dissipative dynamical systems |
| 47D06 | One-parameter semigroups and linear evolution equations |
| 60J76 | Jump processes on general state spaces |
| 92D25 | Population dynamics (general) |
Keywords:
chaos; invariant measure; partial differential equation; Markov operator; semigroup of operators; asymptotic stability; piecewise deterministic Markov process; application to biological modelsReferences:
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