Adam Bobrowski

My new book Generators of Markov processes is out!

My background is in functional analysis and stochastic processes. My interests in these fields were shaped by professors Tadeusz Leżanski and Andrzej Lasota. After graduation from Maria Curie Skłodowska University (with distinction), I had a privilege to study the theory of semigroups of operators under professor Jan Kisyński, who also was my PhD advisor. My interest in problems of convergence of semigroups of operators and generalizations of the Hille-Yosida theorem to non-densely defined operators (a theory involving integrated and regularized semigroups, and inverting of the Laplace transform for vector-valued functions) have grown out of my collaboration with him.

In 1997 I moved to Houston, TX where I was affiliated with Rice University, University of Texas (Medical Center) and University of Houston. It is there that I became interested in problems of mathematical modeling in biology. In particular, I worked with professors Marek Kimmel and Ranajit Chakraborty, on models involving genetic drift or, viewed backwards, Kingman’s coalescence. In 2002 I returned to Lublin, Poland and to Technical University I have been affiliated with since 1988.

Currently, I am mostly interested in applying the theory of semigroups of operators in modelling biological phenomena, especially those of stochastic type. I am particularly pleased if such modelling involves interesting boundary conditions.

In the spring of 2020 I was awarded with the prestigeous Hugo Steinhaus Prize for Achievements in Applied Mathematics. See here or here.

A list of my papers may be found on Google Scholar and Research Gate as well as (almost) everywhere (MathSciNet).

The list at Orcid seems to be complete.

PUBLISHED BOOKS

1. Translation of J.F.C Kingman’s “Poisson Processes” into Polish, Wydawnictwo PWN: Warsaw 2001.

2. A. Bobrowski “Functional Analysis for Probability and Stochastic Processes”, Cambridge University Press, 2005. See e.g. here or here. Errata can be downloaded here.

3. J. Banasiak, A. Bobrowski and M. Lachowicz (Eds.) “Semigroups of Operators: Theory and Applications”, Springer Proceedings in Mathematics & Statistics, Vol. 113, Springer 2015. See e.g. here.

4. A. Bobrowski and M. Kimmel “An operator semigroup in mathematical genetics.” Springer, 2015. See e.g here.

5. A. Bobrowski “Functional Analysis One and a Half. An Essay on Completeness.” (In Polish.) Lublin University of Technology, 2015. This book is distributed free of charge and can be downloaded here.

6. A. Bobrowski, “Convergence of one-parameter operator semigroups. In models of mathematical biology and elsewhere.” Cambridge University Press 2016. See e.g. here, or here. Or even at Walmart!

7. J. Banasiak, A. Bobrowski, M. Lachowicz and Y. Tomilov (Eds.) “Semigroups of Operators: Theory and Applications”, Springer Proceedings in Mathematics & Statistics, Vol. 325, Springer 2020. See e.g. here.

8. A. Bobrowski, “Generators of Markov chains”, Cambridge University Press 2020. Cambridge Studies in Advanced Mathematics 190. See e.g. here.