Adam Bobrowski Libri

Focusing on the intersection of probability, stochastic processes, and functional analysis, this text offers a comprehensive introduction to essential concepts in functional analysis tailored for students. It covers key topics such as Hilbert and Banach spaces, weak topologies, and Banach algebras, alongside the theory of semigroups of bounded linear operators. The inclusion of numerous examples and exercises enhances its suitability for both classroom use and independent study, making complex ideas more accessible to learners.

Focusing on the intersection of functional analysis and probability, this volume covers essential topics such as Hilbert and Banach spaces, weak topologies, Banach algebras, and semigroups of bounded linear operators. It is tailored for students studying probability and stochastic processes, offering a blend of theory and practical examples. With a variety of exercises included, it serves as both a comprehensive course textbook and a resource for self-study, making complex concepts more accessible.

Focusing on the classical theory of convergence of semigroups, this book explores its applications across pure and applied mathematics, particularly in mathematical biology. It provides real-world examples that introduce biological concepts in an accessible manner. With numerous short chapters, readers can easily navigate topics of interest, while the inclusion of 160 end-of-chapter exercises allows for self-assessment of comprehension. The work also features new results related to various biological phenomena, making it a valuable reference for students and researchers alike.

This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.