A general theorem on generation of moments-preserving cosine families by Laplace operators in C[0,1]

A random evolution related to a Fisher-Wright-Moran model with mutation, recombination and drift

article

A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups

article by Jacek Banasiak & Adam Bobrowski published 15 October 2014 in Journal of Evolution Equations

An Operator Semigroup in Mathematical Genetics

article

Asymptotic behavior of a Moran model with mutations, drift and recombination among multiple loci.

scientific article published on 11 November 2009

Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression

article

Asymptotic behavior of joint distributions of characteristics of a pair of randomly chosen individuals in discrete-time Fisher-Wright models with mutations and drift.

scientific article published in December 2004

Boundary Conditions in Evolutionary Equations in Biology

Concatenation of Nonhonest Feller Processes, Exit Laws, and Limit Theorems on Graphs

scientific article published in 2023

Convergence of One-Parameter Operator Semigroups

Correction to “Degenerate convergence of semigroups related to a model of stochastic gene expression”

article

Cosine families and semigroups really differ

article published in 2013

Degenerate Convergence of Semigroups Related to a Model of Stochastic Gene Expression

article

Degenerate convergence of semigroups

Emergence of Freidlin–Wentzell’s transmission conditions as a result of a singular perturbation of a semigroup

article

From Diffusions on Graphs to Markov Chains via Asymptotic State Lumping

Functional Analysis for Probability and Stochastic Processes

article published in 2005

Generation of cosine families via Lord Kelvin’s method of images

article by Adam Bobrowski published 24 March 2010 in Journal of Evolution Equations

Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system

Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space

Lord Kelvin’s method of images in semigroup theory

article by Adam Bobrowski published 8 June 2010 in Semigroup Forum

Non-homogeneous infinite sites model under demographic change: mathematical description and asymptotic behavior of pairwise distributions

scientific article published in February 2002

Non-homogeneous infinitely many sites discrete-time model with exact coalescent

On Hille-type approximation of degenerate semigroups of operators

On Limitations and Insufficiency of the Trotter-Kato Theorem

On a semigroup generated by a convex combination of two Feller generators

On a somewhat forgotten condition of Hasegawa and on Blackwell’s example

On close-to-scalar one-parameter cosine families

On convergence and asymptotic behaviour of semigroups of operators

scientific article published on 19 October 2020

On moments-preserving cosine families and semigroups in C[0, 1]

On shape preserving semigroups

Semigroups generated by convex combinations of several Feller generators in models of mathematical biology

Singular perturbations involving fast diffusion

Time to the MRCA of a sample in a Wright-Fisher model with variable population size

scientific article published on 6 October 2011

Two theorems on singularly perturbed semigroups with applications to models of applied mathematics