This survey concerns the study of quasi-stationary distributions with a specific focus on
models derived from ecology and population dynamics. We are concerned with the long …

We propose a mathematical analysis of a well-known numerical approach used in molecular
dynamics to efficiently sample a coarse-grained description of the original trajectory (in …

Molecular dynamics (MD)–the numerical integration of atomistic equations of motion–is a
workhorse of computational materials science. Indeed, MD can in principle be used to obtain …

We are interested in the connection between a metastable continuous state space Markov
process (satisfying eg the Langevin or overdamped Langevin equation) and a jump Markov …

We establish a general result on the existence and uniqueness of a quasi-stationary
distribution D of a strongly Feller Markov process. Xt; t 0/killed when it exits a domain D …

Unlike traditional books presenting stochastic processes in an academic way, this book
includes concrete applications that students will find interesting such as gambling, finance …

Quasi-stationary distributions have been used to model the long-term behaviour of
stochastic systems which in some sense terminate, but appear to be stationary over any …

As a continuation of a recent paper, dealing with finite Markov chains, this paper proposes
and analyzes a recursive algorithm for the approximation of the quasi-stationary distribution …

We consider a strong Markov process with killing and prove an approximation method for
the distribution of the process conditioned not to be killed when it is observed. The method is …

Bibliography Page 1 Bibliography [1] Abadov, ZA (1984) Asymptotical Expansions with Explicit
Estimation of Constants for Exponential Moments of Sums of Random Variables Defined on a …