We provide a systematic study of the notion of duality of Markov processes with respect to a
function. We discuss the relation of this notion with duality with respect to a measure as …

We consider an opportunistic content sharing system designed to store and distribute local
spatio-temporal “floating” information in uncoordinated P2P fashion relying solely on the …

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 …

The classical Bakry-Émery calculus is extended to study, for degenerated (non-elliptic, non-
reversible, or non-diffusive) Markov processes, questions such as hypoellipticity …

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 …

The cutoff phenomenon describes a case where a Markov chain exhibits a sharp transition
in its convergence to stationarity. Diaconis [Proc Natl Acad Sci USA 93 (4): 1659–1664 …

A well-known theorem usually attributed to Keilson states that, for an irreducible continuous-
time birth-and-death chain on the nonnegative integers and any d, the passage time from …

An (upward) skip-free Markov chain with the set of nonnegative integers as state space is a
chain for which upward jumps may be only of unit size; there is no restriction on downward …

We consider a stochastic version of the well-known Blotto game, called the gladiator game.
In this zero-sum allocation game two teams of gladiators engage in a sequence of one-on …

Interweaving relations are introduced and studied here in a general Markovian setting as a
strengthening of usual intertwining relations between semigroups, obtained by adding a …