In this work we develop an original and thorough analysis of the (non)-smoothness
properties of the semigroups, and their heat kernels, associated to a large class of …

In this paper, conditions for transience, recurrence, ergodicity and strong, subexponential
(polynomial) and exponential ergodicity of a class of Feller processes are derived. The …

Quasi-compactness criterion for strong Feller kernels with an application to quasi-stationary
distributions Page 1 HAL Id: hal-03640205 https://hal.science/hal-03640205 Preprint submitted …

In this article, we consider the problem of periodic homogenization of a Feller process
generated by a pseudo-differential operator, the so-called Lévy-type process. Under the …

In the paper we prove a lower bound for subsolutions of the integro-differential equation:− A
u+ cu= 0 in a domain D. It states that there exists a Borel function ψ, strictly positive on D …

In this paper, we study weak and strong transience of a class of Feller processes associated
with pseudo-differential operators, the so-called Lévy-type processes. As a main result, we …

We prove smoothing properties of nonlocal transition semigroups associated to a class of
stochastic differential equations (SDE) in Rd driven by additive pure-jump Lévy noise. In …

In the nonzero-sum setting, we establish a connection between Nash equilibria in games of
optimal stopping (Dynkin games) and generalized Nash equilibrium problems. In the Dynkin …

We present a sufficient condition for fractional Laplacian with gradient perturbation to
generate a sub-Markovian C 0-semigroup on L^ 1 (R^ d, dx). The condition also yields the …

The central topic of this thesis is the influence of stability properties of continuous time
Markov processes on their nonparametric statistical analysis. In particular sup-norm …