Association and other forms of positive dependence for Feller evolution systems

E Tu - Theory of Probability & Its Applications, 2021 - SIAM
… results to additive processes, which are timeinhomogeneous Lévy processes, often arising
… additive processes by relaxing “stationary increments” in the definition of a Lévy process. The …

Numerical methods for Stochastic differential equations: two examples

PÉC de Raynal, G Pagès, C Rey - ESAIM: Proceedings and …, 2018 - esaim-proc.org
… ) Feller continuous Markov process when the increments of … prove sub-geometrical ergodicity
of Markov chains. In [12], a … we consider general Feller processes and approximations but …

Markovianity

NC Petroni - Probability and Stochastic Processes for Physicists, 2020 - books.google.com
… of (7.27) is calculated with the Markov chain rule of Proposition 7.4 … Lévy processes that,
however, we will be obliged to neglect. … Our approximated FokkerPlanck equation with constant …

Transition probabilities of Lévy‐type processes: Parametrix construction

F Kühn - Mathematische Nachrichten, 2019 - Wiley Online Library
Lévy-type processes are also known as Feller processes; we … -math-0072 is a rich Feller
process whose symbol q does not … stationary and independent increments and càdlàg sample …

High-frequency Donsker theorems for Lévy measures

R Nickl, M Reiß, J Söhl, M Trabs - Probability Theory and Related Fields, 2016 - Springer
… empirical processes arising from discretely sampled increments of a univariate Lévy process
From the expansion we see that the approximation error \(\Delta _n^{-1}{{\mathrm{{\mathbb {…

Diffusions on a space of interval partitions: construction from marked Lévy processes

N Forman, S Pal, D Rizzolo… - Electronic Journal of …, 2020 - projecteuclid.org
… to natural up-down Markov chains on discrete partitions based … [9] and uniform local time
approximations [17]. We prove Theorem … These diffusions contain the Feller diffusion, which is a …

Extinction rate of continuous state branching processes in critical Lévy environments

V Bansaye, JC Pardo, C Smadi - ESAIM: Probability and Statistics, 2021 - esaim-ps.org
… functionals of Lévy processes. In [11], Böinghoff and Hutzenthaler have studied the Feller
diffusion … That is to say K has stationary and independent increments with c`adl`ag paths. For …

From Markov processes to semimartingales

A Schnurr, S Rickelhoff - Probability Surveys, 2023 - projecteuclid.org
… Rd having stationary and independent increments. In addition, … Lévy processes, namely
(one-dimensional strictly) α-stable … (Tt)t≥0 a Feller semigroup and (Xt)t≥0 a Feller process if the …

On discrete-time semi-Markov processes

A Pachon, F Polito, C Ricciuti - arXiv preprint arXiv:1807.07932, 2018 - arxiv.org
… of the original Markov process, ν is the Lévy measure of the … original process X(n) is a generic
discrete-time Markov chainprocesses studied in this paper are discrete approximation of …

Theory of Exponential Functionals of Lévy Processes

MS Savov - 2017 - sci-gems.math.bas.bg
… where ξ = (ξt)t≥0 is a Lévy process starting from 0 and drifting … Lévy process ξ is a process
with stationary and independent increments and its law is characterized completely by its Lévy