Zobrazeno 1 - 10
of 233
pro vyhledávání: '"Renming Song"'
Bernstein functions appear in various fields of mathematics, e.g. probability theory, potential theory, operator theory, functional analysis and complex analysis – often with different definitions and under different names. Among the synonyms are `
Publikováno v:
Journal of the European Mathematical Society (EMS Publishing); 2024, Vol. 26 Issue 6, p2249-2300, 52p
Autor:
Renming Song, Longjie Xie
Publikováno v:
Journal of Differential Equations. 362:266-313
Publikováno v:
Advances in Applied Probability. 55:510-548
Using one-dimensional branching Brownian motion in a periodic environment, we give probabilistic proofs of the asymptotics and uniqueness of pulsating traveling waves of the Fisher–Kolmogorov–Petrovskii–Piskounov (F-KPP) equation in a periodic
Autor:
Yan-Xia Ren1,2 yxren@math.pku.edu.cn, Renming Song1,2 rsong@illinois.edu, Ting Yang1,2 yangt@bit.edu.cn
Publikováno v:
ALEA. Latin American Journal of Probability & Mathematical Statistics. 2022, Vol. 19 Issue 1, p163-208. 46p.
In this paper we study interior potential-theoretic properties of purely discontinuous Markov processes in proper open subsets $D\subset \mathbb{R}^d$. The jump kernels of the processes may be degenerate at the boundary in the sense that they may van
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31b92c236f1217f173895a66ef74e5a5
https://www.bib.irb.hr/1251379
https://www.bib.irb.hr/1251379
Publikováno v:
Potential Analysis. 58:465-528
Motivated by some recent potential theoretic results on subordinate killed L\'evy processes in open subsets of the Euclidean space, we study processes in an open set $D\subset {\mathbb R}^d$ defined via Dirichlet forms with jump kernels of the form $
In this paper we study positive self-similar Markov processes obtained by (partially) resurrecting a strictly $\alpha$-stable process at its first exit time from $(0,\infty)$. We construct those processes by using the Lamperti transform. We explain t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbc8a1a0e914674a1ecb410fa9d53169
http://arxiv.org/abs/2206.06189
http://arxiv.org/abs/2206.06189
In this paper we study the maximal position process of branching Brownian motion in random spatial environment. The random environment is given by a process $\xi = \left(\xi(x)\right)_{x\in\mathbb{R}}$ satisfying certain conditions. We show that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09262b949c1fa029ba17583cbf62be0b
Publikováno v:
Stochastic Processes and their Applications. 130:4358-4391
We consider a critical superprocess { X ; P μ } with general spatial motion and spatially dependent stable branching mechanism with lowest stable index γ 0 > 1 . We first show that, under some conditions, P μ ( | X t | ≠ 0 ) converges to 0 as t