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5 papers · 2 filters
Pruning of CRT-sub-trees
Romain Abraham, Jean-François Delmas, Hui He
We study the pruning process developed by Abraham and Delmas (2012) on the discrete Galton-Watson sub-trees of the Lévy tree which are obtained by considering the minimal sub-tree…
Harnack Inequalities for Stochastic (Functional) Differential Equations with Non-Lipschitzian Coefficients
Jinghai Shao, Feng-Yu Wang, Chenggui Yuan
By using coupling arguments, Harnack type inequalities are established for a class of stochastic (functional) differential equations with multiplicative noises and non-Lipschitzian…
Bilateral Hardy-type inequalities
Mu-Fa Chen
This paper studies the Hardy-type inequalities on the intervals (may be infinite) with two weights, either vanishing at two endpoints of the interval or having mean zero. For the f…
Mixed principal eigenvalues in dimension one
Mu-Fa Chen, Ling-Di Wang, Yu-Hui Zhang
This is one of a series of papers exploring the stability speed of one-dimensional stochastic processes. The present paper emphasizes on the principal eigenvalues of elliptic opera…
Strong solutions of jump-type stochastic equations
Zenghu Li, Fei Pu
We establish the existence and uniqueness of strong solutions to some jump-type stochastic equations under non-Lipschitz conditions. The results improve those of Fu and Li (2010) a…