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5 papers · 2 filters
Exponential Convergence Rates of Second Quantization Semigroups and Applications
Changsong Deng, Feng-Yu Wang
Exponential convergence rates in the -tail norm and entropy are characterized for the second quantization semigroups by using the corresponding base Dirichlet form. This suppl…
Harnack Inequalities for Functional SDEs with Multiplicative Noise and Applications
Feng-Yu Wang, Chenggui Yuan
By constructing a new coupling, the log-Harnack inequality is established for the functional solution of a delay stochastic differential equation with multiplicative noise. As appl…
Gradient Estimate for Ornstein-Uhlenbeck Jump Processes
Feng-Yu Wang
By using absolutely continuous lower bounds of the Lévy measure, explicit gradient estimates are derived for the semigroup of the corresponding Lévy process with a linear drift. A…
Spectral gap and logarithmic Sobolev constant for continuous spin systems
Mu-Fa Chen
The aim of this paper is to study the spectral gap and the logarithmic Sobolev constant for continuous spin systems. A simple but general result for estimating the spectral gap of…
Branching structure for the transient (1;R)-random walk in random environment and its applications
Wenming Hong, Lin Zhang
An intrinsic multitype branching structure within the transient (1;R)-RWRE is revealed. The branching structure enables us to specify the density of the absolutely continuous invar…