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47 papers · 1 filter
Central limit theorem for stochastic nonlinear wave equation with pure-jump Lévy white noise
Raluca M. Balan, Guangqu Zheng
In this paper, we study the random field solution to the stochastic nonlinear wave equation (SNLW) with constant initial conditions and multiplicative noise , where th…
Perturbation Analysis of Markov Chain Monte Carlo for Graphical Models
Na Lin, Yuanyuan Liu, Aaron Smith
The basic question in perturbation analysis of Markov chains is: how do small changes in the transition kernels of Markov chains translate to chains in their stationary distributio…
Stochastic wave equation with heavy-tailed noise: Uniqueness of solutions and past light-cone property
Juan J. Jiménez
In this article, we study the stochastic wave equation in spatial dimensions with multiplicative Lévy noise that can have infinite -th moments. Using the past light-co…
Limit distributions of branching Markov chains
Vadim A. Kaimanovich, Wolfgang Woess
We study branching Markov chains on a countable state space (space of types) , with the focus on the qualitative aspects of the limit behaviour of the evolving empiric…
On spectral distribution of sample covariance matrices from large dimensional and large -fold tensor products
Benoît Collins, Jianfeng Yao, Wangjun Yuan
We study the eigenvalue distributions for sums of independent rank-one -fold tensor products of large -dimensional vectors. Previous results in the literature assume that $k=…
Stochastic wave equation with Lévy white noise
Raluca M. Balan
In this article, we study the stochastic wave equation on the entire space , driven by a space-time Lévy white noise with possibly infinite variance (such as the -…