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We consider a stochastic flow driven by a finite-dimensional Brownian motion. We show that almost every realization of such a flow exhibits strong statistical properties such as th...
Abstract: These lecture notes present some new concentration inequalities for Feynman-Kac particle processes. We analyze different types of stochastic particle models, including particle profile occup...
Abstract: We provide a new proof for regularity of affine processes on general state spaces by methods from the theory of Markovian semimartingales. On the way to this result we also show that the def...
Based on the exact solution of the eigenvalue problem for the Uq[sl(2|1)] vertex model built from alternating 3-dimensional fundamental and dual representations by means of the algebraic Bethe ansat...
We consider the interlacement Poisson point process on the space of doubly-infinite Zd-valued trajectories modulo time shift, tending to infinity at positive and negative infinite times. The set of v...
We prove the existence of a local time, the continuity of the local time about t, and the regular property for a.e. x ∈ R of a Ornstein-Uhlenbeck type {Xt, t ∈ R+} driven by a general L´evy proc...
Quasi-random graphs can be informally described as graphs whose edge distribution closely resembles that of a truly random graph of the same edge density. Recently, Shapira and Yuster proved the fol...

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