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Then every column of B corresponding to e or its parallel arcs is the zero vector, and the submatrix consisting of the remaining columns of B is the incidence matrix of the digraph D
A characteristic function of a quadratic Wiener functional is a key object to investigate the principle of stationary phase on the Wiener space, and its exponential decay
Theorem 1 of [5] gives concentration bounds for a class of infinitely divisible laws with finite exponential moments, and in the compound Poisson case it reduces precisely to (5),
This process has values which are trajectories of standard Poisson process stopped at some random finite lifetime with Brownian evolution.. We use this Poisson snake to construct
Keywords stable regenerative set, Bochner’s subordination, Bolthausen-Sznitman coalescent, Poisson covering, zero sets of Bessel processes, two parameter Poisson-Dirichlet
In particular, on the space P (ID) of laws of stochastic processes with trajectories in ID the topology S induces a sequential topology for which both the direct and the
The extension of sublinearity on average to pointwise sublinearity is the main novel part of the proof which, unfortunately, still makes non-trivial use of the “heat-kernel
Keywords: Martingale, submartingale, distribution function, tail inequality, differential subordina- tion, conditional differential
