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We introduce the concept of a mild solution for the right Hudson-Parthasarathy quantum stochastic differential equation, prove existence and uniqueness results, and show the
We prove the existence and uniqueness of a strong solution of a stochastic differential equation with normal reflection representing the random motion of finitely many globules..
The authors prove that for large class of random Hamiltonians the point process of properly normalized energies restricted to a sparse enough random subset of spin configuration
The purpose of this note is to prove the existence of a non-trivial critical point for the existence of a type of open Lipschitz surface within site percolation on Z d with d ≥ 2..
We consider the maximum of the discrete two dimensional Gaussian free field in a box, and prove the existence of a (dense) deterministic subsequence along which the maximum, centered
In this section we prove the existence of a minimal stopping time which solves the Skorokhod embedding problem for random walk, and make some simple observations which show that
In Section 3 we treat the rele- vant deterministic equations and in Section 4 we prove existence, uniqueness and estimates in terms of the data of the solution of the equation
We consider the optimal mass transportation problem in R d with measurably parameterized marginals under conditions ensuring the existence of a unique optimal transport map.. We prove