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When exponential tightness fails, but assuming X locally compact regular (not necessarily Hausdorff) and A an algebra of continuous functions vanishing at infinity which separates
Under adequate assumptions on the initial data, the space correlations of the noise and for some saturated nonlinearities, we prove sample path large deviations and support results in
Indeed, using estimates for the so-called tan points of the simple random walk, introduced in [1] and subse- quently used in [7, 8], it is possible to prove that, when d ≥ 2, the
For a much-studied model of random copolymer at a selective interface we prove that the slope of the critical curve in the weak-disorder limit is strictly smaller than 1, which is
Bally and Pardoux have studied in [ 1 ] the regularity of the law of the solution of Equation (1) with Neumann boundary con- ditions on [0, 1], assuming that the coefficients b ( u
We prove the law of large numbers for U–statistics whose underlying sequence of random variables satisfies an absolute regularity condition ( β –mixing condition) under suboptimal
We present a short probabilistic proof of a weak convergence result for the number of cuts needed to isolate the root of a random recursive tree.. The proof is based on a
The key point is to exploit the strong parallel between the new technique introduced by Bass and Perkins [2] to prove uniqueness of the martingale problem in the framework
