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In this paper, we extend the study to the case of negatively dependent random variables and we find out that the asymptotic behavior of precise large deviations is insensitive to
Keywords: Brownian motion with trend, boundary crossing probability, large deviations, exact
Key words: intersection local time, moderate deviations, planar, random walks, large de- viations, Brownian motion, Gagliardo-Nirenberg, law of the iterated logarithm.. AMS 2000
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
Using the high moment method and the Feynman-Kac semigroup technique, we obtain moder- ate deviations and laws of the iterated logarithm for the volume of the intersections of two
Still in the Gaussian case, [13] derived upper bounds of large deviations type for the spectral measure of band matrices, including certain sample covariance matrices.. Her
Keywords: Hydrodynamic scaling limit, Ulam’s problem, Hammersley’s process nonlinear conservation law, the Burgers equation, the Lax formula.. Address: Department of Mathematics,
We emphasise that the scaling limit of the kinetic prudent walk seems to be different from the scaling limit of the uniform prudent walk studied in Combinatorics... The inset is
