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Essays on regular variations in classical and free setup

Mathematics – Probability
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Essential edges in Poisson random hypergraphs

Mathematics – Probability
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Estimate of the moments of the height distribution of the pericenter of a nearly circular orbit

Mathematics – Probability
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Estimate of the probability of a lightning strike to the Galileo probe

Mathematics – Probability
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Estimate of the probability of identifying a star field by means of visual instruments

Mathematics – Probability
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Estimated PDFs of climate system properties including natural and anthropogenic forcings

Mathematics – Probability
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Estimated return periods for Hurricane Katrina

Mathematics – Probability
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Estimates and structure of $α$-harmonic functions

Mathematics – Probability
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Estimates for moments of supremum of reflected fractional Brownian motion

Mathematics – Probability
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Estimates for Norms of Random Polynomials

Mathematics – Probability
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Estimates for the concentration functions in the Littlewood--Offord problem

Mathematics – Probability
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Estimates for the concentration functions of weighted sums of independent random variables

Mathematics – Probability
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Estimates for the density of a nonlinear Landau process

Mathematics – Probability
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Estimates for the ergodic measure and polynomial stability of plane stochastic curve shortening flow

Mathematics – Probability
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Estimates for the rate of strong approximation in Hilbert space

Mathematics – Probability
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Estimates for the strong approximation in multidimensional central limit theorem

Mathematics – Probability
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Estimates of gradient perturbation series

Mathematics – Probability
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Estimates of Green Function for some perturbations of fractional Laplacian

Mathematics – Probability
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Estimates of moments and tails of Gaussian chaoses

Mathematics – Probability
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Estimates of potential kernel and Harnack's inequality for anisotropic fractional Laplacian

Mathematics – Probability
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