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Extrapolation and interpolation of quasi-linear operators on martingales

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TLDR
In this paper, the authors present a set of apps that can be used to find the most relevant information about a person walking in a certain environment, such as a city, a walk, a drive, or a walk.
Abstract
5. T h e ope ra to r s S a n d s . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275 Some app l i c a t i ons of S a n d s . . . . . . . . . . . . . . . . . . . . . . . . 281 R a n d o m walk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 H a a r a n d W a l s h ser ies . . . . . . . . . . . . . . . . . . . . . . . . . . 284 Loca l conve rgence of m a r t i n g a l e t r a n s f o r m s . . . . . . . . . . . . . . . . . 285

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Foundations of modern probability

TL;DR: In this article, the authors discuss the relationship between Markov Processes and Ergodic properties of Markov processes and their relation with PDEs and potential theory. But their main focus is on the convergence of random processes, measures, and sets.
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Problems in harmonic analysis related to curvature

TL;DR: In this article, the problem of considering other sets besides balls and cubes for the Lebesgue measure of B(e9 x) has been studied and an exposition of recent developments in the literature is given.
Book

Martingale Hardy Spaces and Their Applications in Fourier Analysis

Ferenc Weisz
TL;DR: Inequalities for Vilenkin-fourier coefficients for Martingale Hardy spaces have been found in this article, where they show that the coefficients are equal to the inverse.
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Reinforced random walk

TL;DR: In this article, it was shown that the probability that a nearest neighbor random motion oscillates between two adjacent integers is proportional to the weights at timen of the intervals (i, i−1,i�n−1 ori n+1).
References
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Stochastic processes

J. L. Doob, +1 more
Book

Topics in Harmonic Analysis Related to the Littlewood-Paley Theory.

TL;DR: In this article, an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups is presented. But this work is restricted to the case of second order elliptic operators.