Spatially independent Martingales, intersections, and applications /

Spatially independent Martingales, intersections, and applications /

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Bibliographic Details
Author / Creator:	Shmerkin, Pablo, author.
Imprint:	Providence, RI : American Mathematical Society, [2018]
Description:	v, 102 pages : illustrations ; 26 cm.
Language:	English
Series:	Memoirs of the American Mathematical Society, 0065-9266 ; volume 251, number 1195 Memoirs of the American Mathematical Society ; no. 1195.
Subject:	Random measures. Martingales (Mathematics) Stochastic processes. Intersection theory (Mathematics) Intersection theory (Mathematics) Martingales (Mathematics) Random measures. Stochastic processes.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11443814

Hidden Bibliographic Details
Other authors / contributors:	Suomala, Ville, 1980- author.
ISBN:	9781470426880 1470426889
Notes:	Includes bibliographical references.

Table of Contents:

Introduction
Notation
The setting
Holder continuity of intersections
Classes of spatially independent martingales
A geometric criterion for Holder continuity
Affine intersections and projections
Fractal boundaries and intersections with algebraic curves
Intersections with self-similar sets and measures
Dimension of projectiojns: applications of theorem 4.4.
Upper bounds on dimensions of intersections
Lower bounds for the dimension of intersections, and dimension conservation
Products and convolutions of spatially independent martingales
Applications to Fourier decay and restriction.