Spatially independent Martingales, intersections, and applications /

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Shmerkin, Pablo (Author), Suomala, Ville, 1980- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1195.
Subjects:
Random measures.
Martingales (Mathematics)
Stochastic processes.
Intersection theory (Mathematics)
Mesures aléatoires.
Martingales (Mathématiques)
Processus stochastiques.
Théorie des intersections.
Procesos estocásticos
Intersección, Teoría de la
Random measures
Stochastic processes
Online Access:Texto completo
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.

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