Spatially independent Martingales, intersections, and applications /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Shmerkin, Pablo (Autor), Suomala, Ville, 1980- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1195.
Temas:
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
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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