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Více informací o knize Brownian Motion and its Applications to Mathematical Analysis

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Anotace knihy

These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical tool which can be used to prove theorems in "deterministic" fields of mathematics.§The notes include a brief review of Brownian motion and a section on probabilistic proofs of classical theorems in analysis. The bulk of the notes are devoted to recent (post-1990) applications of stochastic analysis to Neumann eigenfunctions, Neumann heat kernel and the heat equation in time-dependent domains.§

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Brownian Motion and its Applications to Mathematical Analysis
• Podnázev: Ecole d'Ete de Probabilites de Saint-Flour XLIII - 2013
• Autor: Krzysztof Burdzy
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 137
• EAN: 9783319043937
• ISBN: 3319043935
• ID: 05266900
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 244 g
• Rozměry: 234 × 157 × 9 mm
• Datum vydání: 20. February 2014

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