{"product_id":"brownian-motion-and-its-applications-to-mathematical-analysis-ecole-dete-de-probabilites-de-saint-flour-xliii-2013-von-krzysztof-burdzy","title":"Brownian Motion and its Applications to Mathematical Analysis","description":"\n                                \n                \u003cp\u003eThese 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.\u003c\/p\u003e\n                                \n                \u003cp\u003eThe 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.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319043937\"\u003e\u003ch3\u003eÉcole d'Été de Probabilités de Saint-Flour XLIII – 2013\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783319043937","offer_id":39420114796637,"sku":"9783319043937","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6c235aab-18f7-426a-99b2-187b90afb7b9.jpg?v=1772172423","url":"https:\/\/shop.autorenwelt.de\/products\/brownian-motion-and-its-applications-to-mathematical-analysis-ecole-dete-de-probabilites-de-saint-flour-xliii-2013-von-krzysztof-burdzy","provider":"Autorenwelt Shop","version":"1.0","type":"link"}