{"product_id":"9783319043937","title":"Brownian Motion and its Applications to Mathematical Analysis : Ecole d'Ete de Probabilites de Saint-Flour XLIII - 2013 by Krzysztof Burdzy","description":"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.\u003cbr\u003eBinding: Paperback \/ softback","brand":"Gardners","offers":[{"title":"Default Title","offer_id":56310032990581,"sku":"9783319043937","price":44.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0612\/7193\/3106\/files\/9783319043937.jpg?v=1762814329","url":"https:\/\/backstory.london\/products\/9783319043937","provider":"Backstory","version":"1.0","type":"link"}