{"product_id":"brownian-motion-on-finsler-manifolds-von-christopher-wilke","title":"Brownian Motion on Finsler Manifolds","description":"\u003cp\u003eThe aim of this thesis is to extend the concept of Brownian motion on Riemannian manifolds to the more general Finsler manifolds. We give a reasonable definition of Brownian motion which is very similar to the one in the Riemannian case. However for the proof of existence we use a slightly different but equivalent approach to Brownian motion. Therefore we introduce the Finsler Laplacian in a natural way and apply the Moreau-Yosida approximation and the theory of nonpositively curved metric spaces to construct a global solution to the heat equation on Finsler manifolds. Furthermore we approximate the Finsler structure by a time-dependent Riemannian metric which is induced by a function on the manifold. Aside from that we apply the recently proven existence theorem for Brownian motion on time-dependent Riemannian manifolds.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783639409383\"\u003e\u003ch3\u003eDefinition and Existence\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783639409383","offer_id":39489751089245,"sku":"9783639409383","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/fd622a38-084e-4b91-a41a-fd6e3030293e.jpg?v=1765002706","url":"https:\/\/shop.autorenwelt.de\/en\/products\/brownian-motion-on-finsler-manifolds-von-christopher-wilke","provider":"Autorenwelt Shop","version":"1.0","type":"link"}