{"product_id":"time-changes-of-the-brownian-motion-poincare-inequality-heat-kernel-estimate-and-protodistance-9781470436209","title":"Time Changes of the Brownian Motion Poincare","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn this paper, time changes of the Brownian motions on generalized Sierpinski carpets including $n$-dimensional cube $[0, 1]^n$ are studied. Intuitively time change corresponds to alteration to density of the medium where the heat flows.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eGeneralized Sierpinski carpets\u003c\/li\u003e\n\u003cli\u003eStanding assumptions and notations\u003c\/li\u003e\n\u003cli\u003eGauge function\u003c\/li\u003e\n\u003cli\u003eThe Brownian motion and the Green function\u003c\/li\u003e\n\u003cli\u003eTime change of the Brownian motion\u003c\/li\u003e\n\u003cli\u003eScaling of the Green function\u003c\/li\u003e\n\u003cli\u003eResolvents\u003c\/li\u003e\n\u003cli\u003ePoincare inequality\u003c\/li\u003e\n\u003cli\u003eHeat kernel, existence and continuity\u003c\/li\u003e\n\u003cli\u003eMeasures having weak exponential decay\u003c\/li\u003e\n\u003cli\u003eProtodistance and diagonal lower estimate of heat kernel\u003c\/li\u003e\n\u003cli\u003eProof of Theorem 1.1\u003c\/li\u003e\n\u003cli\u003eRandom measures having weak exponential decay\u003c\/li\u003e\n\u003cli\u003eVolume doubling measure and sub-Gaussian heat kernel estimate\u003c\/li\u003e\n\u003cli\u003eExamples\u003c\/li\u003e\n\u003cli\u003eConstruction of metrics from gauge function\u003c\/li\u003e\n\u003cli\u003eMetrics and quasimetrics\u003c\/li\u003e\n\u003cli\u003eProtodistance and the volume doubling property\u003c\/li\u003e\n\u003cli\u003eUpper estimate of $p_\\mu (t, x, y)$\u003c\/li\u003e\n\u003cli\u003eLower estimate of $p_\\mu (t, x, y)$\u003c\/li\u003e\n\u003cli\u003eNon existence of super-Gaussian heat kernel behavior\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eList of notations\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041331286359,"sku":"9781470436209","price":64.8,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470436209.jpg?v=1740182575","url":"https:\/\/bookcurl.com\/products\/time-changes-of-the-brownian-motion-poincare-inequality-heat-kernel-estimate-and-protodistance-9781470436209","provider":"Book Curl","version":"1.0","type":"link"}