{"product_id":"9783319796765","title":"Grundlehren der mathematischen Wissenschaften: A Potential-Theoretic Approach","description":"\u003ch1\u003eGrundlehren der mathematischen Wissenschaften: A Potential-Theoretic Approach\u003c\/h1\u003e \u003ch2\u003eBovier, Anton; den Hollander, Frank\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise, based on potential theory of reversible Markov processes. \u003c\/p\u003e\u003cp\u003eThe authors shed new light on the metastability phenomenon as a sequence of visits of the path of the process to different metastable sets, and focuses on the precise analysis of the respective hitting probabilities and hitting times of these sets.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe theory is illustrated with many examples, ranging from finite-state Markov chains, finite-dimensional diffusions and stochastic partial differential equations, via mean-field dynamics with and without disorder, to stochastic spin-flip and particle-hop dynamics and probabilistic cellular automata, unveiling the common universal features of these systems with respect to their metastable behaviour. \u003cp\u003e\u003c\/p\u003e\u003cp\u003e      \u003c\/p\u003e\u003cp\u003eThe monograph will serve both as comprehensive introduction and as reference for graduate students and researchers interested in metastability.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-03-31\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319796765\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-24777-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 581\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45379236003980,"sku":"9783319796765","price":143.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319796765.jpg?v=1775731816","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319796765","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}