{"product_id":"metastability-a-potential-theoretic-approach-9783319796765","title":"Metastability: A Potential-Theoretic Approach","description":"\u003cp\u003e • Author(s): Anton Bovier\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eMetastability is 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. This monograph provides a concise presentation of mathematical approach to metastability 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 focus on the precise analysis of the respective hitting probabilities and hitting times of these sets.\u003c\/p\u003e\u003cp\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-hopping dynamics and probabilistic cellular automata, unveiling the common universal features of these systems with respect to their metastable behaviour.\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274716438679,"sku":"9783319796765","price":10283.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319796765.webp?v=1769280753","url":"https:\/\/atlanticbooks.com\/products\/metastability-a-potential-theoretic-approach-9783319796765","provider":"Atlantic Books","version":"1.0","type":"link"}