{"product_id":"kinetically-constrained-models-ivailo-hartarsky-ebook","title":"Kinetically Constrained Models","description":"Preface.- The models.- Setting and notation.- The Markov processes: kinetically constrained spin models and kinetically constrained lattice gases.- The most studied choices of constraints.- Some useful classification: oriented\/non–oriented models, cooperative\/non–cooperative models.- Motivations from physics.- A crash course on liquid\/glass and jamming transitions.- The quest of the ideal glass transition: models on Bethe lattices and the spiral model.- Kinetically Constrained Spin Models: the basic results.- Ergodicity and connection with bootstrap percolation.- Exponential convergence to equilibrium in L2.- The failure of classic coercive inequalities (logarithmic and modified logarithmic Sobolev constant).- Persistence and exchange times.- Scaling with density of the spectral gap: the case of Friedrickson-Andersen 1f model.- Some open problems.- Kinetically Constrained Spin Models on trees.- A martingale technique to prove positivity of the spectral gap.- Power law scaling at criticality.- An open problem.- The out of equilibrium regime.- An easy perturbative result in one dimension.- Oriented models: East and models on trees.- Non cooperative models.- Some open problems.- Dynamical phase transition.- Activity and its large deviations.- The one dimensional case: finite size effects and surface tension.- Open problems.- The East model.- Combinatorics.- Spectral gap and mixing time.- Time scale separation.- Front motion and cut-off.- Plateau behavior, aging and scaling limits.- The generalized East process in higher dimensions.- An open problem: Aldous Diaconis conjecture.- Kinetically Constrained Lattice Gases.- Ergodicity.- Non cooperative models: spectral gap, log-Sobolev, tagged particle and hydrodynamic limit.- Cooperative models: spectral gap and polynomial decay to equilibrium.","brand":"Ivailo Hartarsky","offers":[{"title":"Default Title","offer_id":53652379959623,"sku":"9783031931154","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0920\/5455\/2903\/files\/kinetically-constrained-models-ebook-cover.webp?v=1775359861","url":"https:\/\/www.cinebuch.de\/products\/kinetically-constrained-models-ivailo-hartarsky-ebook","provider":"CineBuch","version":"1.0","type":"link"}