000			02158 a2200349 4500
999			_c53558 _d53558
008			200922b ||||| |||| 00| 0 eng d
020			_a9783319796765
082			_a519.233 _bBOV
100			_aBovier, Anton
245			_aMetastability: a potential theoretic approach
260			_bSpringer, _c2015. _aCham:
300			_axxi, 581 p.: ill.; _bpb; _c24 cm.
365			_aEURO _b109.99
440			_aGrundlehren der mathematischen Wissenschaften; v. 351.
504			_aIncludes bibliographical references and index.
520			_aMetastability 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. The 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. The 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. The monograph will serve both as comprehensive introduction and as reference for graduate students and researchers interested in metastability.
650			_aMathematics
650			_aPhysics
650			_aProbabilities
650			_aMarkov processes
650			_aPotential theory
650			_aLarge deviations
650			_aMetastability
650			_aDiscrete Reversible Diffusions
650			_aDifferential Equations
650			_aStochastic
650			_aGlauber Dynamics
650			_aLattice systems
650			_aTemperatures
700			_aDen Hollander, Frank
942			_2ddc _cTD