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TitleStochastic Climate Models [electronic resource] / edited by Peter Imkeller, Jin-Song von Storch
ImprintBasel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2001
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Descript XXVII, 398 p. online resource


The proceedings of the summer 1999 Chorin workshop on stochastic climate models captures well the spirit of enthusiasm of the workshop participants engaged in research in this exciting field. It is amazing that nearly 25 years after the formal theory of natural climate variability generated by quasi-white-noise weather forcing was developed, and almost 35 years after J . M. Mitchell first suggested this mechanism as the origin of sea-surf ace-temperature fluctuations and climate variability, there have arisen so many fresh perspectives and new applications of the theory. The workshop has succeeded admirably in highยญ lighting these new aspects while clarifying the position of stochastic climate modelling within the general framework of climate research and mathematical modelling. The organizers can be congratulated in bringing together leading researchers covering a wide range of scientific expertise, from mathematicians concerned with the derivation of stochastic models from first principles, to appยญ lied climate modellers trying to understand the dynamics of the complex climate system. Following the first burst of stochastic modelling papers in the decade from the mid-seventies to the mid-eighties, in which the viability of the concept was demonstrated using relatively simple conceptual models, there was a lull of work in this field. One awaited the development of more sophisticated climate models with which one could carry out realistic quantitative analyses of the implications of stochastic forcing for the global climate system. Now that these models have become widely available, it is natural that one is witnessing a resurgence of stochastic modelling investigations


1 The Hierarchy of Climate Models -- A gallery of simple models from climate physics -- Simple climate models -- Complex climate modelsโ{128}{153} tools for studying the origin of stochasticity in the climate system -- Some mathematical aspects of the GCMs -- 2 The Emergence of Randomness: Chaos, Averaging, Limit Theorems -- Hasselmannโ{128}{153}s program revisited: the analysis of stochasticity in deterministic climate models -- Thermodynamic formalism, large deviation, and multifractals -- Averaging and climate models -- Dynamical systems with time scale separation: averaging, stochastic modelling, and central limit theorems -- 3 Tools and Methods: SDE, Dynamical Systems, SPDE, Multiscale Techniques -- Energy balance models โ{128}{148} viewed from stochastic dynamics -- Exponential stability of the quasigeostrophic equation under random perturbations -- A mini course on stochastic partial differential equations -- Hasselmannโ{128}{153}s stochastic climate model viewed from a statistical mechanics perspective -- 4 Reduced Stochastic Models and Particular Techniques -- Constrained stochastic forcing -- Stochastic resonance and noise-induced phase coherence -- Stochastic confinement of Rossby waves by fluctuating eastward flows -- Some mathematical remarks concerning the localization of planetary waves in a stochastic background flow -- Rossby waves in a stochastically fluctuating medium -- Passive tracer transport in stochastic flows

Mathematics Atmospheric sciences Mathematical analysis Analysis (Mathematics) Probabilities Mathematics Analysis Atmospheric Sciences Probability Theory and Stochastic Processes Mathematics general


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