Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics / Najlacnejšie knihy
Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics

Kód: 09489428

Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics

Autor Takahiro Nemoto

This thesis describes a method to control rare events in non-equilibrium systems, by applying physical forces to those systems, but without relying on numerical simulation techniques, such as copying rare events. In order to study ... celý popis

110.67


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Anotácia knihy

This thesis describes a method to control rare events in non-equilibrium systems, by applying physical forces to those systems, but without relying on numerical simulation techniques, such as copying rare events. In order to study this method, the book draws on the mathematical structure of equilibrium statistical mechanics, which connects large deviation functions with experimentally measureable thermodynamic functions. Referring this specific structure as the "phenomenological structure for large deviation principle", the book subsequently extends it to time-series statistics that can be used to describe non-equilibrium physics.§§The book features pedagogical explanations, and also shows many open problems to which the proposed method can only be applied to a limited extent. Beyond highlighting these challenging problems as a point of departure, it especially offers an effective means of description for rare events, which could become the next paradigm of non-equilibrium statistical mechanics§

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Zaradenie knihy Knihy po anglicky Mathematics & science Physics Thermodynamics & heat

110.67

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