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Phenomenological Structure for the Large Deviation Principle in Time-Series
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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A Method to Control the Rare Events in Non-Equilibrium Systems Hardback - 2015

by Takahiro Nemoto

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Reader reviews for Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A Method to Control the Rare Events in Non-Equilibrium Systems

From the publisher

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 to this specific structure as the "phenomenological structure for the large deviation principle", the author 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 be applied only 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.

From the rear cover

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 to this specific structure as the "phenomenological structure for the large deviation principle", the author 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 be applied only 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.

Details

  • Title Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A Method to Control the Rare Events in Non-Equilibrium Systems
  • Author Takahiro Nemoto
  • Binding Hardback
  • Pages 127
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2015-11-17
  • ISBN 9789812878106 / 9812878106
  • Weight 0.94 lbs (0.43 kg)
  • Dimensions 9.54 x 6.29 x 0.53 in (24.23 x 15.98 x 1.35 cm)
  • Category Science
  • Dewey Decimal Code 530.15

About the author

Dr. Takahiro Nemoto

Kyoto University

Current affiliation: Ecole normale superieure de Lyon (From 1st of April, 2015)

nemotokyototon@gmail.com"

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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method...
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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method to control the rare events in non-equilibrium systems

by Nemoto, Takahiro (Author)

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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method...
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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method to control the rare events in non-equilibrium systems (Springer Theses)

by Nemoto, Takahiro

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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method...
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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method to control the rare events in non-equilibrium systems (Springer Theses)

by Nemoto, Takahiro

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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method...
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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method to control the rare events in non-equilibrium systems (Springer Theses)

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