Takahiro Nemoto's Books

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

A method to control the rare events in non-equilibrium systems

By: Takahiro Nemoto

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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: 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 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.

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Page Count

136

Publisher

Springer

Published Date

ISBN 10

9812878114

ISBN 13

9789812878113

Evolution of Manufacturing Systems at Toyota

By: Takahiro Fujimoto

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Evolution of Manufacturing Systems at Toyota

By: Takahiro Fujimoto

This book is intended for manufacturing and engineering professionals and academics.

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391

Publisher

Productivity Press

Published Date

ISBN 10

0195123204

ISBN 13

9780195123203

Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking

By: Takahiro Doi

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Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking

By: Takahiro Doi

This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) – quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored.

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Publisher

Springer

Published Date

ISBN 10

9811065969

ISBN 13

9789811065965

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

A method to control the rare events in non-equilibrium systems

By: Takahiro Nemoto

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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: Takahiro Nemoto

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

136

Publisher

Springer

Published Date

ISBN 10

9812878114

ISBN 13

9789812878113

Book's by Takahiro Nemoto

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

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

Evolution of Manufacturing Systems at Toyota

Evolution of Manufacturing Systems at Toyota

Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking

Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking

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

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

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