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Phenomenological structure for the l...

Nemoto, Takahiro.

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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 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Phenomenological structure for the large deviation principle in time-series statistics/ by Takahiro Nemoto.
Reminder of title:	a method to control the rare events in non-equilibrium systems /
Author:	Nemoto, Takahiro.
Published:	Singapore :Springer Singapore : : 2016.,
Description:	xiii, 127 p. :ill., digital ;24 cm.
[NT 15003449]:	Phenomenological structure for the large deviation principle -- Iterative measurement-feedback procedure for large deviation statistics -- Common scaling functions in dynamical and quantum phase transitions -- van Zon-Cohen singularity and a negative inverse temperature -- Conclusions and future perspectives.
Contained By:	Springer eBooks
Subject:	Time-series analysis. -
Online resource:	http://dx.doi.org/10.1007/978-981-287-811-3
ISBN:	9789812878113$q(electronic bk.)

Phenomenological structure for the large deviation principle in time-series statistics = a method to control the rare events in non-equilibrium systems /
Nemoto, Takahiro.

Phenomenological structure for the large deviation principle in time-series statisticsa method to control the rare events in non-equilibrium systems /[electronic resource] :by Takahiro Nemoto. - Singapore :Springer Singapore :2016. - xiii, 127 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Phenomenological structure for the large deviation principle -- Iterative measurement-feedback procedure for large deviation statistics -- Common scaling functions in dynamical and quantum phase transitions -- van Zon-Cohen singularity and a negative inverse temperature -- Conclusions and future perspectives.

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.

ISBN: 9789812878113$q(electronic bk.)

Standard No.: 10.1007/978-981-287-811-3doiSubjects--Topical Terms:

532530
Time-series analysis.

LC Class. No.: QA280

Dewey Class. No.: 519.55

Phenomenological structure for the large deviation principle in time-series statistics = a method to control the rare events in non-equilibrium systems /
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100 1 $a Nemoto, Takahiro. $3 2180619
245 1 0 $a Phenomenological structure for the large deviation principle in time-series statistics $h [electronic resource] : $b a method to control the rare events in non-equilibrium systems / $c by Takahiro Nemoto.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2016.
300 $a xiii, 127 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5053
505 0 $a Phenomenological structure for the large deviation principle -- Iterative measurement-feedback procedure for large deviation statistics -- Common scaling functions in dynamical and quantum phase transitions -- van Zon-Cohen singularity and a negative inverse temperature -- Conclusions and future perspectives.
520 $a 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.
650 0 $a Time-series analysis. $3 532530
650 0 $a Large deviations. $3 646454
650 1 4 $a Physics. $3 516296
650 2 4 $a Statistical Physics, Dynamical Systems and Complexity. $3 1066325
650 2 4 $a Thermodynamics. $3 517304
650 2 4 $a Mathematical Physics. $3 1542352
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830 0 $a Springer theses. $3 1314442
856 4 0 $u http://dx.doi.org/10.1007/978-981-287-811-3
950 $a Physics and Astronomy (Springer-11651)