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Verfasst von:Nemoto, Takahiro   i
Titel:Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics
Titelzusatz:A method to control the rare events in non-equilibrium systems
Verf.angabe:by Takahiro Nemoto
Ausgabe:1st ed. 2016
Verlagsort:Singapore ; Heidelberg ; New York ; Dordrecht ; London
Verlag:Springer
Jahr:2016
Umfang:Online-Ressource (XIII, 127 p. 35 illus., 7 illus. in color, online resource)
Gesamttitel/Reihe:Springer Theses, Recognizing Outstanding Ph.D. Research
 SpringerLink : Bücher
ISBN:978-981-287-811-3
Abstract: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.
DOI:doi:10.1007/978-981-287-811-3
URL:Volltext ; Resolving-System: https://doi.org/10.1007/978-981-287-811-3
 Volltext: http://dx.doi.org/10.1007/978-981-287-811-3
 Cover ; Verlag: https://swbplus.bsz-bw.de/bsz455196869cov.jpg
 Inhaltstext: https://zbmath.org/?q=an:1375.82006
 DOI: https://doi.org/10.1007/978-981-287-811-3
Schlagwörter:(s)Große Abweichung   i / (s)Zeitreihenanalyse   i / (s)Seltenes Ereignis   i / (s)Nichtgleichgewicht   i
Datenträger:Online-Ressource
Dokumenttyp:Hochschulschrift
Sprache:eng
Reproduktion:Druckausg
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe: Nemoto, Takahiro: Phenomenological structure for the large deviation principle in time-series statistics. - Singapore : Springer, 2016. - xiii, 127 Seiten
K10plus-PPN:1654332321
 
 
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