Phenomenological Structure For The Large Deviation Principle In Time Series Statistics

Author : Takahiro Nemoto
Publisher : Springer
Page : 127 pages
File Size : 48,8 Mb
Release : 2015-11-06
Category : Science
ISBN : 9789812878113

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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics by Takahiro Nemoto Pdf

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.

Author : K.D. Elworthy
Publisher : Routledge
Page : 984 pages
File Size : 41,9 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351455213

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Differential Equations by K.D. Elworthy Pdf

Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems.

Author : Frank Hollander
Publisher : Amer Mathematical Society
Page : 143 pages
File Size : 46,6 Mb
Release : 2000
Category : Mathematics
ISBN : 0821819895

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Large Deviations by Frank Hollander Pdf

This volume offers an introduction to large deviations. It is divided into two parts: theory and applications. Basic large deviation theorems are presented for i.i.d. sequences, Markov sequences, and sequences with moderate dependence. The rate function is computed explicitly. The theory is explained without too much emphasis on technicalities. Also included is an outline of general definitions and theorems. The goal is to expose the unified theme that gives large deviation theoryits overall structure, which can be made to work in many concrete cases. The section on applications focuses on recent work in statistical physics and random media.This book contains 60 exercises (with solutions) that should elucidate the content and engage the reader. Prerequisites for the book are a strong background in probability and analysis and some knowledge of statistical physics. It would make an excellent textbook for a special topics course in large deviations.

Author : John Barkley Rosser
Publisher : Unknown
Page : 520 pages
File Size : 41,9 Mb
Release : 2004
Category : Complexity (Philosophy)
ISBN : UOM:39015059117161

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Complexity in Economics: Macroeconomics, financial markets, and international economics by John Barkley Rosser Pdf

Author : David R. Brillinger
Publisher : Unknown
Page : 522 pages
File Size : 46,9 Mb
Release : 1975
Category : Mathematics
ISBN : UOM:39015012024173

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Time Series: Data Analysis and Theory by David R. Brillinger Pdf

Intended for students and researchers, this text employs basic techniques of univariate and multivariate statistics for the analysis of time series and signals. It provides a broad collection of theorems, placing the techniques on firm theoretical ground. The techniques, which are illustrated by data analyses, are discussed in both a heuristic and a formal manner, making the book useful for both the applied and the theoretical worker. An extensive set of original exercises is included.

Author : M. H. Quenouille
Publisher : Unknown
Page : 122 pages
File Size : 54,9 Mb
Release : 1957
Category : Mathematical statistics
ISBN : IND:32000009055981

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The Analysis of Multiple Time-series by M. H. Quenouille Pdf

Author : Anonim
Publisher : Unknown
Page : 1174 pages
File Size : 42,5 Mb
Release : 1981
Category : Aeronautics
ISBN : UFL:31262082079996

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Scientific and Technical Aerospace Reports by Anonim Pdf

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Author : Grigoris Pavliotis,Andrew Stuart
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 46,9 Mb
Release : 2008-01-18
Category : Mathematics
ISBN : 9780387738291

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Multiscale Methods by Grigoris Pavliotis,Andrew Stuart Pdf

This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.

Author : American Institute of Chemical Engineers
Publisher : Unknown
Page : 532 pages
File Size : 41,7 Mb
Release : 2000
Category : Chemical engineering
ISBN : UOM:39015049138020

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AIChE Symposium Series by American Institute of Chemical Engineers Pdf

Author : Phil Ashworth
Publisher : Unknown
Page : 784 pages
File Size : 50,5 Mb
Release : 1996-05-06
Category : Science
ISBN : UCSD:31822023215437

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Coherent Flow Structures in Open Channels by Phil Ashworth Pdf

Coherent Flow Structures in Open Channels presents the first integrated treatment, across a wide range of spatial and temporal scales, of the origins and characteristics of coherent fluid motions and their influence on sediment transport and bed morphology. This book contains contributions from an international and interdisciplinary authorship who are responsible for many of the recent advances in geophysical boundary layer research. Coherent flow structures are examined systematically across a range of scales from flat-bed boundary layers, grain and bedform roughness generated structures through to the largest scales, where structures may be associated with bars, meander bends and channel confluences. The book is broadly organized according to the spatial scales of coherent flow structures and presents a treatise on the study of these motions from theoretical, experimental and field-based approaches. These papers describe the origins, evolution and characteristics of coherent flow structures and the control which they may impart on sediment transport, both as a bed and suspended load, and ultimately on channel morphology. The book also highlights future research themes required to advance the interdisciplinary understanding of these complex, yet ubiquitous, natural flows. The research presented here will find applications within many fields, including geomorphology, sedimentology, the physical and numerical modelling of two-phase flows, environmental fluid and sediment dynamics and river engineering.

Author : Josef Singer,Johann Arbocz,Tanchum Weller
Publisher : John Wiley & Sons
Page : 1140 pages
File Size : 42,7 Mb
Release : 2002-08-12
Category : Technology & Engineering
ISBN : 9780471974505

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Buckling Experiments: Experimental Methods in Buckling of Thin-Walled Structures, Volume 2 by Josef Singer,Johann Arbocz,Tanchum Weller Pdf

* Edited by Josef Singer, the world's foremost authority on structural buckling. * Time-saving and cost-effective design data for all structural, mechanical, and aerospace engineering researchers.

Author : Anonim
Publisher : Unknown
Page : 934 pages
File Size : 46,9 Mb
Release : 1987
Category : Meteorology
ISBN : CUB:U183008856146

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Monthly Weather Review by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1082 pages
File Size : 40,7 Mb
Release : 1975-04
Category : Nuclear energy
ISBN : PSU:000047759084

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Nuclear Science Abstracts by Anonim Pdf

Author : Hans Fischer
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 44,8 Mb
Release : 2010-10-08
Category : Mathematics
ISBN : 9780387878577

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A History of the Central Limit Theorem by Hans Fischer Pdf

This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.

Author : Alida Bundy,Marta Coll,Stefan Koenigstein,Susa Niiranen,Maria Grazia Pennino,Paul E. Renaud,Jamie C. Tam,Morgane Travers-Trolet
Publisher : Frontiers Media SA
Page : 374 pages
File Size : 43,7 Mb
Release : 2021-11-29
Category : Science
ISBN : 9782889717125

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Managing for the Future: Understanding the Relative Roles of Climate and Fishing on Structure and Dynamics of Marine Ecosystems by Alida Bundy,Marta Coll,Stefan Koenigstein,Susa Niiranen,Maria Grazia Pennino,Paul E. Renaud,Jamie C. Tam,Morgane Travers-Trolet Pdf