MARC details
| 000 -LEADER |
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| fixed length control field |
02527cam a2200301 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
135864 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20150617114512.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130828s2014 riua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470410490 (alk. paper) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510MS |
| Edition number |
23 |
| Item number |
Am512 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Herrmann, Samuel. |
| 245 10 - TITLE STATEMENT |
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| Title |
Stochastic resonance : |
| Remainder of title |
a mathematical approach in the small noise limit / |
| Statement of responsibility, etc |
Samuel Herrmann...[et al.]. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Providence : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
c2014. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvi, 189 p. : |
| Other physical details |
illustrations ; |
| Dimensions |
27 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Mathematical surveys and monographs ; |
| Volume number/sequential designation |
v 194. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface --<br/> Introduction --<br/>1. Heuristics of Noise Induced Transitions --<br/>2. Transitions for time Homogeneous Dynamical Systems with Small Noise --<br/>3. Semiclassical Theory of Stochastic Resonance in Dimension 1 --<br/>4. Large Deviations and Transitions between Meta-Stable states of Dynamical Systems with Small Noise and Weak inhomogeneity --<br/> Appendix A: Supplementary Tools --<br/> Appendix B: Laplace's Method --<br/> Bibliography --<br/> Index |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This book presents a mathematical approach to stochastic resonance which is based on a large deviations principle (LDP) for randomly perturbed dynamical systems with a weak inhomogeneity given by an exogenous periodicity of small frequency. Resonance, the optimal tuning between period length and noise amplitude, is explained by optimising the LDP's rate function. The authors show that not all physical measures of tuning quality are robust with respect to dimension reduction. They propose measures of tuning quality based on exponential transition rates explained by large deviations techniques and show that these measures are robust. The book sheds some light on the shortcomings and strengths of different concepts used in the theory and applications of stochastic resonance without attempting to give a comprehensive overview of the many facets of stochastic resonance in the various areas of sciences. It is intended for researchers and graduate students in mathematics and the sciences interested in stochastic dynamics who wish to understand the conceptual background of stochastic resonance. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Stochastic partial differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Diffusion processes. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Stability. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Imkeller, Peter. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Pavlyukevich, Ilya. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Peithmann, Dierk. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
