Methods and applications of white noise analysis in interdisciplinary sciences
Analysis, modeling, and simulation for better understanding of diverse complex natural and social phenomena often require powerful tools and analytical methods. Tractable approaches, however, can be developed with mathematics beyond the common toolbox. This book presents the white noise stochastic c...
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Sprache: | English |
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World Scientific Pub. Co.
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520 | |a Analysis, modeling, and simulation for better understanding of diverse complex natural and social phenomena often require powerful tools and analytical methods. Tractable approaches, however, can be developed with mathematics beyond the common toolbox. This book presents the white noise stochastic calculus, originated by T. Hida, as a novel and powerful tool in investigating physical and social systems. The calculus, when combined with Feynman's summation-over-all-histories, has opened new avenues for resolving cross-disciplinary problems. Applications to real-world complex phenomena are further enhanced by parametrizing non-Markovian evolution of a system with various types of memory functions. This book presents general methods and applications to problems encountered in complex systems, scaling in industry, neuroscience, polymer physics, biophysics, time series analysis, relativistic and nonrelativistic quantum systems | ||
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Datensatz im Suchindex
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---|---|
any_adam_object | |
author | Bernido, Christopher C. |
author_facet | Bernido, Christopher C. |
author_role | aut |
author_sort | Bernido, Christopher C. |
author_variant | c c b cc ccb |
building | Verbundindex |
bvnumber | BV044640273 |
classification_rvk | SK 800 |
collection | ZDB-124-WOP |
ctrlnum | (ZDB-124-WOP)00006295 (OCoLC)988734008 (DE-599)BVBBV044640273 |
dewey-full | 519.2/2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.2/2 |
dewey-search | 519.2/2 |
dewey-sort | 3519.2 12 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV044640273 |
illustrated | Illustrated |
indexdate | 2024-12-24T06:14:08Z |
institution | BVB |
isbn | 9789814569125 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030038246 |
oclc_num | 988734008 |
open_access_boolean | |
owner | DE-92 |
owner_facet | DE-92 |
physical | x, 191 p. ill |
psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | World Scientific Pub. Co. |
record_format | marc |
spelling | Bernido, Christopher C. Verfasser aut Methods and applications of white noise analysis in interdisciplinary sciences Christopher C. Bernido, M. Victoria Carpio-Bernido Singapore World Scientific Pub. Co. c2015 x, 191 p. ill txt rdacontent c rdamedia cr rdacarrier Analysis, modeling, and simulation for better understanding of diverse complex natural and social phenomena often require powerful tools and analytical methods. Tractable approaches, however, can be developed with mathematics beyond the common toolbox. This book presents the white noise stochastic calculus, originated by T. Hida, as a novel and powerful tool in investigating physical and social systems. The calculus, when combined with Feynman's summation-over-all-histories, has opened new avenues for resolving cross-disciplinary problems. Applications to real-world complex phenomena are further enhanced by parametrizing non-Markovian evolution of a system with various types of memory functions. This book presents general methods and applications to problems encountered in complex systems, scaling in industry, neuroscience, polymer physics, biophysics, time series analysis, relativistic and nonrelativistic quantum systems White noise theory Stochastische Analysis (DE-588)4132272-1 gnd rswk-swf Stochastische Analysis (DE-588)4132272-1 s 1\p DE-604 Carpio-Bernido, M. Victoria Sonstige oth Erscheint auch als Druck-Ausgabe 9789814569118 http://www.worldscientific.com/worldscibooks/10.1142/8988#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bernido, Christopher C. Methods and applications of white noise analysis in interdisciplinary sciences White noise theory Stochastische Analysis (DE-588)4132272-1 gnd |
subject_GND | (DE-588)4132272-1 |
title | Methods and applications of white noise analysis in interdisciplinary sciences |
title_auth | Methods and applications of white noise analysis in interdisciplinary sciences |
title_exact_search | Methods and applications of white noise analysis in interdisciplinary sciences |
title_full | Methods and applications of white noise analysis in interdisciplinary sciences Christopher C. Bernido, M. Victoria Carpio-Bernido |
title_fullStr | Methods and applications of white noise analysis in interdisciplinary sciences Christopher C. Bernido, M. Victoria Carpio-Bernido |
title_full_unstemmed | Methods and applications of white noise analysis in interdisciplinary sciences Christopher C. Bernido, M. Victoria Carpio-Bernido |
title_short | Methods and applications of white noise analysis in interdisciplinary sciences |
title_sort | methods and applications of white noise analysis in interdisciplinary sciences |
topic | White noise theory Stochastische Analysis (DE-588)4132272-1 gnd |
topic_facet | White noise theory Stochastische Analysis |
url | http://www.worldscientific.com/worldscibooks/10.1142/8988#t=toc |
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