Holdings: A guide to first-passage processes

A guide to first-passage processes:

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Bibliographic Details
Main Author:	Redner, Sidney (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2007
Edition:	Digitally printed version (with corr.)
Subjects:	Irrfahrtsproblem Stochastischer Prozess Diffusionsprozess
Online Access:	Inhaltsverzeichnis Inhaltstext Inhaltsverzeichnis
Item Description:	Originally published: 2001. - Literaturverz. S. [295] - 305. - Formerly CIP
Physical Description:	XIII, 312 S. graph. Darst. 23cm
ISBN:	9780521036917 9780521652483

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MARC


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adam_text	IMAGE 1 A GUIDE TO FIRST-PASSAGE PROCESSES SIDNEY REDNER BOSTON UNIVERSITY CAMBRIDGE UNIVERSITY PRESS IMAGE 2 CONTENTS PREFACE PAGE VII ERRATA X 1 FIRST-PASSAGE FUNDAMENTALS 1 1.1. WHAT IS A FIRST-PASSAGE PROCESS? 1 1.2. CONNECTION BETWEEN FIRST-PASSAGE AND OCCUPATION PROBABILITIES 5 1.3. PROBABILITY DISTRIBUTION OF A ONE-DIMENSIONAL RANDOM WALK 7 1.4. RELATION BETWEEN LAPLACE TRANSFORMS AND REAL-TIME QUANTITIES 17 1.5. ASYMPTOTICS OF THE FIRST-PASSAGE PROBABILITY 21 1.6. CONNECTION BETWEEN FIRST-PASSAGE AND ELECTROSTATICS 24 1.7. RANDOM WALKS AND RESISTOR NETWORKS 33 1.8. EPILOGUE 37 2 FIRST PASSAGE IN AN INTERVAL 38 2.1. INTRODUCTION 38 2.2. TIME-DEPENDENT FORMULATION 40 2.3. TIME-INTEGRATED FORMULATION 55 2.4. DISCRETE-SPACE RANDOM WALK 69 3 SEMI-INFINITE SYSTEM 80 3.1. THE BASIC DICHOTOMY 80 3.2. IMAGE METHOD 81 3.3. SYSTEMATIC APPROACH 93 3.4. DISCRETE RANDOM WALK 97 3.5. IMPERFECT ABSORPTION 106 3.6. THE QUASI-STATIC APPROXIMATION 113 4 ILLUSTRATIONS OF FIRST PASSAGE IN SIMPLE GEOMETRIES 115 4.1. FIRST PASSAGE IN REAL SYSTEMS 115 4.2. NEURON DYNAMICS 117 V IMAGE 3 VI CONTENTS 4.3. SELF-ORGANIZED CRITICALITY 120 4.4. KINETICS OF SPIN SYSTEMS 131 4.5. FIRST PASSAGE IN COMPOSITE AND FLUCTUATING SYSTEMS 139 4.6. INTERVAL WITH SPATIALLY VARIABLE DIFFUSION 150 4.7. THE EXPANDING CAGE 154 4.8. THE MOVING CLIFF 161 5 FRACTAL AND NONFRACTAL NETWORKS 168 5.1. BEYOND ONE DIMENSION 168 5.2. CAYLEY TREE 169 5.3. HIERARCHICAL THREE-TREE 172 5.4. COMB STRUCTURES 181 5.5. HYDRODYNAMIC TRANSPORT 193 6 SYSTEMS WITH SPHERICAL SYMMETRY 208 6.1. INTRODUCTION 208 6.2. FIRST PASSAGE BETWEEN CONCENTRIC SPHERES 208 6.3. FIRST PASSAGE TO A SPHERE 214 6.4. TIME-DEPENDENT FIRST-PASSAGE PROPERTIES 218 6.5. REACTION-RATE THEORY 223 7 WEDGE DOMAINS 234 7.1. WHY STUDY THE WEDGE? 234 7.2. TWO-DIMENSIONAL WEDGE 235 7.3. THREE-DIMENSIONAL CONE 239 7.4. CONFORMAL TRANSFORMATIONS AND ELECTROSTATIC METHODS 241 7.5. FIRST-PASSAGE TIMES 245 7.6. EXTENSION TO TIME-DEPENDENT FIRST-PASSAGE PROPERTIES 250 8 APPLICATIONS TO SIMPLE REACTIONS 252 8.1. REACTIONS AS FIRST-PASSAGE PROCESSES 252 8.2. KINETICS OF THE TRAPPING REACTION 254 8.3. REUNIONS AND REACTIONS OF THREE DIFFUSING PARTICLES 262 8.4. DIFFUSION-CONTROLLED REACTIONS 272 8.5. BALLISTIC ANNIHILATION 288 REFERENCES 295 INDEX 307
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author	Redner, Sidney
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spelling	Redner, Sidney Verfasser aut A guide to first-passage processes Sidney Redner Digitally printed version (with corr.) Cambridge [u.a.] Cambridge Univ. Press 2007 XIII, 312 S. graph. Darst. 23cm txt rdacontent n rdamedia nc rdacarrier Originally published: 2001. - Literaturverz. S. [295] - 305. - Formerly CIP Irrfahrtsproblem (DE-588)4162442-7 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Diffusionsprozess (DE-588)4274463-5 gnd rswk-swf Irrfahrtsproblem (DE-588)4162442-7 s Diffusionsprozess (DE-588)4274463-5 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 http://www.gbv.de/dms/ilmenau/toc/583276172.PDF kostenfrei Inhaltsverzeichnis DE-601 pdf/application http://www.zentralblatt-math.org/zmath/en/search/?an=1128.60002 Zentralblatt MATH kostenfrei Inhaltstext GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020213944&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Redner, Sidney A guide to first-passage processes Irrfahrtsproblem (DE-588)4162442-7 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Diffusionsprozess (DE-588)4274463-5 gnd
subject_GND	(DE-588)4162442-7 (DE-588)4057630-9 (DE-588)4274463-5
title	A guide to first-passage processes
title_auth	A guide to first-passage processes
title_exact_search	A guide to first-passage processes
title_full	A guide to first-passage processes Sidney Redner
title_fullStr	A guide to first-passage processes Sidney Redner
title_full_unstemmed	A guide to first-passage processes Sidney Redner
title_short	A guide to first-passage processes
title_sort	a guide to first passage processes
topic	Irrfahrtsproblem (DE-588)4162442-7 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Diffusionsprozess (DE-588)4274463-5 gnd
topic_facet	Irrfahrtsproblem Stochastischer Prozess Diffusionsprozess
url	http://www.gbv.de/dms/ilmenau/toc/583276172.PDF http://www.zentralblatt-math.org/zmath/en/search/?an=1128.60002 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020213944&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT rednersidney aguidetofirstpassageprocesses

Holdings

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