Holdings: Random walks and first-passage properties

Random walks and first-passage properties: trajectory analysis and search optimization

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Bibliographic Details
Main Author:	Tejedor, Vincent (Author)
Format:	Thesis Book
Language:	English
Published:	2012
Subjects:	Anomale Diffusion Stochastischer Prozess Hochschulschrift
Online Access:	Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120703-1107769-1-2 Inhaltsverzeichnis
Physical Description:	IX, 214 S. graph. Darst.

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adam_text	IMAGE 1 CONTENTS 1 A GUIDED VISIT INTO THE RANDOM WORLD 1 1.1 DIFFUSION AND RANDOM WALKS 2 1.1.1 BASIC NOTIONS 2 1.1.2 PROM RANDOM WALK TO MACROSCOPIC DIFFUSION 10 1.1.3 MATHEMATICAL TOOLS 11 1.2 FIRST-PASSAGE PROPERTIES 15 1.2.1 THE BASIC OF FIRST-PASSAGE 15 1.2.2 RENEWAL EQUATION AND GREEN FUNCTIONS 20 1.2.3 RESULTS ALREADY KNOWN 21 1.3 BEYOND BROWNIAN MOTION 29 1.3.1 ANOMALOUS DIFFUSION PROCESSES 30 1.3.2 SELF-SIMILAR NETWORKS 34 1.3.3 PSEUDO-GREEN FUNCTIONS FOR SELF-SIMILAR RW 38 2 FROM EXPERIMENTAL TRAJECTORIES T O (ANOMALOUS) DIFFUSION MECHANISM, AND THE WAY BACK 4 5 2.1 FIRST THEORETICAL PREDICTIONS: BEYOND THE MSD 48 2.1.1 THEORETICAL FRAMEWORK 50 2.1.2 DIFFUSION ON FRACTALS 52 2.1.3 CTRW 55 2.1.4 HOW TO DISCRIMINATE CTRW AND DIFFUSION ON FRACTALS? 57 2.2 FURTHER LEADS TO FACE EXPERIMENTAL CONSTRAINTS 60 2.2.1 SIMULATIONS 62 2.2.2 MOMENTS AND RATIO OBSERVABLES 62 2.2.3 GROWING SHELL ANALYSIS 75 2.2.4 APPLICATION TO EXPERIMENTAL DATA SETS 76 2.2.5 EXTENSIVE ANALYSIS OF LIPID GRANULES 86 2.3 FURTHER MODELS: STARTING WITH MICROSCOPICAL FACTS 92 2.3.1 PERSISTENT RANDOM WALKS 93 2.3.2 STATIC CAGES: POROSITY 102 2.3.3 DYNAMICAL CAGES: CROWDING EFFECT 113 3 HOW T O OPTIMIZE RANDOM SEARCH PROCESSES? 127 3.1 PERSISTENCE AS AN OPTIMAL SEARCH STRATEGY 129 3.2 FIRST-PASSAGE WITH MOVING TARGET 135 3.2.1 ENCOUNTER PROBABILITY 136 3.2.2 FIRST ENCOUNTER TIME 141 3.3 SEARCH EFFICIENCY AND NETWORK TOPOLOGY 147 3.3.1 GENERAL BOUNDS OF GMFPT 147 3.3.2 TARGET CONNECTIVITY 154 3.3.3 NETWORK PERTURBATION 168 HTTP://D-NB.INFO/1029727775 IMAGE 2 CONTENTS 1 MOMENTS COMPUTATION AND EXPERIMENTAL SETUPS 178 1.1 BROWNIAN MOTION 178 1.2 EXPERIMENTAL SETUPS FOR DATA ACQUISITION 183 2 FIRST-PASSAGE PROPERTIES OF PERSISTENT RANDOM WALKS 185 2.1 MEAN FIRST PASSAGE TIME 185 2.2 APPROXIMATIONS 186 2.3 PERSISTENT PSEUDO-GREEN FUNCTIONS 188 2.4 RETRIEVING (T) USING PSEUDO-GREEN FUNCTIONS 190 2.5 REFLECTIVE BOUNDARY EXTENSION 190 3 FIRST-PASSAGE PROPERTIES FOR A MOVING TARGET 191 3.1 ENCOUNTER PROBABILITY 191 3.2 MEAN FIRST ENCOUNTER TIME 194 VI
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spelling	Tejedor, Vincent Verfasser aut Random walks and first-passage properties trajectory analysis and search optimization Vincent Tejedor 2012 IX, 214 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2012 ; Paris, Univ. Pierre & Marie Curie, Diss., 2012 Anomale Diffusion (DE-588)4532384-7 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Anomale Diffusion (DE-588)4532384-7 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20120703-1107769-1-2 http://mediatum.ub.tum.de/node?id=1107769 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120703-1107769-1-2 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025214793&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Tejedor, Vincent Random walks and first-passage properties trajectory analysis and search optimization Anomale Diffusion (DE-588)4532384-7 gnd Stochastischer Prozess (DE-588)4057630-9 gnd
subject_GND	(DE-588)4532384-7 (DE-588)4057630-9 (DE-588)4113937-9
title	Random walks and first-passage properties trajectory analysis and search optimization
title_auth	Random walks and first-passage properties trajectory analysis and search optimization
title_exact_search	Random walks and first-passage properties trajectory analysis and search optimization
title_full	Random walks and first-passage properties trajectory analysis and search optimization Vincent Tejedor
title_fullStr	Random walks and first-passage properties trajectory analysis and search optimization Vincent Tejedor
title_full_unstemmed	Random walks and first-passage properties trajectory analysis and search optimization Vincent Tejedor
title_short	Random walks and first-passage properties
title_sort	random walks and first passage properties trajectory analysis and search optimization
title_sub	trajectory analysis and search optimization
topic	Anomale Diffusion (DE-588)4532384-7 gnd Stochastischer Prozess (DE-588)4057630-9 gnd
topic_facet	Anomale Diffusion Stochastischer Prozess Hochschulschrift
url	http://mediatum.ub.tum.de/node?id=1107769 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120703-1107769-1-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025214793&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT tejedorvincent randomwalksandfirstpassagepropertiestrajectoryanalysisandsearchoptimization

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