First-Passage Phenomena and Their ApplicationsRalf Metzler, Gleb Oshanin, Sidney Redner World Scientific, 21.03.2014 - 608 Seiten The book contains review articles on recent advances in first-passage phenomena and applications contributed by leading international experts. It is intended for graduate students and researchers who are interested in learning about this intriguing and important topic. |
Inhalt
| 1 | |
| 21 | |
3 First Passage Problems in Anomalous Diffusion | 45 |
4 FirstPassage Times of Intermittent Random Walks | 70 |
5 FirstPassage Phenomena on Finite Inhomogeneous Networks | 96 |
6 Effective Spectral Dimension in ScaleFree Networks | 122 |
7 FirstPassage Statistics for Random Walks in Bounded Domains | 145 |
8 First Passage Behavior of MultiDimensional Fractional Brownian Motion and Application to Reaction Phenomena | 175 |
13 First Passage Problems in Biology | 306 |
14 The Effect of Detection Mechanisms on Spatial Search and Foraging | 346 |
15 Search in Random Media with Levy Flights | 366 |
Visual Search and the Quitting Time Problem | 390 |
17 Statistical Physics of Evolutionary Trajectories on Fitness Landscapes | 416 |
18 Some Applications of FirstPassage Ideas to Finance | 447 |
19 FirstPassage and Extremes in SocioEconomic Systems | 477 |
20 Transport and the First Passage Time Problem with Application to Cold Atoms in Optical Traps | 502 |
9 TrajectorytoTrajectory Fluctuations in FirstPassage Phenomena in Bounded Domains | 203 |
10 Exact Record and Order Statistics of Random Walks via FirstPassage Ideas | 226 |
11 First Passage in Conical Geometry and Ordering of Brownian Particles | 252 |
12 First Passage Time Problems in Biophysical Jump Processes with Fast Kinetics | 277 |
21 The Excursion Set Theory in Cosmology | 532 |
22 SelfOrganized Escape Processes of Linear Chains in Nonlinear Potentials | 554 |
23 Efficient Monte Carlo Methods for Simulating DiffusionReaction Processes in Complex Systems | 571 |
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First-passage Phenomena and Their Applications Ralf Metzler,Gleb Oshanin,Sidney Redner Keine Leseprobe verfügbar - 2014 |
Häufige Begriffe und Wortgruppen
anomalous diffusion approximation asymptotic average behavior Bénichou boundary condition Brownian bridge Brownian motion compute consider corresponding decay defined detection deterministic dimension distance distribution domain dynamics eigenvalue energy epistasis exit exponent exponential finite first-passage first-passage processes fitness landscapes fluctuations Fokker-Planck equation fractal fractional function Gaussian given initial intermittent search interval jump kinetics Klafter landscape Langevin equation Laplace Laplace transform lattice Lett Lévy flights limit Math maximum mean Metzler MFPT microtubule networks node obtained one-dimensional optimal order statistics parameter particle passage path Phys Physics polymer position potential prevalence probability density problem properties protein random acceleration random variables random walks reaction S. N. Majumdar scale-free networks scaling searcher sequence simulations solution space starting stochastic stochastic process subdiffusive survival probability target theory trajectories visual search Voituriez walker