A Guide to First-Passage Processes by Sidney Redner

By Sidney Redner

First-passage homes underlie a variety of stochastic tactics, comparable to diffusion-limited progress, neuron firing and the triggering of inventory concepts. This e-book offers a unified presentation of first-passage procedures, which highlights its interrelations with electrostatics and the ensuing strong outcomes. the writer starts off with a presentation of basic idea together with the relationship among the career and first-passage chances of a random stroll, and the relationship to electrostatics and present flows in resistor networks. the results of this concept are then built for easy, illustrative geometries together with the finite and semi-infinite durations, fractal networks, round geometries and the wedge. quite a few functions are provided together with neuron dynamics, self-organized criticality, diffusion-limited aggregation, the dynamics of spin platforms and the kinetics of diffusion-controlled reactions. First-passage approaches supply an attractive method for graduate scholars and researchers in physics, chemistry, theoretical biology, electric engineering, chemical engineering, operations examine and finance to appreciate all of those systems.

Show description

Read Online or Download A Guide to First-Passage Processes PDF

Similar mathematical physics books

Fractal Dimensions for Poincare Recurrences (Monograph Series on Nonlinear Science and Complexity)

This booklet is dedicated to a tremendous department of the dynamical structures concept : the learn of the high-quality (fractal) constitution of Poincare recurrences -instants of time while the method virtually repeats its preliminary country. The authors have been in a position to write a wholly self-contained textual content together with many insights and examples, in addition to delivering whole info of proofs.

Geometry of Minkowski Space-Time (SpringerBriefs in Physics)

This booklet presents an unique creation to the geometry of Minkowski space-time. 100 years after the space-time formula of designated relativity through Hermann Minkowski, it's proven that the kinematical outcomes of distinctive relativity are basically a manifestation of space-time geometry. The e-book is written with the purpose of offering scholars (and lecturers) of the 1st years of collage classes with a device that's effortless to be utilized and permits the answer of any challenge of relativistic kinematics whilst.

Computational Physics (Essentials of Physics Series)

This booklet offers an creation to computational physics. pcs are actually ubiquitous and are a vital device to any would-be medical researcher. pcs can be utilized for a wide selection of medical initiatives, from the straightforward manipulation of knowledge to simulations of genuine international occasions. This booklet is designed to supply the reader with a grounding in clinical programming.

Turbulence in Magnetohydrodynamics (De Gruyter Studies in Mathematical Physics)

Magnetohydrodynamics describes dynamics in electrically conductive fluids. those happen in our surroundings in addition to in our surroundings and magnetosphere, and play a task within the sun's interplay with our planet. as a rule those phenomena contain turbulences, and hence are very difficult to appreciate and calculate.

Extra resources for A Guide to First-Passage Processes

Example text

Download PDF sample

Rated 4.70 of 5 – based on 9 votes