Get A Guide to First-Passage Processes PDF

By Sidney Redner

First-passage homes underlie a variety of stochastic approaches, corresponding to diffusion-limited development, neuron firing and the triggering of inventory concepts. This booklet presents a unified presentation of first-passage techniques, which highlights its interrelations with electrostatics and the ensuing strong effects. the writer starts off with a presentation of primary idea together with the relationship among the profession and first-passage possibilities of a random stroll, and the relationship to electrostatics and present flows in resistor networks. the results of this concept are then constructed for easy, illustrative geometries together with the finite and semi-infinite durations, fractal networks, round geometries and the wedge. a variety of purposes are offered together with neuron dynamics, self-organized criticality, diffusion-limited aggregation, the dynamics of spin structures and the kinetics of diffusion-controlled reactions. First-passage procedures supply an beautiful means for graduate scholars and researchers in physics, chemistry, theoretical biology, electric engineering, chemical engineering, operations learn and finance to appreciate all of those systems.

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A Guide to First-Passage Processes by Sidney Redner


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