Books > Mathematical Physics > New PDF release: A Guide to First-Passage Processes

New PDF release: A Guide to First-Passage Processes

By Sidney Redner

First-passage houses underlie a variety of stochastic strategies, equivalent to diffusion-limited progress, neuron firing and the triggering of inventory ideas. This ebook offers a unified presentation of first-passage tactics, which highlights its interrelations with electrostatics and the ensuing robust outcomes. the writer starts off with a presentation of basic concept 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 implications of this concept are then built for easy, illustrative geometries together with the finite and semi-infinite periods, fractal networks, round geometries and the wedge. numerous 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 tactics offer an beautiful 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.

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A Guide to First-Passage Processes by Sidney Redner

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