Download PDF by Sidney Redner: A Guide to First-Passage Processes

By Sidney Redner

First-passage homes underlie a variety of stochastic approaches, reminiscent of diffusion-limited progress, neuron firing and the triggering of inventory recommendations. This ebook offers a unified presentation of first-passage methods, which highlights its interrelations with electrostatics and the ensuing strong outcomes. the writer starts off with a presentation of primary thought together with the relationship among the profession and first-passage chances of a random stroll, and the relationship to electrostatics and present flows in resistor networks. the results of this idea are then built for easy, illustrative geometries together with the finite and semi-infinite periods, fractal networks, round geometries and the wedge. a variety of functions are offered together with neuron dynamics, self-organized criticality, diffusion-limited aggregation, the dynamics of spin platforms and the kinetics of diffusion-controlled reactions. First-passage techniques offer an beautiful means 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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