Sidney Redner's A Guide to First-Passage Processes PDF

By Sidney Redner

ISBN-10: 0521036917

ISBN-13: 9780521036917

ISBN-10: 0521652480

ISBN-13: 9780521652483

First-passage homes underlie quite a lot of stochastic approaches, similar to diffusion-limited progress, neuron firing and the triggering of inventory innovations. This ebook offers a unified presentation of first-passage tactics, which highlights its interrelations with electrostatics and the ensuing robust results. the writer starts with a presentation of primary conception 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 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. a number 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 techniques supply an beautiful method for graduate scholars and researchers in physics, chemistry, theoretical biology, electric engineering, chemical engineering, operations study 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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