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Mathematical Physics

A Guide to First-Passage Processes by Sidney Redner

By Sidney Redner

First-passage homes underlie a variety of stochastic tactics, reminiscent of diffusion-limited development, neuron firing and the triggering of inventory ideas. This booklet presents a unified presentation of first-passage approaches, which highlights its interrelations with electrostatics and the ensuing strong effects. the writer starts with a presentation of basic concept 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 idea are then constructed for easy, illustrative geometries together with the finite and semi-infinite periods, fractal networks, round geometries and the wedge. numerous functions are awarded 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 attractive means 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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