By Sidney Redner

ISBN-10: 0521036917

ISBN-13: 9780521036917

"...original and refreshing..." magazine of Mathematical Pyschology"This is the 1st ebook totally dedicated to first-passage processes... good designed and typeset, [it] is written in an easy-to-read type with a beneficiant collection of in actual fact drawn graphs. The booklet is especially worthy for somebody operating within the quarter of stochastic processes." Mathematical Reviews"...clearly written...the service provider and presentation of the cloth are excellent...a helpful repository of ordinary and not-so-standard ideas which somebody operating within the region of stochastic techniques more often than not, and first-passage difficulties specifically, should want to have on their shelves." --Alan Bray, magazine of Statistical Physics"Unquestionably a worthy booklet, written at an available point for graduate scholars whereas delivering a pleasant precis of the final century's--and significantly the final decades'--developments of those equipment. It fills a gap within the literature that is wanted filling for no less than ten years. additionally, the author's type is secure and crystal transparent whereas keeping mathematical precision and power." --Charles Doering, collage of Michigan"to practitioners within the box of first- passage difficulties, and to scholars coming into the field...I can suggest it strongly. it really is basically written, and the enterprise and presentation of the cloth are first-class. It serves as an invaluable repository of ordinary and not-so-standard recommendations which an individual operating within the sector of stochastic method mostly, and first-passage difficulties particularly, may want to have on their shelves." Alan J. Bray, Dept of Physics and Astronomy, college of Manchester, UK"Redner's technique is often remarkably transparent and it's always aimed to advance intuition....The ebook is explicitly meant for permitting people with a modest historical past to benefit crucial effects fast. This target intrinsically areas it at the border among the class of textbooks and that of reference books. The author's sort, colloquial and concise, but designated, is definately applicable for the purpose." Paolo Laureti, Econophysics"The e-book is particularly good written and gives transparent causes of the innovations used to figure out first passage percentages and comparable amounts, lower than numerous circumstances...this booklet [is] hugely advised to a person drawn to its topic, either for its readability of presentation and for the big variety of difficulties treated." J.R. Dorfman, American magazine of Physics First-passage homes underlie a variety of stochastic techniques, comparable to diffusion-limited progress, neuron firing, and the triggering of inventory ideas. This e-book presents a unified presentation of first-passage procedures, which highlights its interrelations with electrostatics and the ensuing robust effects. the writer starts off with a latest presentation of basic conception 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 conception are then built for easy, illustrative geometries together with the finite and semi-infinite durations, fractal networks, round geometries and the wedge. a number 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. Examples mentioned contain neuron dynamics, self-organized criticality, kinetics of spin structures, and stochastic resonance.

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