9780521062503 - continuum percolation (cambridge tracts in mathematics, 119, band 119) von meester, ronald (3 Ergebnisse)

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Zustand: New. A unified treatment of a spatial random process that can be used to model many natural phenomena. Series: Cambridge Tracts in Mathematics. Num Pages: 252 pages, 26 b/w illus. BIC Classification: PHS. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 15. Weight in Grams: 380. . 2008. paperback. . . . .… Books ship from the US and Ireland.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modelled is made up of individual events that overlap, for example, the…way individual raindrops eventually make the ground evenly wet. This is a systematic rigorous account of continuum percolation. Two models, the Boolean model and the random connection model, are treated in detail, and related continuum models are discussed. All important techniques and methods are explained and applied to obtain results on the existence of phase transitions, equality and continuity of critical densities, compressions, rarefaction, and other aspects of continuum models. This self-contained treatment, assuming only familiarity with measure theory and basic probability theory, will appeal to students and researchers in probability and stochastic geometry.