Continuum Percolation (Cambridge Tracts in Mathematics)

出版者:Cambridge University Press

作者:Ronald Meester

页数:252

出版时间:2008-05-15

价格:USD 50.00

装帧:Paperback

isbn号码:9780521062503

丛书系列:Cambridge Tracts in Mathematics

图书标签:概率专著数学

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.