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Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
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Continuum Percolation (Paperback)
Loot Price: R1,594
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Continuum Percolation (Paperback)
Series: Cambridge Tracts in Mathematics
Expected to ship within 10 - 15 working days
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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.
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