Kniha Continuum Percolation Ronald MeesterRahul Roy

Continuum Percolation

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 9-15 dnů
3 474
Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One s...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
1996
Stránek
252
EAN
9780521475044
ISBN
052147504X
Enbook ID
02032356
Hmotnost
544
Rozměry
237 x 161 x 24

Kompletní popis

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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