Continuum Percolation

Name: Continuum Percolation
Brand: Cambridge University Press
SKU: 9780521062503
Price: 382.1 RON
Availability: InStock

Autor: Ronald MeesterRahul Roy

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Editura: Cambridge University Press

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Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One s...

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Autor

Ronald MeesterRahul Roy

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2008

Pagini

252

EAN

9780521062503

ISBN

0521062500

Enbook ID

02020229

Editura

Cambridge University Press

Greutate

380

Dimensiuni

152 x 229 x 15

Descriere completă

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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Continuum Percolation

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