Książka Continuum Percolation Ronald MeesterRahul Roy

Continuum Percolation

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
295.87
Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One s...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2008
strony
252
EAN
9780521062503
ISBN
0521062500
Enbook ID
02020229
Waga
380
Wymiary
152 x 229 x 15

Pełny opis

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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