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Probability on Graphs - Random Processes on Graphs and Lattices (Paperback, 2nd Revised edition)
Loot Price: R1,097
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Probability on Graphs - Random Processes on Graphs and Lattices (Paperback, 2nd Revised edition)
Series: Institute of Mathematical Statistics Textbooks
Expected to ship within 12 - 17 working days
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Total price: R1,107
Discovery Miles: 11 070
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This introduction to some of the principal models in the theory of
disordered systems leads the reader through the basics, to the very
edge of contemporary research, with the minimum of technical fuss.
Topics covered include random walk, percolation, self-avoiding
walk, interacting particle systems, uniform spanning tree, random
graphs, as well as the Ising, Potts, and random-cluster models for
ferromagnetism, and the Lorentz model for motion in a random
medium. This new edition features accounts of major recent
progress, including the exact value of the connective constant of
the hexagonal lattice, and the critical point of the random-cluster
model on the square lattice. The choice of topics is strongly
motivated by modern applications, and focuses on areas that merit
further research. Accessible to a wide audience of mathematicians
and physicists, this book can be used as a graduate course text.
Each chapter ends with a range of exercises.
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