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Viser: Probability on Graphs - Random Processes on Graphs and Lattices
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Probability on Graphs Vital Source e-bog
Geoffrey Grimmett
(2018)
Cambridge University Press
396,00 kr.
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Probability on Graphs
Random Processes on Graphs and Lattices
Geoffrey Grimmett
(2018)
Sprog: Engelsk
Cambridge University Press
399,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- 2. Udgave
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Cambridge University Press (Januar 2018)
- ISBN: 9781108540292
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.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback: 276 sider
- Udgiver: Cambridge University Press (Januar 2018)
- ISBN: 9781108438179
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.
Preface;
1. Random walks on graphs;
2. Uniform spanning tree;
3. Percolation and self-avoiding walk;
4. Association and influence;
5. Further percolation;
6. Contact process;
7. Gibbs states;
8. Random-cluster model;
9. Quantum Ising model;
10. Interacting particle systems;
11. Random graphs;
12. Lorentz gas; References; Index.
1. Random walks on graphs;
2. Uniform spanning tree;
3. Percolation and self-avoiding walk;
4. Association and influence;
5. Further percolation;
6. Contact process;
7. Gibbs states;
8. Random-cluster model;
9. Quantum Ising model;
10. Interacting particle systems;
11. Random graphs;
12. Lorentz gas; References; Index.
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