Probability on Graphs: Random Processes on Graphs and Lattices

ISBN-13: 9781108438179 / Angielski / Miękka / 2018 / 276 str.

Geoffrey Grimmett

Opis

A user-friendly introduction for mathematicians to some of the principal stochastic models near the interface of probability and physics.

Spis treści

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.