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- Autorius: Markus Heydenreich
- Leidėjas: Springer
- ISBN-10: 3319873210
- ISBN-13: 9783319873213
- Formatas: 15.6 x 23.4 x 1.6 cm, minkšti viršeliai
- Kalba: Anglų
Progress in High-Dimensional Percolation and Random Graphs (el. knyga) (skaityta knyga) | knygos.lt
Atsiliepimai
Aprašymas
Preface.- 1. Introduction and motivation.- 2. Fixing ideas: Percolation on a tree and branching random walk.- 3. Uniqueness of the phase transition.- 4. Critical exponents and the triangle condition.- 5. Proof of triangle condition.- 6. The derivation of the lace expansion via inclusion-exclusion.- 7. Diagrammatic estimates for the lace expansion.- 8. Bootstrap analysis of the lace expansion.- 9. Proof that δ = 2 and β = 1 under the triangle condition.- 10. The non-backtracking lace expansion.- 11. Further critical exponents.- 12. Kesten's incipient infinite cluster.- 13. Finite-size scaling and random graphs.- 14. Random walks on percolation clusters.- 15. Related results.- 16. Further open problems.- Bibliography.
- Autorius: Markus Heydenreich
- Leidėjas: Springer
- ISBN-10: 3319873210
- ISBN-13: 9783319873213
- Formatas: 15.6 x 23.4 x 1.6 cm, minkšti viršeliai
- Kalba: Anglų
Preface.- 1. Introduction and motivation.- 2. Fixing ideas: Percolation on a tree and branching random walk.- 3. Uniqueness of the phase transition.- 4. Critical exponents and the triangle condition.- 5. Proof of triangle condition.- 6. The derivation of the lace expansion via inclusion-exclusion.- 7. Diagrammatic estimates for the lace expansion.- 8. Bootstrap analysis of the lace expansion.- 9. Proof that δ = 2 and β = 1 under the triangle condition.- 10. The non-backtracking lace expansion.- 11. Further critical exponents.- 12. Kesten's incipient infinite cluster.- 13. Finite-size scaling and random graphs.- 14. Random walks on percolation clusters.- 15. Related results.- 16. Further open problems.- Bibliography.
Atsiliepimai