Expansion for the critical point of site percolation: the first three terms
| Autor: | Markus Heydenreich, Kilian Matzke |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Physics 60K35 82B43 Condensed matter physics Applied Mathematics High Energy Physics::Lattice Probability (math.PR) Inverse Theoretical Computer Science Combinatorics Lattice (module) Computational Theory and Mathematics Critical point (thermodynamics) Percolation FOS: Mathematics ddc:510 Mathematics - Probability |
| Popis: | We expand the critical point for site percolation on the $d$-dimensional hypercubic lattice in terms of inverse powers of $2d$, and we obtain the first three terms rigorously. This is achieved using the lace expansion. 22 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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