Analyticity results in Bernoulli percolation / Agelos Georgakopoulos, Christoforos Panagiotis.
| Author/creator | Georgakopoulos, Agelos |
| Other author | Panagiotis, Christoforos. |
| Format | Electronic |
| Publication Info | Providence, RI : American Mathematical Society, [2023] |
| Description | v, 102 pages : illustrations ; 26 cm. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; number 1431 (third of 6 numbers) |
| Abstract | "We prove that for Bernoulli percolation on Zd, d (greater than or equal to) 2, the percolation density is an analytic function of the parameter in the supercritical interval. For this we introduce some techniques that have further implications. In particular, we prove that the susceptibility is analytic in the subcritical interval for all transitive shortor long-range models, and that pbond c (less than) 1/2 for certain families of triangulations for which Benjamini & Schramm conjectured that psite c (less than or equal to) 1/2"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 99-102). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2023056195 |
| ISBN | 9781470467050 (paperback) |
| ISBN | (pdf) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |