| Full text | |
| Author(s): |
Alon, Noga
;
Bissacot, Rodrigo
;
Endo, Eric Ossami
Total Authors: 3
|
| Document type: | Journal article |
| Source: | LETTERS IN MATHEMATICAL PHYSICS; v. 107, n. 5, p. 887-899, MAY 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and provide sharp estimates for this number for more general trees. We also obtain a characterization of the locally finite trees with infinitely many contours of the same size containing a fixed vertex. (AU) | |
| FAPESP's process: | 11/16265-8 - Low dimensional dynamics |
| Grantee: | Edson Vargas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 14/10637-9 - Combinatorial Problems in Ferromagnetic Models |
| Grantee: | Eric Ossami Endo |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 16/08518-7 - Gibbs Measures and Phase Transitions |
| Grantee: | Rodrigo Bissacot Proença |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 15/14434-8 - Phase Transitions in Spin Models with General External Fields |
| Grantee: | Eric Ossami Endo |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |