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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Counting contours on trees

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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