Gibbs measures for Delone sets

• Grant number: 19/10485-8
• Support Opportunities: Regular Research Grants
• Start date: October 01, 2019
• End date: March 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Eduardo Garibaldi
• Grantee: Eduardo Garibaldi
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas
• Associated researchers: Cleber Fernando Colle ; Elmer Rusbert Calderón Beltrán ; João Tiago Assunção Gomes ; Philippe Thieullen ; Rodrigo Bissacot Proença ; Samuel Petite

Abstract

We intend to develop research on multidimensional thermodynamic formalism and its relations with dynamics, ergodic theory and geometry, paying particular attention to connections with Delone set theory, tilings and Rd-actions. (AU)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

GARIBALDI, EDUARDO; INOQUIO-RENTERIA, IRENE. A Ruelle-Perron-Frobenius theorem for expanding circle maps with an indifferent fixed point. LETTERS IN MATHEMATICAL PHYSICS, v. 112, n. 4, p. 25-pg., 2022-08-01. (19/10485-8)

GARIBALDI, EDUARDO; PETITE, SAMUEL; THIEULLEN, PHILIPPE. Classification of Discrete Weak KAM Solutions on Linearly Repetitive Quasi-Periodic Sets. Communications in Mathematical Physics, v. 405, n. 12, p. 48-pg., 2024-12-01. (19/10485-8)

GARIBALDI, EDUARDO; INOQUIO-RENTERIA, IRENE. Exponential rate of decay of correlations of equilibrium states associated with non-uniformly expanding circle maps. Nonlinearity, v. 37, n. 3, p. 12-pg., 2024-03-01. (19/10485-8)