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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1767| Constant-length random substitutions and gibbs measures | |
| CESAR OCTAVIO MALDONADO AHUMADA LILIANA PAULINA TREJO VALENCIA Edgardo Ugalde | |
| En Embargo | |
| 31-12-2019 | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1007/s10955-018-2010-4 | |
| Gibbs measures Random substitutions Projective convergence | |
| "This work is devoted to the study of processes generated by random substitutions over a finite alphabet. We prove, under mild conditions on the substitutions rule, the existence of a unique process which remains invariant under the substitution, and which exhibits a polynomial decay of correlations. For constant-length substitutions, we go further by proving that the invariant state is precisely a Gibbs measure which can be obtained as the projective limit of its natural Markovian approximations. We end up the paper by studying a class of substitutions whose invariant state is the unique Gibbs measure for a hierarchical two-body interaction." | |
| Springer | |
| 2018 | |
| Artículo | |
| Maldonado, C., Trejo-Valencia, L. & Ugalde, E. J Stat Phys (2018) 171: 269. https://doi.org/10.1007/s10955-018-2010-4 | |
| MATEMÁTICAS | |
| Versión revisada | |
| submittedVersion - Versión revisada | |
| Aparece en las colecciones: | Publicaciones Científicas Control y Sistemas Dinámicos |