19 citations · 95 across the 17 of their papers we have counts for
18 papers
Maximizing measures for countable alphabet shifts via blur shift spaces
Eduardo Garibaldi, João T A Gomes, Marcelo Sobottka
For upper semi-continuous potentials defined on shifts over countable alphabets, this paper ensures sufficient conditions for the existence of a maximizing measure. We resort to th…
Intra-strand symmetries and asymmetries in bacterial DNA: Evolutive features or relics of primordial genomes?
Marcelo Sobottka
In this work we analyze some models used to explain the origins of intra-strand parity and strand compositional asymmetries in bacterial genomes. Due to the particular way that the…
Some notes on the classification of shift spaces: Shifts of Finite Type; Sofic Shifts; and Finitely Defined Shifts
Marcelo Sobottka
The aim of this article is to find appropriate definitions for shifts of finite type and sofic shifts in a general context of symbolic dynamics. We start showing that the classical…
Blur shift spaces
Tadeu Zavistanovicz Almeida, Marcelo Sobottka
In this work we propose a new type of shift spaces, called blur shift spaces, where one can represent with a single symbol an entire set of infinite symbols. Such shift spaces are…
Shadowing, Finite Order Shifts and Ultrametric Spaces
Udayan B. Darji, Daniel Gonçalves, Marcelo Sobottka
Inspired by a recent novel work of Good and Meddaugh, we establish fundamental connections between shadowing, finite order shifts, and ultrametric complete spaces. We develop a the…
A Markovian genomic concatenation model guided by persymmetric matrices
Andrew G. Hart, M. Sobottka
The aim of this work is to provide a rigorous mathematical analysis of a stochastic concatenation model presented by Sobottka and Hart (2011) which allows approximation of the firs…