3 papers
math.DS2020
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…
q-bio.GN2018
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…
math.DS2018
Continuous shift commuting maps between ultragraph shift spaces
Daniel Gonçalves, Marcelo Sobottka
Recently a generalization of shifts of finite type to the infinite alphabet case was proposed, in connection with the theory of ultragraph C*-algebras. In this work we characterize…