31 citations · 157 across the 18 of their papers we have counts for
9 papers · 1 filter
Markov Capacity for Factor Codes with an Unambiguous Symbol
Guangyue Han, Brian Marcus, Chengyu Wu
In this paper, we first give a necessary and sufficient condition for a factor code with an unambiguous symbol to admit a subshift of finite type restricted to which it is one-to-o…
Mixing Properties for Hom-Shifts and the Distance between Walks on Associated Graphs
Nishant Chandgotia, Brian Marcus
Let be a finite connected undirected graph and be the graph of bi-infinite walks on ; two such walks and $\{…
Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems
Felipe García-Ramos, Brian Marcus
We show that an -topological dynamical system equipped with an invariant ergodic measure has discrete spectrum if and only it is -mean equicontinuous (proven for befo…
Representation and poly-time approximation for pressure of lattice models in the non-uniqueness region
Stefan Adams, Raimundo Briceño, Brian Marcus +1
We develop a new pressure representation theorem for nearest-neighbour Gibbs interactions and apply this to obtain the existence of efficient algorithms for approximating the press…
An integral representation for topological pressure in terms of conditional probabilities
Brian Marcus, Ronnie Pavlov
Given an equilibrium state for a continuous function on a shift of finite type , the pressure of is the integral, with respect to , of the sum of and the info…
Computing bounds for entropy of stationary Z^d Markov random fields
Brian Marcus, Ronnie Pavlov
For any stationary $\mZ^d$-Gibbs measure that satisfies strong spatial mixing, we obtain sequences of upper and lower approximations that converge to its entropy. In the case, $d=2…