31 citations · 157 across the 18 of their papers we have counts for
19 papers
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…
Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited
Sebastián Barbieri, Ricardo Gómez, Brian Marcus +2
The theorems of Kozlov and Sullivan characterize Gibbs measures as measures with positive continuous specifications. More precisely, Kozlov showed that every positive continuous sp…
A Deterministic Algorithm for the Capacity of Finite-State Channels
Chengyu Wu, Guangyue Han, Venkat Anantharam +1
We propose two modified versions of the classical gradient ascent method to compute the capacity of finite-state channels with Markovian inputs. For the case that the channel mutua…
Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups
Sebastián Barbieri, Ricardo Gómez, Brian Marcus +1
We formulate and prove a very general relative version of the Dobrushin-Lanford-Ruelle theorem which gives conditions on constraints of configuration spaces over a finite alphabet…
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…