4 papers
Decomposable shuffles
João Dias, Bruno Dinis, Carlos Correia Ramos
We develop a combinatorial and order-theoretic framework for shuffles, understood as ordered concatenations of indexed families of sequences that induce total orders on the natural…
Unifying interval maps and branching systems with applications to relative graph C*-algebras
Carlos Correia Ramos, Daniel Gonçalves, Nuno Martins +1
We describe Markov interval maps via branching systems and develop the theory of relative branching systems, characterizing when the associated representations of relative graph C*…
On graph algebras from interval maps
Carlos Correia Ramos, Nuno Martins, Paulo R. Pinto
We produce and study a family of representations of relative graph algebras on Hilbert spaces that arise from the orbits of points of one dimensional dynamical systems, where the u…
Orbit Representations from Linear mod 1 Transformations
Carlos Correia Ramos, Nuno Martins, Paulo R. Pinto
We show that every point carries a representation of a -algebra that encodes the orbit structure of the linear mod 1 interval map . Such …