18 citations · 43 across the 7 of their papers we have counts for
8 papers
Embeddings of Relative Dimension Groups for Zero-Dimensional Dynamical Systems
Maryam Hosseini
Let be a factor map between zero-dimensional dynamical systems, and let and be quasi-sections with . We study the homomorphism $π^…
Topological Factoring of Zero Dimensional Dynamical Systems
Nasser Golestani, Maryam Hosseini, Hamed Yahya Oghli
We show that every topological factoring between two zero dimensional dynamical systems can be represented by a sequence of morphisms between the levels of the associated ordered B…
On Topological Rank of Factors of Cantor Minimal Systems
Nasser Golestani, Maryam Hosseini
A Cantor minimal system is of finite topological rank if it has a Bratteli-Vershik representation whose number of vertices per level is uniformly bounded. We prove that if the topo…
Tail redundancy and its characterization of compression of memoryless sources
Maryam Hosseini, Narayana Santhanam
We formalize the tail redundancy of a collection of distributions over a countably infinite alphabet, and show that this fundamental quantity characterizes the asymptotic per-symbo…
Redundancy of unbounded memory Markov classes with continuity conditions
Changlong Wu, Maryam Hosseini, Narayana Santhanam
We study the redundancy of universally compressing strings generated by a binary Markov source without any bound on the memory. To better understand the connec…
Orbit equivalence of Cantor minimal systems and their continuous spectra
Thierry Giordano, David Handelman, Maryam Hosseini
To any continuous eigenvalue of a Cantor minimal system , we associate an element of the dimension group associated to . We introduce and study the c…
On redundancy of memoryless sources over countable alphabets
Maryam Hosseini, Narayana Santhanam
The minimum average number of bits need to describe a random variable is its entropy, assuming knowledge of the underlying statistics On the other hand, universal compression suppo…
IP-rigidity and eigenvalue groups
Jon. Aaronson, Maryam Hosseini, Mariusz Lemanczyk
We examine the class of increasing sequences of natural numbers which are IP-rigidity sequences for some weakly mixing probability preserving transformation. This property is close…