Coded equivalence of one-sided topological Markov shifts

Zeta Functions and Topological Entropy of the Markov-dyck Shifts

The Markov-Dyck shifts arise from finite directed graphs. An expression for the zeta function of a Markov-Dyck shift is given. The derivation of this expression is based on a formula in Keller (G. Keller, Circular codes, loop counting, and zeta-functions, J. Combinatorial Theory 56 (1991), pp. 75– 83). For a class of examples that includes the Fibonacci-Dyck shift the zeta functions and topolog...

One-Sided Interval Trees

We give an alternative treatment and extension of some results of Itoh and Mahmoud on one-sided interval trees. The proofs are based on renewal theory, including a case with mixed multiplicative and additive renewals.

On the topological boundary of the one-sided spectrum

It is well-known that the topological boundary of the spectrum of an operator is contained in the approximate point spectrum. We show that the one-sided version of this result is not true. This gives also a negative answer to a problem of Schmoeger. Denote by L(X) the algebra of all bounded linear operators acting in a Banach space X. For T ∈ L(X) denote by σ(T ), σl(T ) and σπ(T ) the spectrum...

On Computing the Topological Entropy of One-sided Cellular Automata

On the topological equivalence of some generalized metric spaces

‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about topological vector spaces‎. ‎We see that the known results on‎ ‎cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained‎ from...