6 citations · 12 across the 10 of their papers we have counts for
10 papers
On the Lorenz-Fibonacci sequences and substitutions
Bernardo San Martín, Víctor Sirvent
In the present article, we consider two families of integer sequences, the -Lorenz-Fibonacci sequences of the first and second kind, whose characteristic polynomial is $$p_{…
Fractal tiles induced by tent maps
Klaus Scheicher, Victor F. Sirvent, Paul Surer
In the present article, we deal with geometrical objects induced by the tent maps associated with special Pisot numbers that we call tent-tiles. They are compact subsets of the one…
Homological data on the periodic structure of self-maps on wedge sums
Marcos J. González, Víctor F. Sirvent, Richard Urzúa
In this article, we study the periodic points for continuous self-maps on the wedge sum of topological manifolds, exhibiting a particular combinatorial structure. We compute explic…
On the periodic structure of self-maps on the product of spheres of different dimensions
Victor F. Sirvent
In the present article we study the periodic structure of some well-known classes of self-maps on the product of spheres of different dimensions: transversal maps, Morse-Smal…
On a conjecture about the absence of an initial balanced pair for Pisot substitutions
Víctor F. Sirvent, Štěpán Starosta
Sellami and Sirvent conjectured that the balanced pair algorithm fails for the following pair of Pisot substitutions: \[ φ_0: \begin{array}{l} a \mapsto abc b \mapsto a c \mapsto a…
A -Analogue of Poly-Euler Polynomials and Some Related Polynomials
Takao Komatsu, José L. Ramírez, Víctor F. Sirvent
In the present article, we introduce a -analogue of the poly-Euler polynomials and numbers by using the -polylogarithm function. These new sequences are generalizatio…
A -analogue of the Biperiodic Fibonacci Sequence
José L. Ramírez, Víctor Sirvent
The Fibonacci sequence has been generalized in many ways. One of them is defined by the relation if is even, if is odd, with i…
Symmetric intersections of Rauzy fractals
Tarek Sellami, Víctor F. Sirvent
In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimo…
Beta-expansions of -adic numbers
Klaus Scheicher, Victor F. Sirvent, Paul Surer
In the present article, we introduce beta-expansions in the ring of -adic integers. We characterise the sets of numbers with eventually periodic and finite expans…
Selfdual Substitutions in Dimension One
Valérie Berthé, Dirk Frettlöh, Victor Sirvent
There are several notions of the 'dual' of a word/tile substitution. We show that the most common ones are equivalent for substitutions in dimension one, where we restrict ourselve…