174 citations · 411 across the 30 of their papers we have counts for
8 papers · 1 filter
Continuous Analogues for the Binomial Coefficients and the Catalan Numbers
Leonardo Cano, Rafael Diaz
Using techniques from the theories of convex polytopes, lattice paths, and indirect influences on directed manifolds, we construct continuous analogues for the binomial coefficient…
On the Categorification of the Möbius Function
Rafael Diaz
In these notes we study several categorical generalizations of the Möbius function and discuss the relations between the various approaches. We emphasize the topological and geomet…
Boolean Differential Operators
Jorge Catumba, Rafael Diaz
We consider four combinatorial interpretations for the algebra of Boolean differential operators. We show that each interpretation yields an explicit matrix representation for Bool…
Compositional Bernoulli numbers
Hector Blandin, Rafael Diaz
We define and study the combinatorial properties of compositional Bernoulli numbers and polynomials within the framework of rational combinatorics.
Symmetric Boolean Algebras
Rafael Diaz, Mariolys Rivas
We define Boolean algebras in the linear context and study its symmetric powers. We give explicit formulae for products in symmetric Boolean algebras of various dimensions. We form…
On the combinatorics of hypergeometric functions
Héctor Blandín, Rafael Díaz
We give a combinatorial interpretation for the hypergeometric functions associated with tuples of rational numbers.