Dimension de Hausdorff
Labeled shortest paths in digraphs with negative and positive edge weights
This paper gives a shortest path algorithm for CFG (context free grammar) labeled and weighted digraphs where edge weights may be positive or negative, but negative-weight cycles are not allowed in the underlying unlabeled graph. These results build directly on an algorithm of Barrett [ (2000) 809–837]. In addition to many other results, they gave a shortest path algorithm for CFG labeled and weighted digraphs where all edges are nonnegative. Our algorithm is based closely on...
Quasiorders, principal topologies, and partially ordered partitions.
Stability and Independence of the Shifts of Finitely Many Refinable Functions.
Elementary Abelian p-groups as Automorphism Groups of Infinite Groups. I.
On the Non-Vanishing of Certain Poincaré Series.
Local existence of Ricci Solitons.
A solution of the functional equation ...(x-y) = ...aj(x)... On a locally compact Abelian group. (Short Communication).
A solution of the D'Alembert's functional equation on a locally compact Abelian group.
Rosen fractions and Veech groups, an overly brief introduction
We give a very brief, but gentle, sketch of an introduction both to the Rosen continued fractions and to a geometric setting to which they are related, given in terms of Veech groups. We have kept the informal approach of the talk at the Numerations conference, aimed at an audience assumed to have heard of neither of the topics of the title. The Rosen continued fractions are a family of continued fraction algorithms, each gives expansions of real numbers in terms of elements of a corresponding...
Διδάσκοντας Μαθηματικά στα Σχολεία.
Some properties of generalized wreath products
On the infinite volume Hecke surfaces
Length spectra of the Hecke triangle groups.
Modeling sequential searches with ancillary target dependencies.
The disjoint -flower intersection problem for Latin squares.
Minimization of ±1 matrices under line shifts
Diophantine approximation on Veech surfaces
We show that Y. Cheung’s general -continued fractions can be adapted to give approximation by saddle connection vectors for any compact translation surface. That is, we show the finiteness of his Minkowski constant for any compact translation surface. Furthermore, we show that for a Veech surface in standard form, each component of any saddle connection vector dominates its conjugates in an appropriate sense. The saddle connection continued fractions then allow one to recognize certain transcendental...
Invariants of translation surfaces
We definite invariants of translation surfaces which refine Veech groups. These aid in exact determination of Veech groups. We give examples where two surfaces of isomorphic Veech group cannot even share a common tree of balanced affine coverings. We also show that there exist translation surfaces of isomorphic Veech groups which cannot affinely cover any common surface. We also extend a result of Gutkin and Judge and thereby give the first examples of noncompact Fuchsian...
Dualité des espaces de fonctions entières en dimension infinie
On étudie ici quelques espaces de fonctions holomorphes dans des domaines localement convexes, ayant comme cas particuliers les espaces de Fock holomorphes. Les espaces duaux sont caractérisés avec la transformation de Fourier-Borel pour des types d’holomorphie appropriés. On montre que ces espaces de fonctions sont de Fréchet-Schwartz (resp. de Silva, resp. nucléaires) quand leurs domaines sont des espaces de Silva (resp. de Fréchet-Schwartz, resp. nucléaires). Les conditions de croissance -sommable...
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