Projections in the curve complex arising from covering maps

Algebraic Differential Equations from Covering Maps

Let Y be a complex algebraic variety, G y Y an action of an algebraic group on Y , U ⊆ Y (C) a complex submanifold, Γ < G(C) a discrete, Zariski dense subgroup of G(C) which preserves U , and π : U → X(C) an analytic covering map of the complex algebraic variety X expressing X(C) as Γ\U . We note that the theory of elimination of imaginaries in differentially closed fields produces a generalize...

Short covering codes arising from matchings in weighted graphs

The concept of embedded matching in a weighted graph is introduced, and the maximum cardinality of an embedded matching is computed. On the other hand, consider the following problem induced by a short covering. Given a prime power q, the number c(q) denotes the minimum cardinality of a subset H of Fq which satisfies the following property: every element in this space differs in at most 1 coord...

Simplicial ramified covering maps

In this paper we define the concept of a ramified covering map in the category of simplicial sets and we show that it has properties analogous to those of the topological ramified covering maps. We show that the geometric realization of a simplicial ramified covering map is a topological ramified covering map, and we also consider the relation with ramified covering maps in the category of simp...

Fitness Landscapes Arising from the Sequence-Structure Maps of Biopolymers

Fitness landscapes are an important concept in molecular evolution since evolutionary adaptation as well as in vitro selection of biomolecules can be viewed as a hill-climbing-like process. Global features of landscapes can be described by statistical measures such as correlation functions or the fraction of neutral (equally fit) neighbors. Simple spin-glass-like landscape models borrowed from ...

Universal covering Maps and radial