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A proof of Thurston's topological characterization of rational functions
Thurston's topological characterization rational functions
2015/8/26
The criterion proved in this paper was stated by Thurston in November 1982. Thurston lectured on its proof on several occasions, notably at the NSF summer conference inDuluth, 1983, where one of the a...
A Characterization of Cellular Automata Generated by Idempotents on the Full Shift
cellular automata marker lemma products of idempotents decidability
2012/6/19
In this article, we discuss the family of cellular automata generated by so-called idempotent cellular automata (CA G such that G^2 = G) on the full shift. We prove a characterization of products of i...
A characterization of ordinary modular eigenforms with CM
modular forms with complex multiplication Galois represenations Number Theory
2012/6/12
We show that a $p$-ordinary modular eigenform $f$ of weight $k\geq 2$, with $p$-adic Galois representation $\rho_f$ and $\mod{p^m}$ reductions $\rho_{f,m}$, and with complex multiplication(CM) is char...
A characterization of amenability of group actions on $C^\ast$-algebras
characterization amenability group actions $C^\ast$-algebras
2012/4/16
We show that coincidence of the full and reduced crossed product $C^\ast$-algebras of a group action on a unital commutative $C^\ast$-algebra implies amenability of the action whenever the group is ex...
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
BMO Bessel operators Carleson measures uniformly convex uniformly smooth Banach spaces
2011/9/22
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...
A characterization of normal subgroups via n-closed sets
subgroup normal subgroup left coset n-closed set
2011/9/20
Abstract: Let (G, *) be a semigroup, D subset of G, and n >= 2 be an integer. We say that (D, *) is an n-closed subset of G if a_1* ... *a_n in D for every a_1, ..., a_n in D. Hence every closed set i...
Two characterization of BV functions on Carnot groups via the heat semigroup
Functions of bounded variation perimeters Carnot groups Heat semigroup
2011/9/15
Abstract: In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclidean spaces,...
Characterization of hyperbolicity and generalized shadowing lemma
Hyperbolicity Lyapunov exponents shadowing Anosov maps
2011/9/13
Abstract: J. Mather characterized uniform hyperbolicity of a discrete dynamical system as equivalent to invertibility of an operator on the set of all sequences bounded in norm in the tangent bundle o...
On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'
R-Fuchsian groups complex hyperbolic plane Geometric Topology
2011/8/31
Abstract: We indicate a C-Fuchsian counter-example to the result with the above title announced at this http URL and prove a stronger statement.
Toric Stacks II: Intrinsic Characterization of Toric Stacks
Toric Stacks II fan stack moduli Algebraic Geometry
2011/9/1
Abstract: The purpose of this paper and its prequel (Toric Stacks I) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in [Laf02, B...
Unique path partitions: Characterization and Congruences
binary partitions unique path partitions rim hooks symmetric group character values congruences
2011/8/26
Abstract: We give a complete classification of the unique path partitions and study congruence properties of the function which enumerates such partitions.
On a characterization of Arakelian sets
Uniform approximation in the complex domain Arakelian set simply connected open set
2011/8/23
Abstract: Let $K$ be a compact set in the complex plane $\C$, such that its complement in the Riemann sphere, $(\C\cup\{\infty\})\sm K$, is connected. Also, let $U\subseteq\C$ be an open set which con...
A characterization of simplicial localization functors
characterization simplicial localization functors
2011/1/19
We characterize simplicial localization functors among relative functors from relative categories to simplicial categories as any choice of ho-motopy inverse to the delocalization functor of Dwyer and...
Counting in Graph Covers: A Combinatorial Characterization of the Bethe Entropy Function
Graph Covers Combinatorial Characterization Bethe Entropy Function
2011/1/14
We present a combinatorial characterization of the Bethe entropy function of a factor graph, such a characterization being in contrast to the original, analytical, definition of this
function. We ach...
A new characterization of Carmichael numbers via a generalization of Lehmer's totient problem
new characterization Carmichael numbers generalization of Lehmer's totient problem
2011/1/20
Lehmer’s totient problem consists of determining the set of positive integers n such that '(n)|n − 1 where ' is Euler’s totient function. Any such composite number is a Carmichael number.