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Linear systems associated to unicuspidal rational plane curves
Linear systems associated unicuspidal rational plane curves
2012/2/29
A curve C in the projective plane is called non-negative if the self-intersection number of C after the minimal resolution of singularities of C is non-negative. Given a unicuspidal rational plane cur...
On the Lyapounov exponents of Schrodinger operators associated with the standard map
Lyapounov exponents Schrodinger operators associated standard map
2012/3/1
It is shown that Schrodinger operators defined from the standard map have positive (mean) Lyapounov exponents for almost all energies.
An operator inequality associated with Hilbert's type integral inequality
mathematical analysis integral operator Beta function Hilbert's type integral inequality
2011/9/29
In the paper, by using the way of weight functions and the theory of operators, we define a new Hilbert-type integral operator and obtain its norm. As applications, a Hilbert-type operator inequality ...
Connected Quandles Associated with Pointed Abelian Groups
Connected Quandles Pointed Abelian Groups Rings and Algebras
2011/9/22
Abstract: A quandle is a self-distributive algebraic structure that appears in quasi-group and knot theories. For each abelian group A and c \in A we define a quandle G(A, c) on \Z_3 \times A. These q...
Hardy Spaces $H_L^p({\mathbb R}^n)$ Associated to Operators Satisfying $k$-Davies-Gaffney Estimates
Hardy space Hardy-Sobolev space k-Davies-Gaffney estimate Schrodinger type operator
2011/9/21
Abstract: Let $L$ be a one to one operator of type $\omega$ having a bounded $H_\infty$ functional calculus and satisfying the $k$-Davies-Gaffney estimates with $k\in{\mathbb N}$. In this paper, the a...
Numerical analysis of minimal beta-sequences associated with a family of entire functions
Numerical analysis Entire functions Pochhammer polynomials Riemann Xi-function
2011/9/22
Abstract: The Riemann Xi-function Xi(t)=xi(1/2+it) is a particularly interesting member of a broad family of entire functions which can be expanded in terms of symmetrized Pochhammer polynomials depen...
Endpoint Boundedness of Riesz Transforms on Hardy Spaces Associated with Operators
Riesz transform Davies-Gaffney estimate Schrodinger operator second order elliptic operator Hardy space
2011/9/21
Abstract: Let $L_1$ be a nonnegative self-adjoint operator in $L^2({\mathbb R}^n)$ satisfying the Davies-Gaffney estimates and $L_2$ a second order divergence form elliptic operator with complex bound...
Lower bounds for finiteness of generalized local cohomology modules and their associated primes
Generalized local cohomology modules associatted prime Serre subcategories
2011/9/20
Abstract: Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, $M$ a finite $R$--module and $X$ an arbitrary $R$--module. In this paper, we study relations between f...
Exceptional sets of projections, unions of k-planes, and associated transforms
dimension projection k-plane Fourier transform
2011/9/20
Abstract: We prove a generalization of a result of Peres and Schlag on the dimensions of certain exceptional sets of projections and then apply it to a geometric problem.
Sperner property and finite-dimensional Gorenstein algebras associated to matroids
Sperner property finite-dimensional Gorenstein algebras matroids Commutative Algebra
2011/9/21
Abstract: We prove the Lefschetz property for a certain class of finite-dimensional Gorenstein algebras associated to matroids. Our result implies the Sperner property of the vector space lattice. We ...
Graphs associated with the map $x \mapsto x+x^{-1}$ in finite fields of characteristic two
Graphs finite fields of characteristic two Number Theory
2011/9/19
Abstract: In this paper we study the structure of the graphs associated with the iterations of the map $x \mapsto x+x^{-1}$ over finite fields of characteristic two. Formulas are given for the length ...
Vanishing Mean Oscillation Spaces Associated with Operators Satisfying Davies-Gaffney Estimates
metric measure space operator bounded H∞ functional calculus DaviesGaffney estimate Orlicz function
2011/9/19
Abstract: Let $(\mathcal{X}, d, \mu)$ be a metric measure space, $L$ a linear operator which has a bounded $H_\infty$ functional calculus and satisfies the Davies-Gaffney estimate, $\Phi$ a concave fu...
A canonical linear system associated to adjoint divisors in characteristic $p > 0$
Linear system test ideal multiplier ideal base-point-free ample characteristic p > 0
2011/9/15
Abstract: Suppose that $X$ is a projective variety over an algebraically closed field of characteristic $p > 0$. Further suppose that $L$ is an ample (or more generally in some sense positive) divisor...
On a Devil's staircase associated to the joint spectral radii of a family of pairs of matrices
Joint spectral radius Devil’s staircase finiteness conjecture Sturmian sequence balanced word
2011/9/14
Abstract: The joint spectral radius of a finite set of real d x d matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous wor...
Index character associated to the projective Dirac operator
twisted index theory Clifford module K-Theory and Homology Differential Geometry
2011/9/9
Abstract: We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the p...