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Description of limits of ranges of iterations of stochastic integral mappings of infinitely divisible distributions
completely selfdecomposable distribution infinitely divisible dis-tribution
2011/1/17
For infinitely divisible distributions on Rd the stochastic integral map-ping f is defined as the distribution of improper stochastic integral R∞−0 f(s)dX() s ,where f(s) is a non-random f...
Large-scale interval and point estimates from an empirical Bayes extension of confidence posteriors
Large-scale interval point estimates empirical Bayes extension confidence posteriors
2011/3/4
In statistical genomics, bioinformatics, and neuroinformatics, truth values of multiple
hypotheses are often modeled as random quantities of a common mixture distribution in order to estimate false d...
On the defective gauge and Yukawa fields in graphene
defective gauge Yukawa fields graphene
2011/3/4
In the hexagonal lattice Hubbard model describing the electronic structure of graphene we consider deformations associated with defects which correspond to operators involving interactions up to next-...
Igusa's p-adic local zeta function associated to a polynomial mapping and a polynomial integration measure
Igusa's p-adic local zeta function associated polynomial mapping polynomial integration measure
2011/2/25
For p prime, we give an explicit formula for Igusa’s local zeta function associated to a polynomial mapping f = (f1, . . . , ft) : Qn p ! Qt p,with f1, . . . , ft 2 Zp[x1, . . . , xn], and an integrat...
A maximin characterization of the escape rate of nonexpansive mappings in metrically convex spaces
maximin characterization escape rate of nonexpansive mappings
2011/2/24
We establish a maximin characterization of the linear escape rate of the orbits
of a nonexpansive mapping on a complete (hemi-)metric space, under a mild form
of Busemann’s nonpositive curvature con...
A survey of the Poincaré Center Problem in degree 3 using finite field heuristics
survey Poincaré Center Problem degree 3
2011/2/21
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
Dynamics of continued fractions and kneading sequences of unimodal maps
Dynamics of continued fractions kneading sequences of unimodal maps
2011/1/20
The goal of this paper is to provide a link between the parameter spaces of two families of one-dimensional dynamical systems, and to shed some light onto some sets of numbers which arise as “exceptio...
On the infimum attained by a reflected Lévy process
L´ evy processes fluctuation theory Queues heavy tails large deviations
2011/1/18
This paper considers a L´evy-driven queue (i.e., a L´evy process reflected at 0), and focuses
on the distribution of M(t), that is, the minimal value attained in an interval of length t (...
Stable cohomology of the universal Picard varieties and the extended mapping class group
moduli spaces Picard variety stable cohomology
2011/1/18
We compute the stable cohomology of the universal Picard stack Pic g ! M g, and also its Picard group. The degree zero Picard stack Pic0 g has homotopy type the classifying space of Kawazumi’s extende...
On the number of factors in the unipotent factorization of holomorphic mappings into $\text{SL}_2(\mathbb{C})$
number of factors unipotent factorization of holomorphic $\text{SL}_2(\mathbb{C})$
2011/1/18
We estimate the number of unipotent elements needed to factor a null-homotopic holomorphic map from a finite dimensional reduced Stein spaces X into SL2(C) .
Burkholder integrals, Morrey's problem and quasiconformal mappings
Rank-one-convex Quasi-convex Variational Integrals
2011/1/17
Inspired by Morrey's Problem (on rank-one convex functionals)and the Burkholder integrals (of his martingale theory) we nd that the Burkholder functionals Bp, p > 2.
The Global Stability of the Minkowski Spacetime Solution to the Einstein-Nonlinear Electromagnetic System in Wave Coordinates
Born-Infeld canonical stress energy currents global existence Hardy inequality Klainerman-Sobolev inequality
2010/12/14
In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields.
On Higher Derivatives as Constraints in Field Theory: a Geometric Perspective
Higher Derivative Field Theory Fiber Bundles Jet Bundles
2010/12/15
We formalize geometrically the idea that the (de Donder) Hamiltonian formu-lation of a higher derivative Lagrangian field theory can be constructed under-standing the latter as a first derivative theo...
Higher-order derivatives of the QR and of the real symmetric eigenvalue decomposition in forward and reverse mode algorithmic differentiation
univariate Taylor polynomial arithmetic higher-order derivatives QR decomposition real symmetric eigenvalue decomposition
2010/12/15
We address the task of higher-order derivative evaluation of computer programs that contain QR
decompositions and real symmetric eigenvalue decompositions. The approach is a combination of univariate...
A completely positive map associated with a positive map
completely positive map associated positive map
2010/12/14
We show that each positive map from B(K) to B(H) is a scalar mul-tiple of a map of the form T r − with completely positive. This is used to give necessary and sufficient conditions for maps ...
