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Radon-Nikodým compact spaces of low weight and Banach spaces
Radon-Nikod´ ym compact quasi Radon-Nikod´ ym compact
2011/2/28
We prove that a continuous image of a Radon-Nikod´ym compact of weight less than b is Radon-Nikod´ym compact. As a Banach space counter-part, subspaces of Asplund generated Banach spaces o...
Annular area preserving homeomorphisms which admit no interior compact invariant sets
Area preserving homeomorphisms rotation numbers fast approxi-mation by conjugation
2011/2/28
For any irrational number , there exists an ergodic area preserv-ing homeomorphism of the closed annulus which is isotopic to the identitity,admits no compact invariant set contained in the interior ...
Stein's method and the multivariate CLT for traces of powers on the classical compact groups
random matrices compact Lie groups Haar measure traces of powers Stein’s method
2011/2/22
Let Mn be a random element of the unitary, special orthogonal, or unitary symplectic groups, distributed according to Haar measure. By a classical result of Diaconis and Shahshahani, for large matrix ...
A non-compact version of the Weyl equation is proposed, based on the spin zero rep-resentation of the sl2 algebra. Solutions of the aforementioned equation are obtained in terms of the Kummer function...
Compact Mean Convex Hypersurfaces and the Fundamental Group of Manifolds with Nonnegative Ricci Curvature
Compact Mean Convex Hypersurfaces Fundamental Group of Manifolds Nonnegative Ricci Curvature
2011/1/19
We show that the existence of an embedded compact, boundaryless hypersurface S of strictly
positive mean curvature in a noncompact, connected, complete Riemannian n-manifold N of non-
negative Ricci...
On Square Roots of the Haar State on Compact Quantum Groups
Compact quantum group Haar state normal subgroup
2011/1/20
The paper is concerned with the extension of the classical study of probability measures on a compact group which are square roots of the Haar measure, due to Diaconis and Shahshahani, to the context ...
On stable compact minimal submanifolds
stability minimal submanifolds product spaces spheres
2011/1/18
Stable compact minimal submanifolds of the product of a sphere and any Riemannian manifold are classified whenever the dimension of the sphere is at least three. The complete classification of the sta...
The virial relation for compact Q-balls in the complex signum-Gordon model
compact Q-balls complex signum-Gordon model
2010/12/22
In this work the properties of Q-balls in the complex signum-Gordon model in $d$ spatial dimensions is studied. We obtain a general virial relation for this kind of Q-ball in the higher-dimensional s...
Hawking-like radiation from evolving black holes and compact horizonless objects
Hawking-like radiation evolving black holes compact horizonless objects
2010/12/27
Usually, Hawking radiation is derived assuming (i) that a future eternal event horizon forms, and (ii) that the subsequent exterior geometry is static. However, one may be interested in either conside...
Semilinear elliptic inequalities in the exterior of a compact set
Semilinear elliptic inequalities compact set
2010/11/24
We study the semilinear elliptic inequality $-\Delta u\geq\varphi(\delta_K(x))f(u)$ in $R^N\setminus K,$ where $\varphi, f$ are non-negative and continuous functions, $K\subset R^N$ $(N\geq 2)$ is a ...
We show that for any compact connected group G the second cohomology group defined by unitary invariant 2-cocycles on \hat G is canonically isomorphic to H^2(\widehat{Z(G)};T). This implies that the ...
The spin parameter of uniformly rotating compact stars
spin parameter of uniformly compact stars
2010/12/21
We study the dimensionless spin parameter j (= cJ/(GM2)) of uniformly rotating neutron stars
and quark stars in general relativity. We show numerically that the maximum value of the spin
parameter o...
Lagrangian Floer theory on compact toric manifolds: survey
Lagrangian Floer theory compact toric manifolds
2010/11/23
This article is a survey of a series of papers [FOOO3,FOOO4,FOOO5] in which we developed the method of calculation of Floer cohomology of Lagrangian torus orbits in compact toric manifolds, and its a...
The Distribution of Coalescing Compact Binaries in the Local Universe: Prospects for Gravitational-Wave Observations
gravitational waves — stars neutron — binaries general
2010/11/11
Merging compact binaries are the most viable and best studied candidates for gravitational wave
(GW) detection by the fully operational network of ground-based observatories. In anticipation of the f...
The Distribution of Coalescing Compact Binaries in the Local Universe: Prospects for Gravitational-Wave Observations
Distribution Compact Binaries Local Universe Prospects Gravitational-Wave Observations
2010/12/21
Merging compact binaries are the most viable and best studied candidates for gravitational wave
(GW) detection by the fully operational network of ground-based observatories. In anticipation of the f...