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ANALYSIS ON COMPACT LIE GROUPS OF LARGE DIMENSION AND ON CONNECTED COMPACT GROUPS
LIE GROUPS LARGE DIMENSION
2015/8/26
The study of Gaussian convolution semigroups is a subject at the cross-
road between abstract and concrete problems in harmonic analysis. This article suggests
selected open problems that are in lar...
THE GEOSPECTRAL CAMERA: A COMPACT AND GEOMETRICALLY PRECISE HYPERSPECTRAL AND HIGH SPATIAL RESOLUTION IMAGER
Hyper spectral multispectral georeferencing multiresolution camera
2014/4/24
Small unmanned aerial vehicles are increasingly being employed for environmental monitoring at local scale, which drives the demand for compact and lightweight spectral imagers. This paper describes t...
On Discretization of Tori of Compact Simple Lie Groups II
Discretization of Tori Compact Simple Lie Groups II Mathematical Physics
2012/6/14
The discrete orthogonality of special function families, called $C$- and $S$-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivn\'ak and Patera (2009 J...
On the Structure of Minimizers of Causal Variational Principles in the Non-Compact and Equivariant Settings
Causal Variational Principles Non-Compact and Equivariant Settings Mathematical Physics
2012/5/25
We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries. Considering first variations, we sh...
Special solutions to a compact equation for deep-water gravity waves
Special solutions compact equation deep-water gravity waves Classical Physics
2012/4/24
Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential flow of an incompress...
Analytic torsion and L^2-torsion of compact locally symmetric manifolds
analytic torsion locally symmetric manifolds Spectral Theory
2012/4/18
In this paper we study the analytic torsion and the $L^2$-torsion of compact locally symmetric manifolds. We consider the analytic torsion with respect to representations of the fundamental group whic...
Equidistribution of zeros of holomorphic sections in the non compact setting
holomorphic sections the non compact setting N-tensor powers non-compact complex manifold X
2011/7/28
Abstract: We consider N-tensor powers of a positive Hermitian line bundle L over a non-compact complex manifold X. In the compact case, B. Shiffman and S. Zelditch proved that the zeros of random sect...
Integration on Non-Compact Supermanifolds
Berezin integral Stokes's theorem change of variables non-compact supermanifold
2011/7/27
Abstract: We investigate the Berezin integral of non-compactly supported quantities. In the framework of supermanifolds with corners, we give a general, explicit and coordinate-free repesentation of t...
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...
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...
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...
Hawking-like radiation from evolving black holes and compact horizonless objects
Hawking radiation adiabatic quantum gravity black holes spacetime singularities horizons null infinity
2010/12/20
Usually, Hawking radiation is derived assuming (i) that a future eternal event horizon
forms, and (ii) that the subsequent exterior geometry is static.
A Ray-Tracing Algorithm for Spinning Compact Object Spacetimes with Arbitrary Quadrupole Moments. I. Quasi-Kerr Black Holes
black hole physics radiative transfer relativity
2010/12/21
We describe a new numerical algorithm for ray tracing in the external spacetimes of spinning compact objects characterized by arbitrary quadrupole moments. Such spacetimes describe non-Kerr vacuum sol...
Compact formulas for guiding-center orbits in axisymmetric tokamak geometry
Compact formulas guiding-center orbits axisymmetric tokamak geometry
2010/11/16
Compact formulas for trapped-particle and passing-particle guiding-center orbits in axisymmetric tokamak geometry are given in terms of the Jacobi elliptic functions and complete elliptic integrals. ...