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Dynamical Formation of Spherical Domain Wall by Hawking Radiation and
, 2002
"... We discuss the Hawking radiation in the HiggsYukawa system and we show dynamical formation of a spherical domain wall around the black hole. The formation of the spherical wall is a general property of the black hole whose Hawking temperature is equal to or greater than the energy scale of the syst ..."
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We discuss the Hawking radiation in the HiggsYukawa system and we show dynamical formation of a spherical domain wall around the black hole. The formation of the spherical wall is a general property of the black hole whose Hawking temperature is equal to or greater than the energy scale
ENERGY OF SOLENOIDAL VECTOR FIELDS ON SPHERICAL DOMAINS
"... Abstract. We present a “boundary version ” of a theorem about solenoidal unit vector fields with minimum energy on a spherical domain of an odd dimensional Euclidean sphere. 1. Introduction. Let (M, g) be a closed, ndimensional Riemannian manifold and T 1M the unit tangent bundle of M considered a ..."
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Abstract. We present a “boundary version ” of a theorem about solenoidal unit vector fields with minimum energy on a spherical domain of an odd dimensional Euclidean sphere. 1. Introduction. Let (M, g) be a closed, ndimensional Riemannian manifold and T 1M the unit tangent bundle of M considered
MUTP/93/15 Effective action in spherical domains
, 1993
"... The effective action on an orbifolded sphere is computed for minimally coupled scalar fields. The results are presented in terms of derivatives of Barnes ζ–functions and it is shown how these may be evaluated. Numerical values are shown. An analytical, heatkernel derivation of the CesàroFedorov fo ..."
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The effective action on an orbifolded sphere is computed for minimally coupled scalar fields. The results are presented in terms of derivatives of Barnes ζ–functions and it is shown how these may be evaluated. Numerical values are shown. An analytical, heatkernel derivation of the CesàroFedorov formula for the number of symmetry planes of a regular solid is also presented. 1 1. Introduction. In earlier work [1] we have shown that the ζ–function, ζΓ(s), on orbifoldfactored spheres, S d /Γ, for a conformally coupled scalar field, is given by a Barnes ζ–function, [2], ζd(s, a  d), where the di are the degrees associated with the tiling group Γ. The freefield Casimir energy on the spacetime R×S d /Γ was given as the value of the ζ–
Heatkernel Coefficients and Spectra of the Vector Laplacians on Spherical Domains with Conical Singularities
"... The spherical domains Sd with conical singularities are a convenient arena for studying the properties of tensor Laplacians on arbitrary manifolds with such a kind of singular points. In this paper the vector Laplacian on Sd is considered and its spectrum is calculated exactly for any dimension d. T ..."
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Cited by 9 (1 self)
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The spherical domains Sd with conical singularities are a convenient arena for studying the properties of tensor Laplacians on arbitrary manifolds with such a kind of singular points. In this paper the vector Laplacian on Sd is considered and its spectrum is calculated exactly for any dimension d
Mean firstpassage time of surfacemediated diffusion in spherical domains
 J. Stat. Phys
"... Abstract We present an exact calculation of the mean firstpassage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on the domain boundary and phases of bulk diffusion. The presented approach is based on an integral equation whic ..."
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Cited by 7 (4 self)
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Abstract We present an exact calculation of the mean firstpassage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on the domain boundary and phases of bulk diffusion. The presented approach is based on an integral equation
Symmetry and Related Properties via the Maximum Principle
, 1979
"... We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting plan ..."
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Cited by 539 (4 self)
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plane. We treat solutions in bounded domains and in the entire space.
Lambertian Reflectance and Linear Subspaces
, 2000
"... We prove that the set of all reflectance functions (the mapping from surface normals to intensities) produced by Lambertian objects under distant, isotropic lighting lies close to a 9D linear subspace. This implies that, in general, the set of images of a convex Lambertian object obtained under a wi ..."
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Cited by 514 (20 self)
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wide variety of lighting conditions can be approximated accurately by a lowdimensional linear subspace, explaining prior empirical results. We also provide a simple analytic characterization of this linear space. We obtain these results by representing lighting using spherical harmonics and describing
Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
 In preparation; http://www.amath. washington.edu/~rjl/pubs/circles
, 2005
"... Abstract. We describe a class of logically rectangular quadrilateral and hexahedral grids for solving PDEs in circular and spherical domains, including grid mappings for the circle, the surface of the sphere and the threedimensional ball. The grids are logically rectangular and the computational do ..."
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Cited by 22 (6 self)
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Abstract. We describe a class of logically rectangular quadrilateral and hexahedral grids for solving PDEs in circular and spherical domains, including grid mappings for the circle, the surface of the sphere and the threedimensional ball. The grids are logically rectangular and the computational
The Lifting Scheme: A Construction Of Second Generation Wavelets
, 1997
"... . We present the lifting scheme, a simple construction of second generation wavelets, wavelets that are not necessarily translates and dilates of one fixed function. Such wavelets can be adapted to intervals, domains, surfaces, weights, and irregular samples. We show how the lifting scheme leads to ..."
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Cited by 541 (16 self)
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. We present the lifting scheme, a simple construction of second generation wavelets, wavelets that are not necessarily translates and dilates of one fixed function. Such wavelets can be adapted to intervals, domains, surfaces, weights, and irregular samples. We show how the lifting scheme leads
Results 1  10
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136,233