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Low-frequency currents induced in adjacent spherical cells
Low-frequency currents adjacent spherical cells
2015/10/16
The currents induced inside cells by external electric fields in the frequency range 50–60 Hz are studied analytically by accounting for thin cell membranes with transverse conductivity that is small ...
Bounding hyperbolic and spherical coefficients of Maass forms, with V. Blomer, F. Brumley and A. Kontorovich
Maass forms Fourier coeffcients geodesics periods equidistribution Sobolev norms wave front lemma
2015/8/25
We develop a new method to bound the hyperbolic and spherical Fourier coecients of Maass forms de ned with respect to arbitrary uniform lattices.
De nition 2.0.1. A representation (;X) on a Hilbert space
X is called unitary if X admits a (nondegenerate) inner product
h ; i such that G acts by unitary transformations.
Spherical Unitary dual for quasisplit real groups
quasisplit real groups Spherical Unitary
2015/8/17
G is the real points of a linear connected reductive group.
- g0 := Lie(G), Cartan involution, g0 = k0 + s0, g := (g0)C, K
maximal compact subgroup, g = k + s,
- P = MAN minimal parabolic subgrou...
SPHERICAL UNITARY DUAL FOR COMPLEX CLASSICAL GROUPS
CLASSICAL GROUPS SPHERICAL UNITARY DUAL
2015/8/17
The full unitary dual for the complex classical groups viewed as real Lie
groups is computed in [B1]. This was close to 20 years ago. Since then there
have been many advances, but the general proble...
SPHERICAL UNITARY REPRESENTATIONS FOR SPLIT REAL AND P-ADIC GROUPS
UNITARY REPRESENTATIONS P-ADIC GROUPS
2015/8/17
1.1. Positive de nite functions. We start with the classical notion of
positive de nite functions.
De nition. A continuous function f : R ! C is called positive de nite if
it satis es
(1...
In the two-dimensional rotor-router walk (defined by Jim Propp and presented beautifully in [4]), the first time a particle leaves a site x it departs east; the next time this or another particle leav...
Spherical Asymptotics for the Rotor-Router Model in Zd
Spherical Asymptotics Rotor-Router Model Zd
2015/8/14
The rotor-router model is a deterministic analogue of random walk invented by Jim Propp. It can be used to definea deterministic aggregation model analogous to internal diffusion limited aggregation. ...
Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile
Strong Spherical Asymptotics Rotor-Router Aggregation Divisible Sandpile
2015/8/14
The rotor-router model is a deterministic analogue of random walk.It can be used to define a deterministic growth model analogous to internal DLA. We prove that the asymptotic shape of this model is a...
THE BASIC TOPOLOGY MODEL OF SPHERICAL SURFACE DIGITAL SPACE
SGDM manifold spherical surface digital space
2015/7/6
SGDM (Sphere Grid Data Model) is an efficient method to deal with the global data because of the advantages of multi-resolution and
hierarchy. However, SGDM has no distinct descriptions and lack of r...
Residual automorphic forms and spherical unitary representations of exceptional groups
Arthur’s conjectures unitary dual residual Eisenstein series automorphic realizations
2012/5/25
Arthur has conjectured that the unitarity of a number of representations can be shown by finding appropriate automorphic realizations. This has been verified for classical groups by Moeglin and for th...
Spherical Indicatrices of Involute of a Space Curve in Euclidean 3-Space
Involute curve Evolute curve Helix, Slant helix Spherical indicatrix
2012/4/16
In this work, we studied the properties of the spherical indicatrices of involute curve of a space curve and presented some characteristic properties in the cases that involute curve and evolute curve...
Inversion Formulas for the Spherical Means in Constant Curvature Spaces
The spherical mean Radon transform thermoacoustic tomography the method of analytic continuation
2011/9/23
Abstract: The work develops further the theory of the following inversion problem, which plays the central role in the rapidly developing area of thermoacoustic tomography and has intimate connections...
The normalizers of solvable spherical subgroups
Algebraic group spherical subgroup solvable subgroup normalizer
2011/9/21
Abstract: For an arbitrary connected solvable spherical subgroup H of a connected semisimple algebraic group G we compute the group N_G(H), the normalizer of H in G. Thereby we complete a classificati...
On epimorphisms of spherical Moufang buildings
spherical Moufang buildings epimorphisms Combinatorics
2011/9/16
Abstract: In this paper we classify the the epimorphisms of irreducible spherical Moufang buildings (of rank at least 2) defined over a field. As an application we characterize indecomposable epimorph...