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THE LOW-FREQUENCY ELECTRIC FIELDS INDUCED IN A SPHERICAL CELL INCLUDING ITS NUCLEUS
LOW-FREQUENCY ELECTRIC FIELDS INDUCED SPHERICAL CELL NUCLEUS
2015/10/16
After a review of work leading to the determination of the electric field induced in the human body when exposed to the electromagnetic field near an extremely-low-frequency high-voltage transmission ...
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 ...
Trade-off between seismic source detail and crustal heterogeneities in spherical 3D finite element modeling: a 2004 Sumatra earthquake case study
finite element method 3D modeling static deformation
2015/8/27
Finite-element methods are a powerful numerical simulation tool for modeling seismic events, as they allow three-dimensional complex models to be solved. We used a three-dimensional finite-element app...
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...
Non-singular spherical harmonic expressions of geomagnetic vector and gradient tensor fields in the local north-oriented reference frame
Non-singular spherical harmonic geomagnetic vector gradient tensor fields local north-oriented reference frame
2015/8/6
General expressions of magnetic vector (MV) and magnetic gradient tensor (MGT) in terms of the first- and second-order derivatives of spherical harmonics at different degrees/orders are relatively com...
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...
Influence of the Ringwoodite-Perovskite transition on mantle convection in spherical geometry as a function of Clapeyron slope and Rayleigh number
Ringwoodite-Perovskite transition mantle convection spherical geometry Clapeyron slope Rayleigh number
2014/12/31
We investigate the influence on mantle convection of the negative Clapeyron slope ringwoodite to perovskite and ferro-periclase mantle phase transition, which is correlated with the seismic discontinu...
On the analytic approximation of bulk collision rates of non-spherical hydrometeors
Hydrometeorological microphysics parameterization rain snow the terminal settling velocity
2014/12/18
Analytic approximations of the binary collision rates of hydrometeors are derived for use in bulk microphysical parameterizations. Special attention is given to non-spherical hydrometeors like raindro...