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Contracting Convex Immersed Closed Plane Curves with Slow Speed of Curvature
Convex Immersed Closed Plane Curves Slow Speed of Curvature
2010/12/13
We study the contraction of a convex immersed plane curve with speed 1 k , where ∈ (0, 1] is a constant and show that, if the blow-up rate of the curvature is of type one, it will converge to a homo...
Efron's curvature of the structural gradient model
Efron's curvature structural gradient model
2010/12/9
The structural gradient model is a multivariate statistical model in order to extract various interactions of given data set. In this note, we show that Efron’s statistical curvature of the structural...
In this paper, we extend the study of local scales of a function [JL09] to studying local scales on curves and surfaces. In the case of a function f, the local scales of f at x is computed by measurin...
Algorithms for Del Pezzo Surfaces of Degree 5 (Construction, Parametrization)
Algorithms Del Pezzo Surfaces of Degree 5
2010/12/9
It is well known that every Del Pezzo surface of degree 5 defined over k is parametrizable over k. In this paper we give an efficient construction for parametrizing, as well as algorithms for construc...
Determination of time-dependent coefficients for a hyperbolic inverse problem
time-dependent coefficients hyperbolic inverse problem
2010/12/9
We consider an inverse boundary value problem for the hyperbolic partial differential equation
(−i@t+A0(t, x))2u(t, x)−Xn j=1−i@xj+Aj(t, x)2 u(t, x)+V (t, x)u(t, x) = 0 w...
Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space
hyperbolic space developable surface null curve K¨ahler and para-K¨ahler structure
2010/12/9
In this paper, we parametrize the space of isometric immersions of the hyperbolic plane into the hyperbolic 3-space in terms of null-causal curves in the space of oriented geodesics. Moreover, we char...
On the consistency of the quantum-like representation algorithm for hyperbolic interference
Born’s rule problem hyperbolic interference hyper trigono-metric interference
2010/12/15
Recently quantum-like representation algorithm (QLRA) was intro-duced by A. Khrennikov [20]–[28] to solve the so-called “inverse Born’s rule problem”: to construct a representation of probabilistic da...
Results on the Ratliff-Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves
Monomial curves normal ideals Ratliff-Rush closure integral closure monomial ideals
2010/11/30
Starting from [1] we compute the Groebner basis for the defining ideal,P, of the monomial curves that correspond to arithmetic sequences, and then give an elegant description of the generators of powe...
On Some Characterizations of Ruled Surface of a Closed Spacelike Curve with Timelike Binormal in Dual Lorentzian Space
Spacelike dual curve ruled surface Lorentzian space dual num-bers
2010/12/6
In this paper, we investigate the relations between the pitch, the angle of pitch and drall of parallel ruled surface of a closed spacelike curve with timelike binormal in dual Lorentzian space.
A geometric criterion for the non-uniform hyperbolicity of the Kontsevich--Zorich cocycle
geometric criterion non-uniform hyperbolicity Kontsevich--Zorich cocycle
2010/12/10
We prove a geometric criterion on a SL(2,R)-invariant ergodic probability measure on the moduli space of holomorphic abelian differentials on Riemann surfaces for the non-uniform hyperbolicity of the ...
A mean curvature estimate for cylindrically bounded submanifolds
mean curvature estimate cylindrically bounded submanifolds
2010/12/10
We extend the estimate obtained in [1] for the mean curvature of a cylindrically bounded proper submanifold in a product manifold with an Euclidean space as one factor to a general product ambient spa...
Hall algebras of curves, commuting varieties and Langlands duality
Hall algebras of curves commuting varieties Langlands duality
2010/11/29
We construct an isomorphism between the (universal) spherical Hall algebra of a smooth projective curve of genus g and a convolution algebra in the (equivariant) K-theory of the genus g commuting vari...
QFT on homothetic Killing twist deformed curved spacetimes
QFT on homothetic Killing twist curved spacetimes
2010/11/30
We study the quantum field theory (QFT) of a free, real and massless scalar field on self-similar symmetric spacetimes, which are deformed by an abelian Drinfel’d twist constructed
from a Killing and...
Linking, twisting, writhing and helicity on the 3-sphere and in hyperbolic 3-space
Linking twisting writhing helicity 3-sphere and in hyperbolic 3-space
2010/12/8
In the rst paper of this series, \Electrodynamics and the Gauss Linking Integral on the 3-sphere and in hyperbolic 3-space," we developed a steady-state version of classical electrodynamics in these ...
Selfdecomposable Laws Associated with Hyperbolic Functins
Hyperbolic characteristic functions class L or SD probability distribution
2010/12/8
t is shown that the hyperbolic functions can be associated with selfdecomposable distributions (in short: SD probability distributions or L´evy class L probability laws). Consequently, they admi...