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THE VISITS TO ZERO OF A RANDOM WALK DRIVEN BY AN IRRATIONAL ROTATION
RANDOM WALK DRIVEN IRRATIONAL ROTATION
2015/9/29
The method is to nd the asymptotic behavior of the ergodic sums of L1
functions for linear
ows on the in nite staircase surface.
Our methods also provide a new proof of J. Beck's central limit th...
PARALLEL CHIP-FIRING ON THE COMPLETE GRAPH;DEVIL’S STAIRCASE AND POINCARE ROTATION NUMBER
PARALLEL CHIP-FIRING COMPLETE GRAPH DEVIL’S STAIRCASE POINCARE ROTATION NUMBER
2015/8/14
We study how parallel chip-firing on the complete graph Kn changes behavior as we vary the total number of chips. Surprisingly,the activity of the system, defined as the average number of firings per ...
A Fast Classification Method for Single-Particle Projections with a Translation and Rotation Invariant
Classification Fourier transform Translationand rotation invariant Secondary-class.
2012/8/7
The aim of the electron microscopy image classification is to categorize the projection
images into different classes according to their similarities. Distinguishing images
usually requires that the...
On the equivariant cohomology of rotation groups and Stiefel manifolds
cohomology of rotation groups Stiefel manifolds Algebraic Topology
2011/9/22
Abstract: In this paper, we compute the $RO(\mathbb{Z}/2)$-graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.
Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number
circle diffeomorphism rotation number Liouville number conjugacy invariant measure fast approximation by conjugation
2011/9/23
Abstract: Given any Liouville number $\alpha$, it is shown that various subspaces are $C^\infty$-dense in the space of the orientation preserving $C^\infty$ diffeomorphisms of the circle with rotation...
Prime end rotation numbers of invariant separating contunua of annular homeomorphisms
continuum rotation set prime end rotation number Brouwer line
2011/1/18
Let f be a homeomorphism of the closed annulus A isotopic to the identity, and let X IntA be an f-invariant continuum which separates A into two domains, the upper domain U+ and the lower domain U&#...
Transitivity and rotation sets with nonempty interior for homeomorphisms of the 2-Torus
Torus homeomorphisms rotation set transitivity omega limits
2011/1/18
We show that, if f is a homeomorphism of the 2–torus isotopic to the identity, and its lift e f is transitive, or even if it is transitive outside of the lift of the elliptic islands, then (0, 0) is i...
Influences of rotation, magnetic field, initial stress, and gravity on Rayleigh waves in a homogeneous orthotropic elastic half-space
Electric intensity initial-stress, rotation Rayleigh wave velocity
2010/9/20
The aim of this paper is to investigate the influences of rotation, magnetic field, initial stress, and gravity field on Rayleigh waves in a homogeneous orthotropic elastic medium. The government equa...
We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype model problem for our results we consider parameter dependent families of eigenval...
Rotation sets of invariant separating continua of annular homeomorphisms
annular homeomorphisms math
2010/11/19
Let $f$ be a homeomorphism of the closed annulus $A$ isotopic to the identity, and let $X\subset {\rm Int}A$ be an $f$-invariant continuum which separates $A$ into two domains, the upper domain $U_+$...
On the Cauchy Problem for nonlinear Schrödinger equations with rotation
Nonlinear Schr¨odinger equation Bose-Einstein condensation rotation
2010/12/9
We consider the Cauchy problem for (energy-subcritical) nonlinear Schr¨odinger equations with sub-quadratic external potentials and an additional angular momentum rotation term. This equation is a wel...
Spectral Properties of Grain Boundaries at Small Angles of Rotation
Schr¨odinger operators eigenvalues spectral gaps
2010/12/9
We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential V : R2 → R, we let V#(x, y) = V (x, y) in the rig...
Rotation-Invariant Texture Analysis and Classification by Artificial Neural Networks and Wavelet Transform
Texture Wavelet transform Artificial neural networks Classification
2009/10/13
A large number of approaches for texture analysis have been suggested for the purpose of texture classification. Recently, wavelet frames were proposed for texture features extraction. In this study, ...
On the dual Bishop Darboux rotation axis of the dual space curve
Dual space curve Dual Bishop frame Dual parallel transport frame Dual Bishop Darboux vector Dual Bishop Darboux rotation axis
2009/1/4
In this paper, the Dual Bishop Darboux rotation axis for dual
space curve in the dual space D3 is decomposed in two simultaneous ro-
tation. The axes of these simultaneous rotations are joined by a ...
The Strongly Simple Cycles with Given Rotation Pairs of an Interval Map
interval map strongly simple cycle rotation pair
2007/12/11
In this paper, we introduce the notion of the strongly simple cycles with some rotation pair for interval maps and prove that, if an interval map has a cycle with given rotation pair, then it has a st...