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SURFACE GROUP REPRESENTATIONS TO SL(2, C) AND HIGGS BUNDLES WITH SMOOTH SPECTRAL DATA
SURFACE GROUP SL(2, C) HIGGS BUNDLES SPECTRAL DATA
2015/12/17
We show that for every nonelementary representation of a surface group into SL(2, C) there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the d...
The study of the spectrum of the Laplace operator has produced an extensive literature. (See [Cha] and the references therein.) Of special interest to recent applications has been the behavior of spec...
Smoothed weighted empirical likelihood ratio confidence intervals for quantiles
bootstrap doubly censored data empirical likelihood interval censored data partly interval censored data right censored data
2015/12/11
Thus far, likelihood-based interval estimates for quantiles have not been studied in the literature on interval censored case 2 data and partly interval censored data, and, in this context, the use of...
Goodness of fit tests with interval censored data
bootstrap leveraged bootstrap parametric family goodness of fit test
2015/12/11
Cramer–von Mises type goodness of fit tests for interval censored data case 2 are proposed based on a resampling method called the leveraged bootstrap,and their asymptotic consistency is shown.The pro...
Frames which are tight might be considered optimally conditioned in the sense of their numerical stability.This leads to the question of perfect preconditioning of frames,i.e., modification of a given...
Gabor Analysis in Weighted Amalgam Spaces
Amalgam spaces frames Gabor expansions Gabor frames modulation spaces phase-space sampling time-frequency analysis Walnut representation
2015/12/10
Gabor frames {e2πinβ·xg(x − kα)}n,k∈Zd provide series representations not only of functions in L2(Rd) but of the entire range of spaces Mν p,q known as the modulation spaces. Membership of a fun...
EMBEDDINGS OF SOME CLASSICAL BANACH SPACES INTO MODULATION SPACES
Besov space modulation space Sobolev space short-time Fourier transform Triebel-Lizorkin space time-frequency analysis
2015/12/10
We give sufficient conditions for a tempered distribution to belong to certain modulation spaces by showing embeddings of some Besov-TriebelLizorkin spaces into modulation spaces. As aconsequence we h...
WEAK UNCERTAINTY PRINCIPLE FOR FRACTALS,GRAPHS AND METRIC MEASURE SPACES
Uncertainty principle p.c.f. fractal Heisenberg’s inequality measure metric spaces Poincar′ e inequality self-similar graphs Sierpinski ′ gasket uniform finitely ramified graphs
2015/12/10
We develop a new approach to formulate and prove the weak uncertainty inequality which was recently introduced by Okoudjou and Strichartz.We assume either an appropriate measure growth condition with ...
Prime tight frames
divisible frames equiangular tight frames frames harmonic tight frames prime frames spectral tetris frames tight frames
2015/12/10
We introduce a class of finite tight frames called prime tight frames and prove some of their elementary properties. In particular, we show that any finite tight frame can be written as a union of pri...
FINITE TWO-DISTANCE TIGHT FRAMES
Spherical two-distance sets finite tight frames strongly regular graphs spherical 2-designs spherical designs of harmonic index 2
2015/12/10
A finite collection of unit vectors S ⊂ Rn is called a spherical two-distance set if there are two numbers a and b such that the inner products of distinct vectors from S are either a or b. We p...
Steady advection–diffusion around finite absorbers in two-dimensional potential flows
Steady advection–diffusion finite absorbers two-dimensional potential flows
2015/10/16
We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
Generalized Iteration Method for First-Kind Integral Equations
Generalized Iteration Method First-Kind Integral Equations
2015/10/16
An iteration method is described to solve one-dimensional, first-kind integral equations with finite integration limits and difference kernel, K(x − x), that decays exponentially. The method re...
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 ...
A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM
Dispersive estimates interaction Morawetz type (correlation) estimates many-body Hamiltonian many-body Schrodinger equation quantum hydrodynamics BBGKY hierarchy
2015/10/16
We study the evolution of a many-particle system whose wave function obeys the N-body Schr¨ odinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the...
Facet evolution on supported nanostructures:Effect of finite height
Facet evolution nanostructures finite height
2015/10/16
The surface of a nanostructure relaxing on a substrate consists of a finite number of interacting steps and often involves the expansion of facets. Prior theoretical studies of facet evolution have fo...