We study a version of the fractal uncertainty principle in joint time-frequency representation. Namely, we consider Daubechies' localization operator projecting onto spherically symmetric n-iterate Cantor sets with an arbitrary base M>1 and alphabet A. derive upper bound asymptote up to multiplicative constant for norm terms M size |A| set. For any fixed size, show that there are such is optima...

Abstract. Given an algebraic surface X, the Hilbert scheme X[n] of n-points on X admits a contraction morphism to the n-fold symmetric product X(n) with the extremal ray generated by a class βn of a rational curve. We determine the two point extremal GW-invariants of X[n] with respect to the class dβn for a simply-connected projective surface X and the quantum first Chern class operator of the ...

Take a linear ordinary differential operator d(z) = Pk i=1 Qi(z) d dzi with polynomial coefficients and set r = maxi=1,...,k(degQi(z) − i). If d(z) satisfies the conditions: i) r ≥ 0 and ii) degQk(z) = k + r we call it a nondegenerate higher Lamé operator. Following the classical examples of E. Heine and T. Stieltjes we initiated in [6] the study of the following multiparameter spectral problem...

The present paper is concerned with the n–localization property and its preservation in countable support (CS) iterations. This property was first introduced in Newelski and Ros lanowski [10, p. 826]. Definition 0.1. Let n be an integer greater than 1. (1) A tree T is an n–ary tree provided that (∀s ∈ T)(|succ T (s)| ≤ n). (2) A forcing notion P has the n–localization property if P " ∀f ∈ ω ω ∃...

After the second place in RoboCup Rescue 2004, a new version of the mobile robot Kurt3D was developed in our groups during the last year [1]. The key innovation of this system lies in the capability for autonomous or operator-assisted 6D SLAM (simultaneous localization and mapping) and 3D map generation of natural scenes. Hence, Kurt3D already meets the basic requirement regarding urban search ...

The aim of this paper is to present an electromagnetic source localization technique based on independentcomponent analysis (ICA). Two ICA algorithms known from the literature, allowing to process complex-valued signals, are used to estimate the mixing operator from electromagnetic data; as the mixing operator contains important information about the source complex structure and about the elect...

We study the localization of probability distribution in a discrete quantum random walk on an infinite chain. With a phase defect introduced in any position of the quantum random walk (QRW), we have found that the localization of the probability distribution in the QRW emerges. Different localized behaviors of the probability distribution in the QRW are presented when the defect occupies differ...

This paper investigates real-time N-dimensional wideband sound source localization in outdoor (far-field) and lowdegree reverberation cases, using a simple N-microphone arrangement. Outdoor sound source localization in different climates needs highly sensitive and high-performance microphones, which are very expensive. Reduction of the microphone count is our goal. Time delay estimation (TDE)-b...