DM
2010
13 years 3 months ago
2010
We show that for every x1, . . . , xn, y1, . . . , yn ∈ S1 there exists i ∈ {1, . . . , n} such that n k=1 d(xi, xk) ≤ n k=1 d(xi, yk), where S1 is the unit circle and d is ...
JAT
2007
13 years 4 months ago
2007
Rakhmanov’s theorem for orthogonal polynomials on the unit circle gives a sufficient condition on the orthogonality measure for orthogonal polynomials on the unit circle, in orde...
MOC
1998
13 years 4 months ago
1998
Given a monic real polynomial with all its roots on the unit circle, we ask to what extent one can perturb its middle coefficient and still have a polynomial with all its roots on ...
AMC
1999
13 years 4 months ago
1999
The stability of the equilibria of time-invariant nonlinear dynamical systems with discrete time scale is investigated. We present an elementary proof showing that in the case of ...
JAT
2006
13 years 4 months ago
2006
We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This ...
JAT
2006
13 years 4 months ago
2006
Abstract. For measures on the unit circle with convergent Verblunsky coefficients we find relations in form of inequalities between these coefficients and the distances from mass p...
COMBINATORICS
2006
13 years 4 months ago
2006
A "hybrid method", dedicated to asymptotic coefficient extraction in combinatorial generating functions, is presented, which combines Darboux's method and singulari...
CDC
2009
IEEE
13 years 9 months ago
2009
IEEE
— We present a near-optimal deterministic filter for systems that evolve on the unit circle. Unlike suboptimal filtering algorithms that rely on approximations of the system, t...
CVPR
2004
IEEE
14 years 6 months ago
2004
IEEE
The study of 2D shapes and their similarities is a central problem in the field of vision. It arises in particular from the task of classifying and recognizing objects from their ...