On Christoffel roots for nondetached slowness surfaces

On Christoffel classes

We characterize conjugation classes of Christoffel words (equivalently of standard words) by the number of factors. We give several geometric proofs of classical results on these words and sturmian words. Mathematics Subject Classification. 68R15.

Slowness Surface Wave Surface

Slowness in schizophrenia.

Nufferno Speed Test In this investigation we have used only the Nufferno speed test, which is designed to measure speed as distinct from general level of intelligence. It consists of 19 problems of the Thurstone letterseries type in each of which the patient is presented with series of letters and is required to add at the end of the series the letter which is appropriate to the sequence (Furne...

On Christoffel Functions and Related Quantities for Compactly Supported Measures

Let be a compactly supported positive measure on the real line, with associated orthogonal polynomials fpng. Without any global restrictions such as regularity, we discuss convergence in measure for (i) ratio asymptotics for Christo¤el functions; (ii) the Nevai operators (aka the Nevai condition); (iii) universality limits in the bulk. We also establish convergence a.e. for su¢ cently sparse su...

On the Christoffel–darboux Formula for Generalized Matrix Orthogonal Polynomials

We obtain an extension of the Christoffel–Darboux formula for matrix orthogonal polynomials with a generalized Hankel symmetry, including the Adler-van Moerbeke generalized orthogonal polynomials.