Fekete Péter 90 éves

Péter Major

This paper discusses an interesting result of Lata la [3] about the tail behaviour of Gaussian polynomials. I found it useful to present a new, more detailed version of Lata la’s rather concise proof by putting emphasis on its main ideas. I applied several ideas of the original work, but introduced some different arguments as well. I tried to explain the method of the proof by discussing the pi...

Fekete Points

In this communication we present a new method to estimate Fekete points on surfaces. Our method works in a general setting, in the sense that we can obtain good estimations of the Fekete points on piecewise regular surfaces. The determination of Fekete points in the unit sphere is considered as a model of a highly non-linear optimization problem with non-linear constraints. In fact, obtaining a...

Zeros of Fekete Polynomials

Estimation of Fekete points

In this paper we present a procedure for the numerical estimation of the Fekete points of a wide variety of compact sets in IR. We understand the problem of the Fekete points in terms of the identification of nearly equilibrium configurations for a potential energy that depends on the relative position of N particles. The compact sets for which our procedure has been designed can be described b...

Subwords in reverse - complement order - Extended abstract ∗ Péter

We examine finite words over an alphabet Γ = {a, ā; b, b̄} of pairs of letters, where each word w1w2...wt is identified with its reverse complement w̄t...w̄2w̄1 (where ā = a, b̄ = b). We seek the smallest k such that every word of length n, composed from Γ, is uniquely ∗This work was supported, in part, by Hungarian NSF, under contract Nos. AT48826, NK62321, F043772, N34040, T34702, T37846, T43758, ...