ar X iv : m at h / 01 08 04 3 v 1 [ m at h . C O ] 6 A ug 2 00 1 Restricted set of patterns , continued fractions , and Chebyshev polynomials

ar X iv : 0 90 8 . 01 53 v 1 [ m at h . G T ] 2 A ug 2 00 9 On Fibonacci knots

We show that the Conway polynomials of Fibonacci links are Fibonacci polynomials modulo 2. We deduce that, when n 6≡ 0 (mod 4) and (n, j) 6= (3, 3), the Fibonacci knot F (n) j is not a Lissajous knot. keywords: Fibonacci polynomials, Fibonacci knots, continued fractions

ar X iv : h ep - e x / 04 08 01 4 v 1 6 A ug 2 00 4 Plans for Kaon Physics at BNL

ar X iv : m at h / 06 08 16 3 v 1 [ m at h . L O ] 7 A ug 2 00 6 IND - AND PRO - DEFINABLE SETS

We describe the indand procategories of the category of definable sets, in some first order theory, in terms of points in a sufficiently saturated model.

ar X iv : 0 80 8 . 01 80 v 2 [ m at h . N A ] 1 5 A ug 2 00 8 CUBATURE FORMULA AND INTERPOLATION ON THE CUBIC DOMAIN

Several cubature formulas on the cubic domains are derived using the discrete Fourier analysis associated with lattice tiling, as developed in [10]. The main results consist of a new derivation of the Gaussian type cubature for the product Chebyshev weight functions and associated interpolation polynomials on [−1, 1], as well as new results on [−1, 1]. In particular, compact formulas for the fu...

ar X iv : m at h / 02 08 08 7 v 1 [ m at h . O A ] 1 1 A ug 2 00 2 WHEN ARE CROSSED PRODUCTS BY MINIMAL DIFFEOMORPHISMS ISOMORPHIC ?

We discuss the isomorphism problem for both C* and smooth crossed products by minimal diffeomorphisms. For C* crossed products, examples demonstrate the failure of the obvious analog of the Giordano-PutnamSkau Theorem on minimal homeomorphisms of the Cantor set. For smooth crossed products, there are many open problems.