作者：Bruin, H; Keller, G; Nowicki, T; vanStrien, S
摘要：In this paper we shall show that there exists a polynomial unimodal map f: [0, 1] --> [0, 1] with so-called Fibonacci dynamics which is non-renormalizable and in particular, for each x from a residual set, omega(x) is equal to an interval (here omega(x) is defined to be the set of accumulation points of the sequence x, f(x), f(2)(x), ...); for which the closure of the forward orbit of the critical point c, i.e., omega(c), is a Canter set and for which w(x) = w(c) for Lebesgue-almost all x. So ...
作者：Thakur, DS
摘要：We prove that many values at proper fractions of the gamma function for F-q[T] (introduced by Carlitz and Goss) are transcendental over F-q (T). In particular, (n - 1/b)! is transcendental for any integer n and a positive integer b > 1, prime to q. Our proof is based on the transcendence criterion of Christol.
作者：Fintushel, R; Stern, RJ
作者：Eliashberg, Y; Polterovich, L
摘要：1.1. The problem of Lagrangian knots. In this paper we prove the following: THEOREM 1.1.A. Any flat at infinity Lagrangian embedding of R(2) into the standard symplectic R(4) is isotopic to the flat embedding via an ambient compactly supported Hamiltonian isotopy of R(4).
作者：Mattila, P; Melnikov, MS; Verdera, J
