Let A and B be convex sets in containing the origin which are invariant under rotation around the origin by a 2[pi]/k angle, k=2,3,4,5,... . In this paper we establish the correlation inequality P(A[intersection]B)[greater-or-equal, slanted]P(A)P(B) under the N2(0,I2) distribution of X, for...

We prove a theorem establishing a direct link between macroscopically observed periodic motions and certain subsets of intrinsically discrete orbits which are selected naturally by the dynamics from the skeleton of unstable periodic orbits (UPOs) underlying classical and quantum dynamics. As a...