From wilbur@stars Wed Jul 16 09:14:04 1997 Return-Path: Received: from ray.nlm.nih.gov by frodo.nlm.nih.gov id JAA18653; Wed, 16 Jul 1997 09:14:04 -0400 Received: from stars.nlm.nih.gov by ray.nlm.nih.gov id JAA00532; Wed, 16 Jul 1997 09:12:18 -0400 Received: by stars.nlm.nih.gov id IAA06219; Wed, 16 Jul 1997 08:43:06 -0400 Date: Wed, 16 Jul 1997 08:43:06 -0400 From: wilbur@stars (John Wilbur) Message-Id: <199707161243.IAA06219@stars.nlm.nih.gov> To: ncbi-seminar@stars Subject: Special Seminar Friday July 18 Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Content-MD5: SZVtBZOy7uTULjGLxFo6rg== Content-Length: 1299 X-IMAPbase: 1000759419 1 Status: O X-Status: X-Keywords: X-UID: 1 Special Seminar Friday, July 18, at 11:00 am in 8th floor conference room of Bldg 38A Speaker: Dr. Won Kim, Center for Nonlinear Sciences, University of North Texas Statistics out of Chaos The general overview of chaos stemming from nonlinear Hamiltonian is discussed. The connection between chaos and statistics is made through a simple two-state random process. The statistical manifestation of chaos is anomalous in the diffusion and long-tailed in the distribution (Levy process). Also, we discuss the dynamical and statistical properties of the internal water wave field occurred in the deep ocean. Here, chaos is non-monotonic with increasing total energy for the non-resonant interactions and the stochastic webs can be formed in two degrees of the freedom for the resonant interactions. The statistical properties of the internal test-wave flow field in the deep ocean are studied by the joint influence of the initial broadening condition and chaos. The average action (energy) of the test-wave diffuses ballistically at early time, linearly at intermediate time and finally regresses linearly to a state of statistical equilibrium. Finally, we discuss the non-Gaussian processes which are ubiquitous in nonlinear Hamiltonian system.