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We explore similarities between the roles of the vorticity in 3D Euler Equations and the perpendicular gradient of the solution to 2D Quasi-Geostrophic Equations. In particular we compare level sets of 2D QGE with vortex lines of 3D Euler, and also compare the integral representations of the velocity and symmetric strain matrix for both equations.
Speaker: Dennis Garity
Abstract: This is the first of two talks on certain 3-manifolds that are increasing unions of solid tori. Recently, in a joint paper with Repovs and Wright, we produced infinite classes of such manifolds that were unions of 2 copies of 3-space, and infinite classes that were not such unions. In the first talk, I will introduce some of the background information needed including properties of manifolds that are increasing unions of tori and
some simple characterizations of 3-dimensional Euclidean space.
Vershik's adic transformations are defined on the path space of a Bratteli diagram, a nonstationary analogue of the graph of a subshift of finite type. They can be used to model many dynamical systems usually constructed in other ways, such as substitution dynamical systems, cutting and stacking constructions and interval exchange transformations. We classify the invariant measures which are finite for some subdiagram defined by erasing vertices and edges; these measures may be infinite on every open subset of the path space.
This work addresses the problem of adaptive modulation and power in wireless systems with a strict delay constraint. Modulation and transmit power are dynamically adapted to minimize the outage probability for a fixed data rate. A discrete-time stationary Markov chain is used to model the time-varying channel. The problem is formulated as a finite-horizon MDP. The solution is a set of power/modulation allocation policies to be used during the transmission, as a function of the channel and system state. Numerical results show the benefits of such adaptation policies.
The Undergraduate Committee is pleased to announce that the revisions to our undergraduate Mathematics major program have received final OSU approval. For the online listing of the revised degree requirements see
The new major program is now in place for undergraduates entering our program during the 2015-2016 academic year. Students currently in our undergraduate program can choose between the old and new program in satisfying degree requirements.
The Undergraduate Committee thanks all faculty for their contributions in developing the revised program. ...
Be sure to attend the Winter Teaching & Advising Awards Tuesday, February 3!
Loyd E. Carter Award for Outstanding and Inspirational Teaching in Science – Undergraduate
Finalists: Linda Bruslind, Microbiology; Chris Coffin, Physics; Eli Meyer, Integrative Biology; Viviana Perez, Biochemistry and Biophysics; Devon Quick, Integrative Biology; David Wing, Mathematics
Loyd E. Carter Award for Outstanding and Inspirational Teaching in Science – Graduate
Finalists: Tory Hagen, Biochemistry and Biophysics; May Nyman, Chemistry; Weihong Qiu, Physics; Clayton Petsche, Mathematics; Tom Sharpton, Microbiology