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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 ultimate mobility of a landslide can be strongly contingent on feedback mechanisms in the early stages of motion which influence the frictional resistance of a granular-fluid mixture. An initial failure can lead to runaway acceleration and extensive runout, or, conversely, a stabilizing slump. This distinction is strongly dependent on initial sediment material properties, such as porosity, permeability and fluid content. Traditional slope-stability models attempt to quantify initial force balances of sediment masses, but they do not address the fate of a failing mass.
Using Palindromic Representations to Enumerate the Squares in the Fibonacci Symbolic Process
A square in a string of symbols is a factor (i.e. a subword of adjacent symbols) of the form AA where is AA consists of a word A immediately followed by itself. This is a classical problem in symbolic dynamics, made easier, sometimes, when the the process may be defined by palindromes.
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