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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.
Speaker: Dennis Garity
Abstract: This is the second 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 introduced some of the background information needed including properties of manifolds that are increasing unions of tori and
Sufficient conditions are given for the existence of solutions to PDEs defined by monotone operators. An Lp analog of the laplacian is shown to have solutions with this theorem.
We prove inequalities that compare the regulator of an algebraic number field with a product of heights of a basis for the group of units in the number field. Because the minimum value of the regulator is known, we get a form of the Lehmer conjecture on average. The proof makes use of an interesting upper bound for a determinant proved by A. Schinzel.
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