OREGON STATE UNIVERSITY
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Oregon Beta chapter honors 33 inductees with ceremony
Jennifer Smucker leaves behind the combine to pave a path
Alumnus Peter Banwarth develops models to help guide Benton County's Covid response
Emily Gemmill among winners of prestigious award for undergraduate research
The Society for Industrial and Applied Mathematics honors Professor Peszynska
In 1958, motivated by experimental results at Bell Laboratories that could not be explained under the current models of electron transport, Philip Anderson introduced a lattice model of electron transport through an impure/disordered system that showed how electrons might be “trapped” at a lattice location if there was sufficient disorder in the system---work for which he shared the 1977 Nobel prize in physics.
Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem yielding corollaries that produce Ramanujan-Sato series for 1/pi. We use these corollaries to construct explicit Ramanujan-Sato formulas for 1/pi related to arithmetic triangle groups of non-compact type, as classified by Takeuchi. This work is joint with Angelica Babei, Lea Beneish, Manami Roy, Bella Tobin, and Fang-Ting Tu. It was initiated as part of the Women in Numbers 5 workshop.
Many important materials, including glasses and ceramics, are of the linearly elastic/brittle variety, obeying a classical Hookean law until an applied load reaches a yield stress, at which point they break into some number of fragments. Predicting the behavior of such materials, through modelling and simulation, is of obvious value to a variety of applications. In this work, we add randomness in material properties into the problem, modelling them via random fields.