Sep

24

2021

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.

Sep

27

2021

Sep

27

2021

Sep

28

2021

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.

Oct

01

2021

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.