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.

Sep

29

2021

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.