7 citations · 11 across the 3 of their papers we have counts for
3 papers
cs.CE2018★ 7 cited
Reduced-Order Modeling through Machine Learning Approaches for Brittle Fracture Applications
A. Hunter, B. A. Moore, M. K. Mudunuru +9
In this paper, five different approaches for reduced-order modeling of brittle fracture in geomaterials, specifically concrete, are presented and compared. Four of the five methods…
math.DS2015★ 4 cited
Nontrivial paths and periodic orbits of the -fractal billiard table
Michel L. Lapidus, Robyn L. Miller, Robert G. Niemeyer
We introduce and prove numerous new results about the orbits of the -fractal billiard. Specifically, in Section 3, we give a variety of sufficient conditions for the existence o…
math.DS2007
Equidistribution of Horocyclic Flows on Complete Hyperbolic Surfaces of Finite Area
John H. Hubbard, Robyn L. Miller
We provide a self-contained, accessible introduction to Ratner's Equidistribution Theorem in the special case of horocyclic flow on a complete hyperbolic surface of finite area. Th…