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7 papers · 1 filter
Metric properties of the lamplighter group as an automata group
Sean Cleary, Jennifer Taback
We examine the geometry of the Cayley graph of the lamplighter group with respect to the generating set rising from its interpretation as an automata group due to Grigorchuk and Zu…
Dynamical Determination of the Innermost Stable Circular Orbit of Binary Neutron Stars
Pedro Marronetti, Matthew D. Duez, Stuart L. Shapiro +1
We determine the innermost stable circular orbit (ISCO) of binary neutron stars (BNSs) by performing dynamical simulations in full general relativity. Evolving quasiequilibrium (QE…
Seesaw words in Thompson's group F
Sean Cleary, Jennifer Taback
We describe a family of words in Thompson's group F which present a challenge to the question of finding canonical minimal length representatives, and which show that F is not comb…
Dead end words in lamplighter groups and other wreath products
Sean Cleary, Jennifer Taback
We explore the geometry of the Cayley graphs of the lamplighter groups and a wide range of wreath products. We show that these groups have dead end elements of arbitrary depth with…
Can a combination of the conformal thin-sandwich and puncture methods yield binary black hole solutions in quasi-equilibrium?
Mark D. Hannam, Charles R. Evans, Gregory B. Cook +1
We consider combining two important methods for constructing quasi-equilibrium initial data for binary black holes: the conformal thin-sandwich formalism and the puncture method. T…
Matrix-model description of N=2 gauge theories with non-hyperelliptic Seiberg-Witten curves
S. G. Naculich, H. J. Schnitzer, N. Wyllard
Using matrix-model methods we study three different N=2 models: U(N) x U(N) with matter in the bifundamental representation, U(N) with matter in the symmetric representation, and U…