474 citations
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10 papers · 1 filter
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks
Gino Biondini, Christopher Chong, Panayotis Kevrekidis
The aim of this work is multifold. Firstly, it intends to present a complete, quantitative and self-contained description of the periodic traveling wave solutions and Whitham modul…
-Brouwer degrees in Macaulay2
Nikita Borisov, Thomas Brazelton, Frenly Espino +6
We describe the Macaulay2 package "A1BrouwerDegrees" for computing local and global -Brouwer degrees and studying symmetric bilinear forms over the complex numbers, t…
Learning Not to Spoof
David Byrd
As intelligent trading agents based on reinforcement learning (RL) gain prevalence, it becomes more important to ensure that RL agents obey laws, regulations, and human behavioral…
Critical phenomena in the collapse of gravitational waves
Thomas W. Baumgarte, Bernd Brügmann, Daniela Cors +6
Fine-tuning generic but smooth spherically-symmetric initial data for general relativity to the threshold of dynamical black hole formation creates arbitrarily large curvatures, me…
Free expansion of a Gaussian wavepacket using operator manipulations
Alessandro M. Orjuela, J. K. Freericks
The free expansion of a Gaussian wavepacket is a problem commonly discussed in undergraduate quantum classes by directly solving the time-dependent Schrodinger equation as a differ…
Cofibrantly generated model structures for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a genera…