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Apr 05, 2012
Data Structures and Algorithms

We have shown that RoundRobin, which is perhaps the simplest possible algorithm, has a tight approximation ratio of 32 for both OnceSC and Strip Cover. We have also shown that OnceSC is NP-hard, but it remains to be seen whether the same is true for…

Set It and Forget It: Approximating the Set Once Strip Cover Problem

We consider the Set Once Strip Cover problem, in which n wireless sensors are deployed over a one-dimensional region. Each sensor has a fixed battery…
Mar 12, 2010

Circumstellar Structure around Evolved Stars in the Cygnus-X Star F…

We present observations of newly discovered 24 micron circumstellar structures detected with the Multiband Imaging Photometer for Spitzer (MIPS) arou…
Sep 18, 2013

Interpreting Near Infrared Hydrogen Line Ratios in T Tauri Stars

In accreting young stars one of the prominent spectral features in the near infrared is the Paschen and Brackett series in emission. We examine hydro…
Jan 07, 2017
Representation Theory
Combinatorics
Geometric Topology

Let VTn and VWn be the complex S2n representations generated by complex linear combinations of Specht vectors of shape (n,n) and webs of shape (n,n) respectively. In this section we define a map ϕ:VTn→VWn that is equivariant with respect to the acti…

The transition matrix between the Specht and web bases is unipotent w…

We compare two important bases of an irreducible representation of the symmetric group: the web basis and the Specht basis. The web basis has its roo…
Oct 31, 2017
Geometric Topology

Singular branched covers of four-manifolds

Consider a dihedral cover $f: Y\to X$ with $X$ and $Y$ four-manifolds and $f$ branched along an oriented surface embedded in $X$ with isolated cone s…
Jul 24, 2013
Representation Theory
Combinatorics
Geometric Topology

The Robinson-Schensted Correspondence and $A_2$-web Bases

We study natural bases for two constructions of the irreducible representation of the symmetric group corresponding to $[n,n,n]$: the {\em reduced we…
Apr 12, 2019
Machine Learning
Artificial Intelligence

Let's Play Again: Variability of Deep Reinforcement Learning Agents i…

Reproducibility in reinforcement learning is challenging: uncontrolled stochasticity from many sources, such as the learning algorithm, the learned p…
May 22, 2014
Geometric Topology
Symplectic Geometry

The Classification of Knots Transverse to a Nowhere Zero Vector Field

We classify knots in a $3$-manifold $M$ that are transverse to a nowhere zero vector field $V$ up to the corresponding isotopy relation. Such knots a…
May 06, 2013

Contrary to an apparently widespread belief, the pilot-wave theory has no trouble accounting for phenomena involving spin. It does so, actually, in the most straightforward imaginable way: the wave function (a scalar-valued field on the configuratio…

The Pilot-Wave Perspective on Spin

The alternative pilot-wave theory of quantum phenomena -- associated especially with Louis de Broglie, David Bohm, and John Bell -- reproduces the st…
Aug 13, 2017
Metric Geometry
Mathematical Physics

Periodic auxetics: Structure and design

Materials science has adopted the term of auxetic behavior for structural deformations where stretching in some direction entails lateral widening, r…
Oct 14, 2014
History and Philosophy of Physics

Can the wave function in configuration space be replaced by single-…

The ontology of Bohmian mechanics includes both the universal wave function (living in 3N-dimensional configuration space) and particles (living in o…
Jan 21, 2017
Applications

How often does the best team win? A unified approach to understanding…

Statistical applications in sports have long centered on how to best separate signal (e.g. team talent) from random noise. However, most of this work…
Oct 15, 2014
Combinatorics

Propagation time for zero forcing on a graph

Zero forcing (also called graph infection) on a simple, undirected graph $G$ is based on the color-change rule: If each vertex of $G$ is colored eith…
Dec 12, 2017
Quantum Gases

Static and dynamic properties of shell-shaped condensates

Static, dynamic, and topological properties of hollow systems differ from those that are fully filled as a result of the presence of a boundary assoc…
Sep 08, 2012
Combinatorics

Counting edge-Kempe-equivalence classes for 3-edge-colored cubic grap…

Two edge colorings of a graph are {\em edge-Kempe equivalent} if one can be obtained from the other by a series of edge-Kempe switches. This work giv…
Jul 30, 2018
Combinatorics

Graphs admitting only constant splines

We study the {\em generalized graph splines} introduced by Gilbert, Tymoczko, and Viel. We show that if the graph has a particular type of cutset (th…
Mar 18, 2010
Computational Geometry
Differential Geometry
Metric Geometry

Flattening single-vertex origami: the non-expansive case

A single-vertex origami is a piece of paper with straight-line rays called creases emanating from a fold vertex placed in its interior or on its boun…
Dec 27, 2013
Applications

openWAR: An Open Source System for Evaluating Overall Player Performa…

Within baseball analytics, there is substantial interest in comprehensive statistics intended to capture overall player performance. One such measure…
Jan 15, 2015
Metric Geometry
Computational Geometry

Geometric auxetics

We formulate a mathematical theory of auxetic behavior based on one-parameter deformations of periodic frameworks. Our approach is purely geometric, …
Apr 20, 2019
Human-Computer Interaction

Estimating Emotional Intensity from Body Poses for Human-Robot Inte…

Equipping social and service robots with the ability to perceive human emotional intensities during an interaction is in increasing demand. Most of e…
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