Publications  Mathematics, Statistics, and Computer Science
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Classifying Matchbox Manifolds
(Mathematical Sciences Publishers, 201311)Matchbox manifolds are foliated spaces with totally disconnected transversals. Two matchbox manifolds which are homeomorphic have return equivalent dynamics, so that invariants of return equivalence can be applied to ... 
Aperiodicity at the Boundary of Chaos
(American Mathematical Society, 201704)We consider the dynamical properties of C∞variations of the flow on an aperiodic Kuperberg plug K. Our main result is that there exists a smooth 1parameter family of plugs K for ∈ (−a, a) and a < 1, such that: (1) The ... 
Manifoldlike Matchbox Manifolds
(American Mathematical Society, 201704)A matchbox manifold is a generalized lamination, which is a continuum whose arccomponents define the leaves of a foliation of the space. The main result of this paper implies that a matchbox manifold which is manifoldlike ... 
Wild Solenoids
(American Mathematical Society, 201702)A weak solenoid is a foliated space defined as the inverse limit of finite coverings of a closed compact manifold M. The monodromy of a weak solenoid defines an equicontinuous minimal action on a Cantor space X by the ... 
Strategic Behavior and Learning In AllPay Auctions: An Empirical Study Using Crowdsourced Data
(Springer Verlag, 201902)We analyze human behavior in crowdsourcing contests using an allpay auction model where all participants exert effort, but only the highest bidder receives the reward. We let workers sourced from Amazon Mechanical Turk ... 
RIGIDITY OF CONVEX DIVISIBLE DOMAINS IN FLAG MANIFOLDS
(Mathematical Sciences Publishers, 20190305)In contrast to the many examples of convex divisible domains in real projective space, we prove that up to projective isomorphism there is only one convex divisible domain in the Grassmannian of pplanes in R2p when p > ... 
REGULARIZING NONLINEAR SCHRO ̈DINGER EQUATIONS THROUGH PARTIAL OFFAXIS VARIATIONS
(Society for Industrial and Applied Mathematics, 20190429)We study a class of focusing nonlinear Schr ̈odingertype equations derived recently by Dumas, Lannes and Szeftel within the mathematical de scription of high intensity laser beams [7]. These equations incorporate the ... 
Periodic Corrugations to Increase Efficiency of Thermophotovoltaic Emitting Structures
(AIP Publishing, 20190206)In this letter we consider the question of designing insulator/metal thermovoltaic structures with periodically corrugated interfaces that give optimal performance based on the metric of useful power density. Using a Monte ... 
HENKIN CONSTRUCTIONS of MODELS with SIZE CONTINUUM
(Association for Symbolic Logic, 20190401)We survey the technique of constructing customized models of size continuum in omega steps and illustrate the method by giving new proofs of mostly old results within this rubric. One new theorem, which is joint with Saharon ... 
ASYMPTOTICS OF HITCHIN’S METRIC ON THE HITCHIN SECTION
(Springer, 201901)We consider Hitchin’s hyperk ̈ahler metric g on the moduli space M of degree zero SL(2)Higgs bundles over a compact Riemann surface. It has been conjectured that, when one goes to infinity along a generic ray in M, g ... 
Enlargeability, foliations, and positive scalar curvature
(Springer Verlag, 201703)We extend the deep and important results of Lichnerowicz, Connes, and GromovLawson which relate geometry and characteristic numbers to the existence and nonexistence of metrics of positive scalar curvature (PSC). In ... 
Axiomatizing changing conceptions of the geometric continuum I: EuclidHilbert
(Oxford University Press, 20171120)We begin with a general account of the goals of axiomatization, introducing a variant (modest) on Detlefsen’s notion of ‘complete descriptive axiomatization’. We examine the distinctions between the Greek and modern view ... 
Coordination Event Detection and Initiator Identification in Time Series Data
(Association for Computing Machinery, 201807)Behavior initiation is a form of leadership and is an important aspect of social organization that affects the processes of group formation, dynamics, and decisionmaking in human societies and other social animal species. ... 
Encoding DNA sequences by integer chaos game representation
(Mary Ann Liebert, 20171219)Motivation: DNA sequences are fundamental for encoding genetic information. The genetic information may be understood not only by symbolic sequences but also from the hidden signals inside the sequences. The symbolic ... 
Periodic Corrugations to Increase Efficiency of Thermophotovoltaic Emitting Structures
(AIP Publishing, 20190206)In this letter, we consider the question of designing insulator/metal thermovoltaic structures with periodically corrugated interfaces that give optimal performance based on the metric of useful power density. Using a Monte ... 
MOST BOSON QUANTUM STATES ARE ALMOST MAXIMALLY ENTANGLED
(American Mathematical Society, 20180904)The geometric measure E of entanglement of an m qubit quantum state takes maximal possible value m. In previous work of Gross, Flammia, and Eisert, it was shown that E ≥ m − O(log m) with high probability as m → ∞. They ... 
ON THE COMPARISON OF STABLE AND UNSTABLE pCOMPLETION
(American Mathematical Society, 201902)In this note we show that a pcomplete nilpotent space X has a pcomplete suspension spectrum if and only if its homotopy groups pi X* are bounded ptorsion. In contrast, if pi X* is not all bounded ptorsion, we locate ... 
WOJ: Enabling WriteOnce Fulldata Journaling in SSDs by Using WeakHashingbased Deduplication
(Elsevier, 201811)Journaling is a commonly used technique in file systems to provide data reliability for applications. Fulldata journaling, which stores all file system (data and metadata) updates in a journal before they are applied to ... 
A review on probabilistic models used in microbiome studies
(International Press, 20180201) 
Well–Posedness and Analyticity of Solutions to a Water Wave Problem with Viscosity
(Elsevier, 20180430)The water wave problem models the free–surface evolution of an ideal fluid under the influence of gravity and surface tension. The governing equations are a central model in the study of open ocean wave propagation, but ...