Mathematics, Statistics, and Computer Science, Department of
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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 ... 
Modeling Temporal and Structural Information in Time Series Data
(20180830)Time series data is a sequence of data with temporal information at each position in the sequence. Such data widely exists in various disciplines. In computer science, different areas such as computational biology, signal ... 
Realizing Provider Policies on Cellular Networks
(20181120)Background applications (e.g., cloudsync, software and firmware updates), which previously relied on wired or WiFi networks, are starting to rely on cellular networks to transfer vast amounts of data. While wired and ... 
A Study on the Use of MobileSpecifc HTML5 WebAPI Calls on the Web
(20181119)The growth of smartphones diffusion in the last decade and the pervasiveness of the web in the current lifestyle pose the attention on the privacy and security of the users. While it is well known how browserrelated data ... 
Adversarial Structural Learning: Approximating Training Data for MultiVariate Predictions
(20181119)In this thesis, we address two important characteristics of prediction tasks in many real world problems by developing an adversarial classification framework. Structured data is the feature of many real world applications ... 
A Distributed Graph Approach For Retrieving Linked RDF Data Using Supercomputing Systems
(20181109)Many RDF data systems are able to perform queries on different types of connected data structures for a scalable range of input. Partitioning techniques, graph algorithms, and mem ory based indexing schemes have been ... 
Automatic Exploit Generation for Web Applications
(20181102)Web applications are valuable targets for security attacks because of their popularity and the sensitive data that they handle (e.g., credit card data, medical records, and personal information). Vulnerabilities that ... 
Symbolic and Neural Approaches for Learning Other Agents’ Intentional Models using Interactive POMDPs
(20181127)Interactive partially observable Markov decision processes (IPOMDPs) provide a principled framework for planning and acting in a partially observable, stochastic and multiagent environment. IPOMDPs augment POMDP beliefs ... 
Inference of Leadership of Coordinated Activity in Time Series
(20181017)When a group of people decides to move somewhere together, who is the initiator who starts moving and everyone follows? Do the group members follow friends around them or do they prefer to follow specific individuals? These ...