In this section we shall prove Theorem 1.8, which describes a relation between extremizers for T:Lp0→Lq0 and extremizers for X∗, adjoint of X as defined in 1.5. Simultaneously we prove a relation between extremizers for T:Lp1→Lq1 bound and extremize…

The operator $T$, defined by convolution with the affine arc length measure on the moment curve parametrized by $h(t)=(t,t^{2},...,t^{d})$ is a bound…

Eq. (22) in Section IV.2 demonstrates that LD,11 certificates can distinguish non-isomorphic SRGs of the same family. To show that Eq. (22) is of the correct form and cannot be a function of family parameters, we provide here the value of ∑Nj=1|⟨ij|…

Berry and Wang [Phys. Rev. A {\bf 83}, 042317 (2011)] show numerically that a discrete-time quantum random walk of two noninteracting particles is ab…

Research supported by the National Science Foundation.

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

To solve canonical problems in the setting of Lemma 2, when an a priori bound on C is known or when f is bounded on R+, it suffices to construct a sequence of probability measures ~Pn that weakly converges to P for almost every sample sequence. Sinc…

We propose a general methodology for performing statistical inference within a `rare-events regime' that was recently suggested by Wagner, Viswanath …

High-fidelity gate operations are essential to the realization of a fault-tolerant quantum computer. In addition, the physical resources required to …

We present a versatile family of model galactic outflows including non-uniform mass and energy source distributions, a gravitational potential from a…

This research considers the ranking and selection (R&S) problem of selecting the optimal subset from a finite set of alternative designs. Given the t…

This paper describes a coded aperture and keyed exposure approach to compressive video measurement which admits a small physical platform, high photo…

As a fundamental astrophysical process, the scattering of particles by turbulent magnetic fields has its physical foundation laid by the magnetohydro…

The local properties of turbulence driven by the magnetorotational instability (MRI) in rotating, shearing flows are studied in the framework of a sh…

Particle physics models with Natural Supersymmetry are characterized by a superpotential parameter \mu \sim m_h \sim125$ GeV, while third generation …

We revisit the calculation of charm particle production in hadron collisions, focusing on the production of charm particles that carry a large fracti…

Overparameterized models that interpolate training data often display surprisingly good generalization properties. Specifically, minimum norm solutio…

Two challenging problems in the clinical study of cancer are the characterization of cancer subtypes and the classification of individual patients ac…

We consider the problem of active coarse ranking, where the goal is to sort items according to their means into clusters of pre-specified sizes, by a…

We study the problem of finding the maximum of a function defined on the nodes of a connected graph. The goal is to identify a node where the functio…

Performing qubit gate operations as quickly as possible can be important to minimize the effects of decoherence. For resonant gates, this requires ap…

Many real-world phenomena can be represented by a spatio-temporal signal: where, when, and how much. Social media is a tantalizing data source for th…

An important dynamical property of biological interaction networks is persistence, which intuitively means that "no species goes extinct". It has bee…

Pairs trading is a market-neutral strategy that exploits historical correlation between stocks to achieve statistical arbitrage. Existing pairs-tradi…

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