In the appendix we shall prove the sc-smoothness of the shift-map. Moreover, we collect informations about the gluing profile and provide proofs of several technical results about families of sc-isomorphisms and estimates for the Cauchy-Riemann sect…

We survey a (nonlinear) Fredholm theory for a new class of ambient spaces called polyfolds, and develop the analytical foundations for some of the ap…

Let H⊂Rd. We prove Theorem 1.1 in four steps:

Let $H$ be an arbitrary family of hyper-planes in $d$-dimensions. We show that the point-location problem for $H$ can be solved by a linear decision …

Dark matter annihilation or de-excitation, decay of metastable species, or other new physics may inject energetic electrons and photons into the phot…

Topic Modeling is an approach used for automatic comprehension and classification of data in a variety of settings, and perhaps the canonical applica…

REBOUND is a new multi-purpose N-body code which is freely available under an open-source license. It was designed for collisional dynamics such as p…

Hot Jupiters (HJs) are short-period giant planets that are observed around ~ 1% of solar-type field stars. One possible formation scenario for HJs is…

Topic models provide a useful method for dimensionality reduction and exploratory data analysis in large text corpora. Most approaches to topic model…

Studies of strong gravitational lensing in current and upcoming wide and deep photometric surveys, and of stellar kinematics from (integral-field) sp…

We use sampling techniques to find robust constraints on the masses of a possible fourth sequential fermion generation from electroweak oblique varia…

As atoms formed for the first time during primordial recombination, they emitted bound-bound and free-bound radiation leading to spectral distortions…

We consider the cross-correlation between free electrons and neutral hydrogen during the epoch of reionization. The free electrons are traced by the …

We carry out a comprehensive analysis of the behavior of the magnetorotational instability (MRI) in viscous, resistive plasmas. We find exact, non-li…

The ubiquity of M dwarfs, combined with the relative ease of detecting terrestrial-mass planets around them, has made them prime targets for finding …

The spatial, kinematic, and elemental-abundance structure of the Milky Way's stellar disk is complex, and has been difficult to dissect with local sp…

The photon spectral energy distribution of the powerful transient Sw J1644+57 resembles those of the brightest Ultra-Luminous X-ray sources (ULXs). T…

Improving upon our purely dynamical work, we present three-dimensional simulations of the atmospheric circulation on Earth-like (exo)planets and hot …

Massive giant planets, such as the ones being discovered by direct imaging surveys, likely experience the majority of their growth through a circumpl…

We present a simple supersymmetric model of split families consistent with flavor limits that preserves the successful prediction of gauge coupling u…

In this section, we focus on the fully quantum setting: the entanglement-assisted Shannon capacity of nc-graphs. We discuss the (unassisted) Shannon capacity of nc-graphs in appendix B.

We study several quantum versions of the Shannon capacity of graphs and non-commutative graphs. We introduce the asymptotic spectrum of graphs with r…

We give near-tight lower bounds for the sparsity required in several dimensionality reducing linear maps. First, consider the JL lemma which states that for any set of n vectors in R there is a matrix A in R^{m x d} with m = O(eps^{-2}log n) such th…

We give near-tight lower bounds for the sparsity required in several dimensionality reducing linear maps. First, consider the JL lemma which states t…

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