In [arXiv:1602.03709v2], it was proved that Cuntz splicing a graph gives rise to a graph whose C∗-algebra is stably isomorphic to the C∗-algebra of the original graph (generalizing a result in [MR2270572]). This is used for instance in the proofs of…

In 2006, Restorff completed the classification of all Cuntz-Krieger algebras with finitely many ideals (i.e., those that are purely infinite) up to s…

In [MR1907894], Boyle proved several factorization theorems for square matrices. These theorems are the key components to go from \operatorname{SL}_{\mathcal{P}}-equivalence to flow equivalence. In this section, we prove similar factorization theore…

We provide a complete classification of the class of unital graph $C^*$-algebras - prominently containing the full family of Cuntz-Krieger algebras -…

In the previous section, we proved that the core Kakimizu complex MS(C) is quasi-isometric to a finitely generated abelian group. To prove our main result, it remains to show that for any knot K, MS(K) is quasi-isometric to MS(C).

We show that the Kakimizu complex of minimal genus Seifert surfaces for a knot in the 3-sphere is quasi-isometric to a Euclidean integer lattice $\ma…

In recent years, the increasing precision of direct cosmic rays measurements opened the door to indirect searches of dark matter with high-sensitivit…

We have made the observation that the optimization of large portfolios minimizes the empirical risk in a regime where the data set size is similar to the size of the portfolio. In that regime, a small empirical risk does not necessarily guarantee a …

The optimization of large portfolios displays an inherent instability to estimation error. This poses a fundamental problem, because solutions that a…

We present a comparison of parallaxes and radii from asteroseismology and Gaia DR1 (TGAS) for 2200 Kepler stars spanning from the main sequence to th…

We announce the discovery of a highly inflated transiting hot Jupiter discovered by the KELT-North survey. A global analysis including constraints fr…

Infrared avalanche photodiode arrays represent a panacea for many branches of astronomy by enabling extremely low-noise, high-speed and even photon-c…

The 18O/17O ratio of the Solar System is 5.2 while that of the interstellar medium (ISM) and young stellar objects is ~4. This difference cannot be e…

Recently discovered exoplanets on close-in orbits should have surface temperatures of 100's to 1000's of K. They are likely tidally locked and synchr…

The Free-Electron Laser Laboratory at the University of Hawai`i has constructed and tested a scanning wire beam position monitor to aid the alignment…

Space-based photometric surveys have discovered large numbers of planets transiting other stars, but these observe in a single band-pass and yield on…

Visibility graph reconstruction, which asks us to construct a polygon that has a given visibility graph, is a fundamental problem with unknown comple…

We introduce an approach to inferring the causal architecture of stochastic dynamical systems that extends rate distortion theory to use causal shiel…

Twitter is an extremely popular social networking platform. Most Twitter users do not disclose their locations due to privacy concerns. Although infe…

In the hierarchy of structural sophistication for lattice polytopes, normal polytopes mark a point of origin; very ample and Koszul polytopes occupy …

We perform a complementarity study of gravitational waves and colliders in the context of electroweak phase transitions choosing as our template the …

Online social networks (OSNs) are increasingly threatened by social bots which are software-controlled OSN accounts that mimic human users with malic…

This article presents a distributed vector representation model for learning folksong motifs. A skip-gram version of word2vec with negative sampling …

We present the concept of concurrent flow-based localization and mapping (FLAM) for autonomous field robots navigating within background flows. Diffe…

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