The objective in this section is to relate the generator invariant to Voiculescu’s modified free entropy dimension by proving the inequalities

In 2005, Shen introduced a new invariant, $\mathcal G(N)$, of a diffuse von Neumann algebra $N$ with a fixed faithful trace, and he used this invaria…

A novel method for learning optimal, orthonormal wavelet bases for representing 1- and 2D signals, based on parallels between the wavelet transform a…

The authors would like to thank Arend Bayer and Tom Bridgeland for very useful discussions and comments. We are also grateful to Jason Lo and Yukinobu Toda for pointing out several errors. Special thanks go to the referee for a thorough reading of t…

We show that the construction of Bayer, Bertram, Macri and Toda gives rise to a Bridgeland stability condition on a principally polarized abelian thr…

When parsing morphologically-rich languages with neural models, it is beneficial to model input at the character level, and it has been claimed that …

We will now conclude by revisiting the 3-algebraic criteria set out in Section 2 in light of our structural results of Section 3 and our classification of metric Lie 3-algebras with signature (2,p) in Section 4. We will select those (2,p) signature …

We recast physical properties of the Bagger-Lambert theory, such as shift-symmetry and decoupling of ghosts, the absence of scale and parity invarian…

We have presented a new certification technique for IQP machines which can be run by a client able to prepare single-qubit Pauli eigenstates. By giving the client minimal quantum abilities we can remove computational restrictions placed on the Serve…

The efficient certification of classically intractable quantum devices has been a central research question for some time. However, to observe a "qua…

B mesons provide an ideal laboratory for measurements of CP violation and searches for CP violation beyond the Standard Model. Recent measurements of…

HKK is supported by an NSERC Discovery Grant. JL is supported by an ESPRC Career Acceleration Fellowship. We would especially like to thank Harvey Reall for several fruitful collaborations on this topic and numerous discussions over the years. We wo…

Any spacetime containing a degenerate Killing horizon, such as an extremal black hole, possesses a well-defined notion of a near-horizon geometry. We…

We present a calculation of the leading order hadronic contribution to the anomalous magnetic moment of the muon for a dynamical simulation of 2+1 fl…

Multiscale entropy (MSE) is a widely-used tool to analyze biomedical signals. It was proposed to overcome the deficiencies of conventional entropy me…

The detailed analyses of this paper focused on Kähler inflation in the Large Volume Scenario in a simplified setting involving two fields. However, our methods and the overall lessons apply more generally:

We show that cosmological observables can constrain the topology of the compact additional dimensions predicted by string theory. To do this, we deve…

We describe the geometry of the R x SO(3) x SO(6) x U(1) invariant half-BPS M-theory configurations considered in LLM in terms of their electrostatic…

A significant burden on wireless networks is brought by the uploading of user-generated contents to the Internet by means of applications such as the…

We analyse the electroencephalogram signals in the beta band of working memory representation recorded from young healthy volunteers performing sever…

In image classification tasks, the ability of deep CNNs to deal with complex image data has proven to be unrivalled. However, they require large amou…

This work introduces a simple general approach to learning mixtures of “structured” distributions over discrete domains. We illustrate the usefulness of our approach by showing it yields nearly optimal algorithms for learning mixtures of natural and…

Let $\mathfrak{C}$ be a class of probability distributions over the discrete domain $[n] = \{1,...,n\}.$ We show that if $\mathfrak{C}$ satisfies a r…

We study the center symmetry of SU(N) gauge theories with fermions in the two-index representations, by computing the effective potential of the Poly…

We consider the problem of characterizing the `duality gap' between sparse synthesis- and cosparse analysis-driven signal models through the lens of …

We investigate the influence of steady periodic flows on the propagation of chemical fronts in an infinite channel domain. We focus on the sharp fron…

Non-orthogonal multiple access (NOMA) systems have the potential to deliver higher system throughput, compared to contemporary orthogonal multiple ac…

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