Throughout this paper we work in the ∞-categories of spaces and spectra. We take [Lurie:bh] and [Lurie:ha] as standard references for ∞-categories.

Let $F$ be a local field with residue field $k$. The classifying space of $GL_n(F)$ comes canonically equipped with a map to the delooping of the $K$…

The Zeeman splitting of a localized single spin can be used to construct a magnetometer allowing high precision measurements of magnetic fields with almost atomic spatial resolution. While sub-{\mu}T sensitivity can in principle be obtained using pu…

The Zeeman splitting of a localized single spin can be used to construct a magnetometer allowing high precision measurements of magnetic fields with …

Remote sensing satellite data offer the unique possibility to map land use land cover transformations by providing spatially explicit information. Ho…

We propose a discrete transition-based reweighting analysis method (dTRAM) for analyzing configuration-space-discretized simulation trajectories prod…

Recent investigations have shown that the sum secure degrees of freedom of the Gaussian wiretap channel with a helper is $\tfrac{1}{2}$. The achievab…

Many features of a molecule which are of physical interest (e.g. molecular conformations, reaction rates) are described in terms of its dynamics in c…

The `excised ensemble', a random matrix model for the zeros of quadratic twist families of elliptic curve $L$-functions, was introduced by Due\~nez, …

The vulnerability of the Internet has been demonstrated by prominent IP prefix hijacking events. Major outages such as the China Telecom incident in …

The transition mechanism of jump processes between two different subsets in state space reveals important dynamical information of the processes and …

Restricted Boltzmann Machines (RBMs) are generative models which can learn useful representations from samples of a dataset in an unsupervised fashio…

Machine learning systems are ubiquitous in various kinds of digital applications and have a huge impact on our everyday life. But a lack of explainab…

One of the main drivers for new waveforms in future 5G wireless communication systems is to handle efficiently the variety of traffic types and requi…

A goal in the kinetic characterization of a macromolecular system is the description of its slow relaxation processes, involving (i) identification o…

It is well-known that wireless channel reciprocity together with fading can be exploited to generate a common secret key between two legitimate commu…

End-to-end deep learning for communication systems, i.e., systems whose encoder and decoder are learned, has attracted significant interest recently,…

We prove the Topological Mirror Symmetry Conjecture by Hausel-Thaddeus for smooth moduli spaces of Higgs bundles of type $\operatorname{SL}_n$ and $\…

Most numerical solvers and libraries nowadays are implemented to use mathematical models created with language-specific built-in data types (e.g. rea…

We study the collective excitation frequencies of a harmonically trapped 85Rb Bose-Einstein condensate (BEC) in the vicinity of a Feshbach resonance.…

The degree of a point configuration is defined as the maximal codimension of its interior faces. This concept is motivated from a corresponding Ehrha…

We propose and study a variation of Bagchi and Datta's $\sigma$-vector of a simplicial complex C, whose entries are defined as weighted sums of Betti…

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