Tootfinder

This https://arxiv.org/abs/2403.00588 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The Honest Embedding Dimension of a Numerical Semigroup
Attached to a singular analytic curve germ in $d$-space is a numerical semigroup: a subset $S$ of the non-negative integers which is closed under addition and whose complement isfinite. Conversely, associated to any numerical semigroup $S$ is a canonical mononial curve in $e$-space where $e$ is the number of minimal generators of the semigroup. It may happen that $d < e = e(S)$ where $S$ is the semigroup of the curve in $d$-space. Define the minimal (or `honest') embedding of a numerical semigr…

On the Injectivity Radius of the Stiefel Manifold: Numerical investigations and an explicit construction of a cut point at short distance
Jakob Stoye, Ralf Zimmermann
https://arxiv.org/abs/2403.03782

On the Injectivity Radius of the Stiefel Manifold: Numerical investigations and an explicit construction of a cut point at short distance
Arguably, geodesics are the most important geometric objects on a differentiable manifold. They describe candidates for shortest paths and are guaranteed to be unique shortest paths when the starting velocity stays within the so-called injectivity radius of the manifold. In this work, we investigate the injectivity radius of the Stiefel manifold under the canonical metric. The Stiefel manifold $St(n,p)$ is the set of rectangular matrices of dimension $n$-by-$p$ with orthogonal columns, sometime…

Assemblymember Matt Haney of San Francisco introduced a bill which would allow employees to ignore after-hours calls from their employers. If passed, California would be the first state to create a “right to disconnect” for employees, applicable to both private and public employers. https://w…

California law would give employees the 'right to disconnect' during nonworking hours
If passed, the California 'right to disconnect' bill would allow employees to disconnect from communications during nonworking hours.

Cyber sécurité : "l'hygiène numérique" est le premier rempart - Polynésie la 1ère
https://la1ere.francetvinfo.fr/polynesie/cyber-securite-l-hygiene-numerique-est-le-premier-rempart-1468164.html…

Cyber sécurité : "l'hygiène numérique" est le premier rempart - Polynésie la 1ère
Les invités café du lundi 26 février 2024 sont Eugène Sandford, directeur de la DGEN et Stéphane Gavinet, chargé de mission défense économique au Haut-Commissariat.

On the Injectivity Radius of the Stiefel Manifold: Numerical investigations and an explicit construction of a cut point at short distance
Jakob Stoye, Ralf Zimmermann
https://arxiv.org/abs/2403.03782

On the Injectivity Radius of the Stiefel Manifold: Numerical investigations and an explicit construction of a cut point at short distance
Arguably, geodesics are the most important geometric objects on a differentiable manifold. They describe candidates for shortest paths and are guaranteed to be unique shortest paths when the starting velocity stays within the so-called injectivity radius of the manifold. In this work, we investigate the injectivity radius of the Stiefel manifold under the canonical metric. The Stiefel manifold $St(n,p)$ is the set of rectangular matrices of dimension $n$-by-$p$ with orthogonal columns, sometime…

Can FSK Be Optimised for Integrated Sensing and Communications?
Tian Han, Peter J Smith, Urbashi Mitra, Jamie S Evans, Rajitha Senanayake
https://arxiv.org/abs/2405.00945

Can FSK Be Optimised for Integrated Sensing and Communications?
Motivated by the ideal peak-to-average-power ratio and radar sensing capability of traditional frequency-coded radar waveforms, this paper considers the frequency shift keying (FSK) based waveform for joint communications and radar (JCR). An analysis of the probability distributions of its ambiguity function (AF) sidelobe levels (SLs) and peak sidelobe level (PSL) is conducted to study the radar sensing capability of random FSK. Numerical results show that the independent frequency modulation i…

The Honest Embedding Dimension of a Numerical Semigroup
Richard Montgomery
https://arxiv.org/abs/2403.00588 https://arxiv.org/pdf/240…

The Honest Embedding Dimension of a Numerical Semigroup
Attached to a singular analytic curve germ in $d$-space is a numerical semigroup: a subset $S$ of the non-negative integers which is closed under addition and whose complement isfinite. Conversely, associated to any numerical semigroup $S$ is a canonical mononial curve in $e$-space where $e$ is the number of minimal generators of the semigroup. It may happen that $d < e = e(S)$ where $S$ is the semigroup of the curve in $d$-space. Define the minimal (or `honest') embedding of a numerical semigr…

Assemblymember Matt Haney of San Francisco introduced a bill which would allow employees to ignore after-hours calls from their employers. If passed, California would be the first state to create a “right to disconnect” for employees, applicable to both private and public employers. https://w…

California law would give employees the 'right to disconnect' during nonworking hours
If passed, the California 'right to disconnect' bill would allow employees to disconnect from communications during nonworking hours.

Integrated Sensing and Communications for Unsourced Random Access: Fundamental Limits
Mohammad Javad Ahmadi, Rafael F. Schaefer, H. Vincent Poor
https://arxiv.org/abs/2404.19431 <…

Integrated Sensing and Communications for Unsourced Random Access: Fundamental Limits
This work considers the problem of integrated sensing and communication (ISAC) with a massive number of unsourced and uncoordinated users. In the proposed model, known as the unsourced ISAC system (UNISAC), all active communication and sensing users share a short frame to transmit their signals, without requiring scheduling with the base station (BS). Hence, the signal received from each user is affected by significant interference from numerous interfering users, making it challenging to extra…

This https://arxiv.org/abs/2310.17603 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An efficient frequency-independent numerical method for computing the far-field pattern induced by polygonal obstacles
For problems of time-harmonic scattering by rational polygonal obstacles, embedding formulae express the far-field pattern induced by any incident plane wave in terms of the far-field patterns for a relatively small (frequency-independent) set of canonical incident angles. Although these remarkable formulae are exact in theory, here we demonstrate that: (i) they are highly sensitive to numerical errors in practice, and (ii) direct calculation of the coefficients in these formulae may be impossi…