Tootfinder

Oder sollte man sie #besetzen?
1 Mio. qm Büros stehen in Berlin leer.
"Dass in den nächsten drei Jahren weitere 1,5 Millionen Quadratmeter neue Büros fertiggestellt werden sollen, findet [Katalin Gennburg] „komplett verrückt und muss gestoppt werden.“"

This https://arxiv.org/abs/2311.10065 has been replaced.
link: https://scholar.google.com/scholar?q=a

Visual Environment Assessment for Safe Autonomous Quadrotor Landing
Autonomous identification and evaluation of safe landing zones are of paramount importance for ensuring the safety and effectiveness of aerial robots in the event of system failures, low battery, or the successful completion of specific tasks. In this paper, we present a novel approach for detection and assessment of potential landing sites for safe quadrotor landing. Our solution efficiently integrates 2D and 3D environmental information, eliminating the need for external aids such as GPS and …

Distributed Policy Gradient for Linear Quadratic Networked Control with Limited Communication Range
Yuzi Yan, Yuan Shen
https://arxiv.org/abs/2403.03055 ht…

Distributed Policy Gradient for Linear Quadratic Networked Control with Limited Communication Range
This paper proposes a scalable distributed policy gradient method and proves its convergence to near-optimal solution in multi-agent linear quadratic networked systems. The agents engage within a specified network under local communication constraints, implying that each agent can only exchange information with a limited number of neighboring agents. On the underlying graph of the network, each agent implements its control input depending on its nearby neighbors' states in the linear quadratic …

This https://arxiv.org/abs/2401.14301 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Some determinants involving quadratic residues modulo primes
In this paper we evaluate several determinants involving quadratic residues modulo primes. For example, for any prime $p>3$ with $p\equiv3\pmod4$ and $a,b\in\mathbb Z$ with $p\nmid ab$, we prove that $$\det\left[1+\tanπ\frac{aj^2+bk^2}p\right]_{1\le j,k\le\frac{p-1}2}=\begin{cases}-2^{(p-1)/2}p^{(p-3)/4}&\text{if}\ (\frac{ab}p)=1, \\p^{(p-3)/4}&\text{if}\ (\frac{ab}p)=-1,\end{cases}$$ where $(\frac{\cdot}p)$ denotes the Legendre symbol. We also pose some conjectures for further research.

This https://arxiv.org/abs/2403.02328 has been replaced.
link: https://scholar.google.com/scholar?q=a

Strong Thermomechanical Noise Squeezing Stabilized by Feedback
Squeezing the quadrature noise of a harmonic oscillator used as a sensor can enhance its sensitivity in certain measurment schemes. The canonical approach, based on parametric modulation of the oscillation frequency, is usually limited to a squeezing of at most 3 dB. However, this can be overcome by additional stabilization of the anti-squeezed quadrature. Here, we apply this approach to highly-stressed silicon nitride membrane resonators, with effective masses of the order few nanograms and qu…

Warum außenrum, wenn man auch einfach drüber kann?
#Sheep #Tortoises

Kulturtipp: VEKTOR-Lasershow im Kraftwerk
Im ehemaligen Kraftwerk in Berlin präsentiert der Lichtkünstler Christopher Bauder auf 2000 Quadratmeter eine Indoor-Lichtinstallation der Extraklasse.
https://www.

This https://arxiv.org/abs/2401.14301 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Some determinants involving quadratic residues modulo primes
In this paper we evaluate several determinants involving quadratic residues modulo primes. For example, for any prime $p>3$ with $p\equiv3\pmod4$ and $a,b\in\mathbb Z$ with $p\nmid ab$, we prove that $$\det\left[1+\tanπ\frac{aj^2+bk^2}p\right]_{1\le j,k\le\frac{p-1}2}=\begin{cases}-2^{(p-1)/2}p^{(p-3)/4}&\text{if}\ (\frac{ab}p)=1, \\p^{(p-3)/4}&\text{if}\ (\frac{ab}p)=-1,\end{cases}$$ where $(\frac{\cdot}p)$ denotes the Legendre symbol. We also pose some conjectures for further research.

This https://arxiv.org/abs/2403.16603 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the $\mathbb{Z}_p$-extensions of a totally $p$-adic imaginary quadratic field -- With an appendix by Jean-François Jaulent
Let $k$ be an imaginary quadratic field, and let $p$ be an odd prime number split in $k$. We analyze some properties of arbitrary $\mathbb{Z}_p$-extensions K/k. These properties are governed by the Hase norm residue symbol of the fundamental $p$-unit of $k$, in terms of the valuation $δ_p(k)$ of a Fermat quotient, which determines the order of the logarithmic class group $\widetilde{\mathcal{H}_k}$ (Theorem 2.2) and leads, under some conditions, to generalizations of Gold's criterion character…

This https://arxiv.org/abs/2403.16603 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the $\mathbb{Z}_p$-extensions of a totally $p$-adic imaginary quadratic field -- With an appendix by Jean-François Jaulent
Let $k$ be an imaginary quadratic field, and let $p$ be an odd prime number split in $k$. We analyze some properties of arbitrary $\mathbb{Z}_p$-extensions K/k. These properties are governed by the Hase norm residue symbol of the fundamental $p$-unit of $k$, in terms of the valuation $δ_p(k)$ of a Fermat quotient, which determines the order of the logarithmic class group $\widetilde{\mathcal{H}_k}$ (Theorem 2.2) and leads, under some conditions, to generalizations of Gold's criterion character…