Tootfinder

HUNT: High-Speed UAV Navigation and Tracking in Unstructured Environments via Instantaneous Relative Frames
Alessandro Saviolo, Jeffrey Mao, Giuseppe Loianno
https://arxiv.org/abs/2509.19452

HUNT: High-Speed UAV Navigation and Tracking in Unstructured Environments via Instantaneous Relative Frames
Search and rescue operations require unmanned aerial vehicles to both traverse unknown unstructured environments at high speed and track targets once detected. Achieving both capabilities under degraded sensing and without global localization remains an open challenge. Recent works on relative navigation have shown robust tracking by anchoring planning and control to a visible detected object, but cannot address navigation when no target is in the field of view. We present HUNT (High-speed UAV …

Relative solidity results and their applications to computations of some II$_1$ factor invariants
Juan Felipe Ariza Mejia, Dulanji Nikethani Amaraweera, Ionut Chifan, Krishnendu Khan
https://arxiv.org/abs/2509.19481

Relative solidity results and their applications to computations of some II$_1$ factor invariants
In this paper we prove that whenever $G$ is hyperbolic relative to a family of exact, ressidually finite subgroups $\{H_1, \ldots, H_n\}$, the corresponding von Neumann algebra $\mathcal L(G)$ is solid relative to the family of subalgebras $\{\mathcal L(H_1),\ldots ,\mathcal L(H_n)\}$. Building on this result and combining it with findings from geometric group theory, we construct a continuum of icc property (T) relative hyperbolic groups that give rise to pairwise non virtually isomorphic fact…

We’re not the only ones trying to help families in North Gaza evacuate to relative safety in the South.
@…’s efforts were an inspiration for Gaza Verified. And their appeal is struggling.
https://

Keep Hope Alive: a Gaza Giving Circle
We are a team of volunteers in the US and UK, led by two sisters passionate about helping our friends on the ground keep their families and neighbors alive with food, water, & shelter. We saw that their campaigns are extremely stagnant and wanted to find a way to direct steady help to them. We distribute your contributions equally every week for sustainable support.

The most telling thing?
They’re absolutely not trying to hide who they are.
And as “rebuttals” they’re not defending or relativizing what they’re doing—they just straight out dehumanize their critics as “clowns” or “hysterical”*.
*oh hey it’s not only an hominem but also a misogynistic term

Cosmological Perturbation in New General Relativity: Propagating mode from the violation of local Lorentz invariance
Kyosuke Tomonari, Taishi Katsuragawa, Shin'ichi Nojiri
https://arxiv.org/abs/2509.18772

Central values of Asai L-functions and twisted Gan--Gross--Prasad conjecture: relative trace formulas
Weixiao Lu, Danielle Wang, Zhiyu Zhang
https://arxiv.org/abs/2509.16356 htt…

Central values of Asai L-functions and twisted Gan--Gross--Prasad conjecture: relative trace formulas
We study certain new relative trace formulas on (non-reductive) period integrals involving Weil representations, in the context of the relative Langlands program. We study normal representatives using Galois theory, and establish geometric decompositions of relative trace formulas using normal representatives for good test functions. By comparing global representatives, local distributions and orbital integrals, we prove the twisted Gan--Gross--Prasad (GGP) conjecture on Asai L-functions, in an…

Flipping particles with nodal circulations by general relativity under the presence of an inner perturber
Gonzalo Carlos de El\'ia, Macarena Zanardi, Carla Florencia Coronel, Agust\'in Dugaro
https://arxiv.org/abs/2509.19641

Flipping particles with nodal circulations by general relativity under the presence of an inner perturber
From a secular Hamiltonian up to the quadrupole level with general relativity (GR), we study nodal circulations with orbital flips of test particles of the Habitable Zone (HZ) around a solar-mass star, which are perturbed by an inner planetary-mass companion. Nodal circulations with orbital flips of an HZ test particle with eccentricity e2 are possible for any mass m1 and eccentricity e1 of the inner perturber and a suitable inclination i2. In particular, the greater the values of m1 and e2 , t…

A Universal Framework for Controlling Non-Relativistic Spin Splitting
Aniruddha Ray, Subhadeep Bandyopadhyay, Sayantika Bhowal
https://arxiv.org/abs/2509.20041 https://

A Universal Framework for Controlling Non-Relativistic Spin Splitting
Non-relativistic spin splitting in antiferromagnets has recently attracted considerable attention. Here we present a universal framework for controlling such spin splitting by identifying and manipulating the key atomic distortions that govern it through external perturbations. We demonstrate this concept by tuning the spin-splitting energy in three representative materials with diverse symmetries, inversion-symmetric MnF$_2$, ferroelectric BaCuF$_4$, and LaMnO$_3$/RMnO$_3$ superlattices. Our r…

Polarimetry imprints of exotic compact objects: relativistic fluid spheres and gravastars
Hanna Liis Tamm, Nicolas Aimar, Jo\~ao Lu\'is Rosa
https://arxiv.org/abs/2509.20344

Polarimetry imprints of exotic compact objects: relativistic fluid spheres and gravastars
Recent observations of polarimetric parameters of active galactic nuclei motivate the study of polarization in the spacetime of exotic compact objects which can mimic the features of black holes in the strong field regime of gravity. In this work, we study the properties of two models for ultra-compact objects containing light rings - relativistic fluid spheres and gravastars. We have simulated the orbit of a hot spot around the considered objects in the polarization ray-tracing software GYOTO,…

TL; DR: We still need to raise $393.13 so we can send payments to @… and @… today :)
https…

Gaza Verified
Emergency appeal to get the Gaza Verified families stuck in the danger zone in the North to relative safety in the South.