Tootfinder

Intersection numbers between horizontal foliations of quadratic differentials
Dragomir Saric, Taro Shima
https://arxiv.org/abs/2506.14943 https://

Intersection numbers between horizontal foliations of quadratic differentials
We establish that the intersection number between the horizontal foliations of any two finite-area holomorphic quadratic differentials on an arbitrary Riemann surface is finite. Our main result shows that the intersection number is jointly continuous in the $L^1$-norm on the quadratic differentials. A corollary is that the Jenkins-Strebel differentials are not dense in the space of all finite-area holomorphic quadratic differentials when the infinite Riemann surface is not parabolic.

CWGAN-GP Augmented CAE for Jamming Detection in 5G-NR in Non-IID Datasets
Samhita Kuili, Mohammadreza Amini, Burak Kantarci
https://arxiv.org/abs/2506.15075

CWGAN-GP Augmented CAE for Jamming Detection in 5G-NR in Non-IID Datasets
In the ever-expanding domain of 5G-NR wireless cellular networks, over-the-air jamming attacks are prevalent as security attacks, compromising the quality of the received signal. We simulate a jamming environment by incorporating additive white Gaussian noise (AWGN) into the real-world In-phase and Quadrature (I/Q) OFDM datasets. A Convolutional Autoencoder (CAE) is exploited to implement a jamming detection over various characteristics such as heterogenous I/Q datasets; extracting relevant inf…

Spherically Symmetric Potentials in Quadratic $f(R)$ Gravity
Roger Anderson Hurtado
https://arxiv.org/abs/2506.15123 https://arxiv.or…

Spherically Symmetric Potentials in Quadratic $f(R)$ Gravity
We study the gravitational potential arising from static, spherically symmetric sources in a modified gravity theory described by a quadratic $f(R)$ model. The linearized field equations lead to a fourth-order differential equation, whose solution includes Newtonian and Yukawa-like terms. Imposing regularity at the origin and asymptotic flatness fixes all integration constants, making the potential fully determined by the mass distribution. We analyze classical profiles such as Plummer, Hernqui…

Stochastic Diagonal Estimation Based on Matrix Quadratic Form Oracles
Haishan Ye, Xiangyu Chang
https://arxiv.org/abs/2506.15360 https://

Stochastic Diagonal Estimation Based on Matrix Quadratic Form Oracles
We study the problem of estimating the diagonal of an implicitly given matrix $\Ab$. For such a matrix we have access to an oracle that allows us to evaluate the matrix quadratic form $ \ub^\top \Ab \ub$. Based on this query oracle, we propose a stochastic diagonal estimation method with random variable $\ub$ drawn from the standard Gaussian distribution. We provide the element-wise and norm-wise sample complexities of the proposed method. Our numerical experiments on different types and dimens…

On the solvability of some systems of quadratic integral equations in dimensions two and three
Vitali Vougalter
https://arxiv.org/abs/2506.15069 https://…

On the solvability of some systems of quadratic integral equations in dimensions two and three
The work deals with the existence of solutions of a certain system of quadratic integral equations in H^2(R^d,R^N), d = 2, 3. We demonstrate the existence of a perturbed solution by virtue of a fixed point technique.

The Orbit of WASP-4 b is in Decay
\"O. Ba\c{s}t\"urk, A. C. Kutluay, A. Barker, S. Yal\c{c}{\i}nkaya, J. Southworth, K. Barkaoui, A. W\"unsche, M. J. Burgdorf, M. Timmermans, E. Jehin, J. Tregloan-Reed, R. Figuera Jaimes, T. C. Hinse, B. Duru, J. Hitchcock, P. Longa-Pe\~na, S. Rahvar, S. Sajadian, M. Bretton, S. O. Selam, M. Gillon, M. Bonavita, G. D'Ago, M. Dominik, U. G. J{\o}rgensen, C. Snodgrass, P. Spyrato

The Orbit of WASP-4 b is in Decay
WASP-4 b is a hot Jupiter exhibiting a decreasing orbital period, prompting investigations into potential mechanisms driving its evolution. We analyzed 173 transit light curves, including 37 new observations, and derived mid-transit timings with EXOFAST, forming the most extensive TTV dataset for this system. Adding 58 literature timings and removing unreliable data, we constructed a TTV diagram with 216 points. Our analysis considered linear, quadratic, and apsidal motion models, with the quad…

Jobcenter und Rathaus Wedding

Shaping Bulk Fermi Arcs in the Momentum Space of Photonic Crystal Slabs
Luigi Frau, Simone Zanotti, Lydie Ferrier, Dario Gerace, Hai Son Nguyen
https://arxiv.org/abs/2506.13698

Shaping Bulk Fermi Arcs in the Momentum Space of Photonic Crystal Slabs
Exceptional points (EPs) are special spectral degeneracies of non-Hermitian operators: at the EP, the complex eigenvalues coalesce, i.e., they become degenerate in both their real and imaginary parts. In two-dimensional (2D) photonic crystal lattices, these elements can be tailored through structural engineering. In particular, it is known that a quadratic degeneracy in the photonic band structure can be split into a pair of Dirac points (DPs) by breaking one of the unit cell symmetries, and ea…

Characterization of negative line bundles whose Grauert blow-down are quadratic transforms
Fusheng Deng, Yinji Li, Qunhuan Liu, Xiangyu Zhou
https://arxiv.org/abs/2506.14264

Characterization of negative line bundles whose Grauert blow-down are quadratic transforms
We show that the Grauert blow-down of a holomorphic negative line bundle $L$ over a compact complex space is a quadratic transform if and only if $k_0L^*$ is very ample and $(k_0+1)L^*$ is globally generated, where $k_0$ is the initial order of $L^*$, namely, the minimal integer such that $k_0^*$ has nontrivial holomorphic section.

Seeking a quadratic refinement of Sendov's conjecture
Michael J. Miller
https://arxiv.org/abs/2506.12951 https://arxiv.org/pdf/25…

Seeking a quadratic refinement of Sendov's conjecture
A conjecture of Sendov states that if a polynomial has all its roots in the unit disk and if $β$ is one of those roots, then within one unit of $β$ lies a root of the polynomial's derivative. If we define $r(β)$ to be the greatest possible distance between $β$ and the closest root of the derivative, then Sendov's conjecture claims that $r(β) \le 1$. In this paper, we conjecture that there is a constant $c>0$ so that $r(β) \le 1-cβ(1-β)$ for all $β\in [0,1]$. We find such constants fo…