Tootfinder

Decorrelation phenomena in mixed moments for orthogonal families of $L$-Functions and their applications: automorphic periods, Fourier coefficients of half-integral weight forms, and isotropy subgroups of Tate--Shafarevich groups
Shenghao Hua
https://arxiv.org/abs/2508.07734

Decorrelation phenomena in mixed moments for orthogonal families of $L$-Functions and their applications: automorphic periods, Fourier coefficients of half-integral weight forms, and isotropy subgroups of Tate--Shafarevich groups
The Keating--Snaith conjecture for orthogonal families may be viewed as analogous to a Gaussian distribution with a negative mean, and the possibility that mixed moments resemble a composition of independent moments, these two insights were combined and applied in Lester and Radziwiłł's proof of quantum unique ergodicity for half-integral weight automorphic forms, via Soundararajan's method under the Generalized Riemann Hypothesis (GRH). This observation also yields a crucial and nontrivial s…

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem
Yao Wan
https://arxiv.org/abs/2509.08588 https://arxiv.org/pdf/2509.08588

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem
This paper investigates the spectral properties of the Hilbert-Brunn-Minkowski operator $L_K$ to derive stability estimates for geometric inequalities, including the local Brunn-Minkowski inequality. By analyzing the eigenvalues of $L_K$, we establish the uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem in $\mathbb{R}^{n}$ for $\frac{1-3n^2}{2n}\leq p<-n$ with $λ_2(-L_K)\geq \frac{n-1}{2n-1+p}$. Furthermore, we extend this uniqueness result to the range $-2n-1 \…

Reconciling Inflation with Hubble Anisotropies
Brett McInnes
https://arxiv.org/abs/2508.06796 https://arxiv.org/pdf/2508.06796

Reconciling Inflation with Hubble Anisotropies
There have been persistent suggestions, based on several diverse data sets, that the cosmic expansion is not exactly isotropic. It is not easy to develop a coherent theoretical account of such a ``Hubble anisotropy'', for, in standard General Relativity, intuition suggests that it contradicts the predictions of the very successful Inflationary hypothesis. We put this intuition on a firm basis, by proving that if we [a] make use of an Inflationary theory in which Inflation isotropises spatial ge…

Three-Dimensional Isotropic STED Nanoscopy using a Single Objective
Renlong Zhang, Xiaoyu Weng, Haoxian Zhou, Luwei Wang, Fangrui Lin, Wei Yan, Xiumin Gao, Bin Yu, Danying Lin, Liwei Liu, Chenshuang Zhang, Kayla K. Green, Ewoud R. E. Schmidt, Songlin Zhuang, Junle Qu
https://arxiv.org/abs/2507.06718

Three-Dimensional Isotropic STED Nanoscopy using a Single Objective
Accurate three-dimensional (3D) imaging requires an isotropic point spread function (PSF). However, the inherent missing aperture of a single objective lens results in an elongated, cigar-like PSF, which has rendered isotropic resolution in fluorescence microscopy seemingly insurmountable without a 4π configuration for decades. To address this long-standing challenge, we introduce ISO-STED (Isotropic Single-Objective STED) Nanoscopy, a novel approach that employs a single objective lens and a …

Cherenkov radiation in isotropic chiral matter: the space-frequency domain
R. Mart\'inez von Dossow, Eduardo Barredo-Alamilla, Maxim A. Gorlach, Luis F. Urrutia
https://arxiv.org/abs/2507.06369

Cherenkov radiation in isotropic chiral matter: the space-frequency domain
The electromagnetic response of isotropic chiral matter, as described by Carroll-Field-Jackiw electrodynamics, arises in distinct physical contexts ranging from condensed matter systems to Lorentz-violating extensions of high-energy physics. Here, we derive exact expressions for the circularly polarized electromagnetic fields that contribute independently to Cherenkov radiation in isotropic chiral matter. Each spectral energy distribution is gauge-invariant and positive, yielding radiation that…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[1/4]:
- The Algebra of the Pseudo-Observables I: Why Quantum Mechanics is the ultimate description of Rea...
Edoardo Piparo (Ministero dell'Istruzione dell'Universit\`a e della Ricerca)

Pseudoperiodic Spherical Boundary Conditions: Efficient And Isotropic 3D Particle Simulations Without Lattice Artifacts
Manuel Dedola, Ludovico Cademartiri
https://arxiv.org/abs/2507.07888

Pseudoperiodic Spherical Boundary Conditions: Efficient And Isotropic 3D Particle Simulations Without Lattice Artifacts
Periodic Boundary Conditions (PBC) introduce well-known lattice artifacts. We present a novel Pseudoperiodic Spherical Boundary Condition (SBC) that is perfectly isotropic. Through detailed comparative simulations, we demonstrate that SBC eliminates the structural and dynamic anisotropy inherent to PBC. For the crowded systems where these artifacts are most prominent, our method is also computationally more efficient than standard Minimum Image Convention implementations. This establishes SBC a…

Ex-minister's home searched in connection with controversial lawmaker's fraud case: https://benborges.xyz/2025/07/11/exministers-home-searched-in-connection.html

In search of constitutive conditions in isotropic hyperelasticity: polyconvexity versus true-stress-true-strain monotonicity
Maximilian P. Wollner, Gerhard A. Holzapfel, Patrizio Neff
https://arxiv.org/abs/2509.08597

In search of constitutive conditions in isotropic hyperelasticity: polyconvexity versus true-stress-true-strain monotonicity
The polyconvexity of a strain-energy function is nowadays increasingly presented as the ultimate material stability condition for an idealized elastic response. While the mathematical merits of polyconvexity are clearly understood, its mechanical consequences have received less attention. In this contribution we contrast polyconvexity with the recently rediscovered true-stress-true-strain monotonicity (TSTS-M${}^{++}\!$) condition. By way of explicit examples, we show that neither condition by …