Tootfinder

Incommensurate magnetic order drives singular angular magnetoresistance in a Weyl semimetal
X. Yao, P. Chen, R. Verma, X. Zhao, H. -Y. Yang, L. DeBeer-Schmitt, A. A. Aczel, C. -M. Wu, D. Alba Venero, T. Ohhara, K. Munakata, M. Takahashi, Y. Noda, A. Bansil, B. Singh, P. Nikoli\'c, F. Tafti, J. Gaudet
https://arxiv.org/abs/2509.18398

Very cool population genomic look into local adaptation against gene flow at a relatively small spatial scale, urban/rural gradients across metro Toronto in this month's @…
Signatures of selective sweeps in urban and rural white clover populations

Heat kernel asymptotics and analytic torsion on non-degenerate CR manifolds
Chin-Yu Hsiao, Rung-Tzung Huang, Guokuan Shao
https://arxiv.org/abs/2509.19167 https://

Thinking about structure preservation. Given a nice enough (say, GAT) signature like (pseudo-Agda)
we can automatically derive the appropriate notion of homomorphism:
But what if I want to talk about preserving derived structure, like terminal objects? I might try to extend the signature (C : Cat) with (c : Ob C) (_ : is-terminal c), but then a morphism between those is just a pointed functor, so this doesn't help. Rather than extend Cat with a terminal object, it seems like I need to extend it with the notion of terminality itself:
This extends the notion of homomorphism like so:
Now every Cat extends to a CatWithTerminality by setting IsTerminal := is-terminal, and we can say that a Functor preserves terminal objects if it extends to a FunctorWithTerminality.
Has anyone thought about this in similar terms?

Tur\'an densities of stars in uniformly dense hypergraphs
Hao Lin, Wenling Zhou
https://arxiv.org/abs/2510.12576 https://arxiv.org/pdf/2510.12576

Turán densities of stars in uniformly dense hypergraphs
A $3$-uniform hypergraph (or $3$-graph) $H=(V,E)$ is $(d,μ, \text{dot})$-dense if for any subsets $X, Y, Z\subseteq V$, the number of triples $(x,y,z)\in X\times Y\times Y$ with $\{x,y,z\}$ being an edge of $H$ is at least $d|X||Y||Z|-μ|V|^3$. Similarly, we say that $H$ is $(d,μ, \text{dot-edge})$-dense if for any subset $X\subseteq V$ and every pair set $P\subseteq V\times V$, the number of pairs $(x,(y,z))\in X\times P$ with $\{x,y,z\}$ being an edge…

Sum of short exponential sums with prime numbers
Firuz Rakhmonov
https://arxiv.org/abs/2510.09102 https://arxiv.org/pdf/2510.09102

Sum of short exponential sums with prime numbers
For sufficiently large integers $K$, $x$, $y$, and $q$ satisfying $K \le y < x$, where $f(u) = αu^n + α_{n-1}u^{n-1} + \ldots + α_1 u$ is a polynomial of degree $n$ with real coefficients, $n$ is a fixed positive integer, $α$ is a real number such that $\left|α- \frac{a}{q}\right| \le \frac{1}{q^2}$, $(a, q) = 1$, $q \ge 1$ and $\mathscr{L} = \ln x$, an estimate of the form $$ \sum_{k=1}^K \left| \sum_{x - y < p \le x} e(kf(p)) \right| \ll K y \left( \frac{1}{q} + \frac…

Constructing crowded Hausdorff $P$-spaces in set theory without the axiom of choice
Eleftherios Tachtsis, Eliza Wajch
https://arxiv.org/abs/2510.11935 https://

Constructing crowded Hausdorff $P$-spaces in set theory without the axiom of choice
For an infinite set $X$, a closed under finite unions family $\mathcal{Z}$ with $[X]^{<ω}\subseteq\mathcal{Z}\subseteq\mathcal{P}(X)$, and any $\mathcal{A}\subseteq\mathcal{P}(X)$, the topology $τ_{\mathcal{A}}[\mathcal{Z}]=\{V\in\mathcal{A}: (\forall x\in V)(\exists z\in \mathcal{Z})(x\cap z=\emptyset \wedge \{y\in\mathcal{A}: x\subseteq y\subseteq X\setminus z\}\subseteq V)\}$ on $\mathcal{A}$ is investigated to give answers to the following open problem in various models of $\mathbf{ZF}$ o…

Bromine-methanol etching of semiconductor crystals $Cd_{1-x}Zn_{x}Te_{1-y}Se_{y}$ with different selenium concentrations
S. V. Naydenov, G. M. Babenko, O. K. Kapustnyk, I. M. Pritula
https://arxiv.org/abs/2509.24532

Bromine-methanol etching of semiconductor crystals $Cd_{1-x}Zn_{x}Te_{1-y}Se_{y}$ with different selenium concentrations
The effect of the selenium concentration in the composition of the $Cd_{1-x}Zn_{x}Te_{1-y}Se_{y}$ semiconductor crystals on their etching with a bromine-methanol solution was studied. A thermodynamic model is proposed to describe the degree of etching of $Cd_{1-x}Zn_{x}Te$ and $Cd_{1-x}Zn_{x}Te_{1-y}Se_{y}$ crystals. A thermodynamic law is obtained for the first time to describe the change in the etching rate of $Cd_{1-x}Zn_{x}Te_{1-y}Se_{y}$ crystals with different selenium concentrations. Exp…

Information-Computation Tradeoffs for Noiseless Linear Regression with Oblivious Contamination
Ilias Diakonikolas, Chao Gao, Daniel M. Kane, John Lafferty, Ankit Pensia
https://arxiv.org/abs/2510.10665

Information-Computation Tradeoffs for Noiseless Linear Regression with Oblivious Contamination
We study the task of noiseless linear regression under Gaussian covariates in the presence of additive oblivious contamination. Specifically, we are given i.i.d.\ samples from a distribution $(x, y)$ on $\mathbb{R}^d \times \mathbb{R}$ with $x \sim \mathcal{N}(0,\mathbf{I}_d)$ and $y = x^\top β+ z$, where $z$ is drawn independently of $x$ from an unknown distribution $E$. Moreover, $z$ satisfies $\mathbb{P}_E[z = 0] = α>0$. The goal is to accurately recover the regressor $β$ to small $\ell_2…

Tonight comet #Lemmon was picked up by several wide-angle webcams in Europe: https://x.com/JAtanackov/status/1977456751831093352 at the Raxalpe in Austria (left) and https://bsky.app/profile/huubeggen.bsky.social/post/3m2zhian3722b in Abisko, Sweden, together with aurora. Its brightness - https://cobs.si/obs_list?id=2606 - is around 5.2 mag. now and the degree of condensation 5 to 7, so for these cameras the comets looks like a slightly fuzzy green five-mag. star.

Eruptive mass loss less than a year before the explosion of superluminous supernovae. II. A systematic search for pre-explosion eruptions with VLT/X-shooter
A. Gkini, C. Fransson, R. Lunnan, S. Schulze, J. Sollerman K. Tsalapatas, N. Sarin, M. Nicholl, C. Angus, U. Burgaz, S. J. Brennan, T. -W. Chen, A. Gal-Yam, A. Gangopadhyay, Y. Hu, M. M. Kasliwal, R. R. Laher, P. J. Pessi, B. Rusholme, E. Russeil, A. Singh, C. Skoglund, R. Smith, B. van Baal, S. L. West, L. Yan

Eruptive mass loss less than a year before the explosion of superluminous supernovae. II. A systematic search for pre-explosion eruptions with VLT/X-shooter
We present X-shooter observations of a sample of 21 hydrogen-poor superluminous supernovae (SLSNe-I), spanning a redshift range of z=0.13-0.95, aimed at searching for shells of circumstellar material (CSM). Specifically, we focus on identifying broad Mg II absorption features that are blueshifted by several thousand kilometers per second and have previously been interpreted as arising from resonance line scattering of the SLSN continuum by rapidly expanding CSM ejected shortly before explosion.…

A Generalized $\chi_n$-Function
Cheng Lyu, Mu Yuan, Dabin Zheng, Siwei Sun, Shun Li
https://arxiv.org/abs/2509.20880 https://arxiv.org/pdf/2509.20880

A Generalized $χ_n$-Function
The mapping $χ_n$ from $\F_{2}^{n}$ to itself defined by $y=χ_n(x)$ with $y_i=x_i+x_{i+2}(1+x_{i+1})$, where the indices are computed modulo $n$, has been widely studied for its applications in lightweight cryptography. However, $χ_n $ is bijective on $\F_2^n$ only when $n$ is odd, restricting its use to odd-dimensional vector spaces over $\F_2$. To address this limitation, we introduce and analyze the generalized mapping $χ_{n, m}$ defined by $y=χ_{n,m}(x)$ with $y_i=x_i+x_{i+m} (x_{i+m-1…

Enrich your ggplots with extra panels along the x and y axis: #ggplot #dataviz <…

GitHub - jtlandis/ggside: ggplot2 extension allowing for plotting various geometries as side panels using the ggplot2 API
ggplot2 extension allowing for plotting various geometries as side panels using the ggplot2 API - jtlandis/ggside

Plotted my MacBook Pro's battery usage history based on almost 4 years of coconutBattery data for shits and giggles

Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping
Fredy Maglorio Sobrado Su\'arez, Gilson Tumelero, Jackson Luchesi, Marieli Musial Tumelero, Santos Richard Wieller Sanguino Bejarano
https://arxiv.org/abs/2510.09865

Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping
This manuscript studies a model of double-walled carbon nanotubes using two Timoshenko beams which are coupled by the Van der Walls force $(y-u)$. Kelvin-Voigt type dampings $(u_x-v)_{xt}$ and $(y_x-z)_{xt}$ and fractional dampings $(-\partial_{xx})^αv_t$ and $(-\partial_{xx})^βz_t$ in both beams have been considered. We show that our proposed model is well established and that the semigroup associated is exponentially stable and analytical for any $(α, β) \in [0, 1]^2$. As a consequence of…

Some results on spectra and certain norms
Danielle Witt
https://arxiv.org/abs/2510.04199 https://arxiv.org/pdf/2510.04199

Some results on spectra and certain norms
Given the norms of powers $(\lVert x^n\rVert)_{n\geq 0}$ of a Banach algebra element $x$, the largest possible value of the minimum modulus on the spectrum of $x$ is determined. It is also shown that, given a Banach algebra element $x$ and a compact set $K\subset\mathbb{C}$ with maximum modulus no more than the spectral radius of $x$, there exists a Banach algebra element $y$ with $\lVert y^n\rVert=\lVert x^n\rVert$ for all $n\geq 0$ and spectrum equal to the union of the spectrum of $x$ and $K…

🫧 An Innovative Solution Method for the Evaluation of CO2 Disposal in the Seafloor Environment
#climatechange

Automorphism Groups of the $PSL_2(q)$ Commuting Involution Graphs
James Bryden, Peter Rowley
https://arxiv.org/abs/2509.25901 https://arxiv.org/pdf/2509.25…

Automorphism Groups of the $PSL_2(q)$ Commuting Involution Graphs
Given a finite group $G$ and a conjugacy class of involutions $X$ of $G$, we define the commuting involution graph $\mathcal{C}(G,X)$ to be the graph with vertex set $X$ and $x,y \in X$ adjacent if and only if $x \neq y$ and $xy =yx$. In this paper the automorphism group of the graph $\mathcal{C}(G,X)$ is determined when $G = PSL_2(q)$.

Beyond Linear Diffusions: Improved Representations for Rare Conditional Generative Modeling
Kulunu Dharmakeerthi, Yousef El-Laham, Henry H. Wong, Vamsi K. Potluru, Changhong He, Taosong He
https://arxiv.org/abs/2510.02499

Beyond Linear Diffusions: Improved Representations for Rare Conditional Generative Modeling
Diffusion models have emerged as powerful generative frameworks with widespread applications across machine learning and artificial intelligence systems. While current research has predominantly focused on linear diffusions, these approaches can face significant challenges when modeling a conditional distribution, $P(Y|X=x)$, when $P(X=x)$ is small. In these regions, few samples, if any, are available for training, thus modeling the corresponding conditional density may be difficult. Recog…

On entry-exit formulas for degenerate turning point problems in planar slow-fast systems
Renato Huzak, Kristian Uldall Kristiansen
https://arxiv.org/abs/2510.02770 https://

On entry-exit formulas for degenerate turning point problems in planar slow-fast systems
In this paper, we study degenerate entry-exit problems associated with planar slow-fast systems having an invariant line $\{(x,y)\,:\,y=0\}$ with a turning point at $x=0$. The degeneracy stems from the fact that the slow flow has a saddle-node of even order $2n$, $n\in \mathbb N$, at the turning point, i.e. $x' = -x^{2n}(1+o(1))$ for $ε=0$. We are motivated by the appearance of such turning point problems (for $n=1$) in the graphics $(I_2^1)$ and $(I_4^1)$, through a nilpotent saddle-node sing…

On Optimal Markovian Couplings of Levy Processes
Wei Yang Kang, Tau Shean Lim
https://arxiv.org/abs/2509.23086 https://arxiv.org/pdf/2509.23086

On Optimal Markovian Couplings of Levy Processes
We study the optimal Markovian coupling problem for two Pi-valued Feller processes {X_t} and {Y_t}, which seeks a coupling process {(X_t, Y_t)} that minimizes the right derivative at t = 0 of the expected cost E^{(x,y)}[c(X_t, Y_t)], for all initial states (x,y) in Pi^2 and a given cost function c on Pi. This problem was first formulated and solved by Chen (1994) for drift-diffusion processes and later extended by Zhang (2000) to Markov processes with bounded jumps. In this work, we resolve the…

Tracking Electron, Proton, and Solvent Motion in Proton-Coupled Electron Transfer with Ultrafast X-rays
Abdullah Kahraman, Michael Sachs, Soumen Ghosh, Benjamin I. Poulter, Estefan\'ia Sucre-Rosales, Elizabeth S. Ryland, Douglas Garratt, Sumana L. Raj, Natalia Powers-Riggs, Subhradip Kundu, Christina Y. Hampton, David J. Hoffman, Giacomo Coslovich, Georgi L. Dakovski, Patrick L. Kramer, Matthieu Chollet, Roberto A. Mori, Tim B. van Driel, Sang-Jun Lee, Kristjan Kunnus, Amy A. Cordo…

Tracking Electron, Proton, and Solvent Motion in Proton-Coupled Electron Transfer with Ultrafast X-rays
Proton-coupled electron transfer (PCET) is foundational to catalysis, bioenergetics, and energy conversion, yet capturing and disentangling the coupled motions of electrons, protons, and solvent has remained a major experimental challenge. We combine femtosecond optical spectroscopy, site-specific ultrafast soft X-ray absorption spectroscopy, and time-resolved X-ray scattering with advanced calculations to disentangle the elementary steps of PCET in solution. Using a ruthenium polypyridyl model…

An Effective Method for Solving a Class of Transcendental Diophantine Equations
Zeyu Cai
https://arxiv.org/abs/2510.11753 https://arxiv.org/pdf/2510.11753

An Effective Method for Solving a Class of Transcendental Diophantine Equations
This paper investigates the exponential Diophantine equation of the form $a^x+b=c^y$, where $a, b, c$ are given positive integers with $a,c \ge 2$, and $x,y$ are positive integer unknowns. We define this form as a "Type-I transcendental diophantine equation." A general solution to this problem remains an open question; however, the ABC conjecture implies that the number of solutions for any such equation is finite. This work introduces and implements an effective algorithm designed to solve the…

Closed-form $\ell_r$ norm scaling with data for overparameterized linear regression and diagonal linear networks under $\ell_p$ bias
Shuofeng Zhang, Ard Louis
https://arxiv.org/abs/2509.21181

Closed-form $\ell_r$ norm scaling with data for overparameterized linear regression and diagonal linear networks under $\ell_p$ bias
For overparameterized linear regression with isotropic Gaussian design and minimum-$\ell_p$ interpolator $p\in(1,2]$, we give a unified, high-probability characterization for the scaling of the family of parameter norms $ \\{ \lVert \widehat{w_p} \rVert_r \\}_{r \in [1,p]} $ with sample size. We solve this basic, but unresolved question through a simple dual-ray analysis, which reveals a competition between a signal *spike* and a *bulk* of null coordinates in $X^\top Y$, yielding closed-form …

I never knew Nintendo's X and Y buttons were named after vector components.
https://bsky.app/profile/did:plc:lxj6fo7atoir35pvn3idij42/post/3lzr3ij3rvk2w via Time Extension.

Feebly Interacting Particles: FIPs at LHCb
J. Alimena, J. Boyd, G. Cacciapaglia, A. Casais Vidal, X. Cid Vidal, S. Collaviti, A. De Oyanguren Campos, G. Dalla Valle Garcia, G. Elor, G. Ferretti, D. Gorbunov, E. Goudzovski, J. Hajer, J. Jerhot, B. Kishor Jashal, V. Kholoimov, J. Klaric, F. Kling, E. Kriukova, Y. Kyselov, G. Lanfranchi, C. Langenbruch, A. Merli, M. Ovchinnykov, J. Pfaller, G. Perez, P. Reimitz, I. Sanderswood, L. Shchutska, E. Torro Pastor, Y. Tsai, A. Usachov, L. Vale S…

Feebly Interacting Particles: FIPs at LHCb
With the establishment and maturation of the experimental programs searching for new physics with sizeable couplings at the LHC, there is an increasing interest in the broader particle and astrophysics community for exploring the physics of light and feebly-interacting particles as a paradigm complementary to a New Physics sector at the TeV scale and beyond. FIPs@LHCb continues the successful series of the FIPs workshops, FIPs 2020 and FIPs 2022. The main focus of the workshop was to explore th…

The failure of the Ehlers--Kundt conjecture in the impulsive case
Moriz L. Frauenberger, James D. E. Grant, Roland Steinbauer
https://arxiv.org/abs/2509.24989 https://

The failure of the Ehlers--Kundt conjecture in the impulsive case
In 1962, Ehlers and Kundt conjectured that plane waves are the only class of complete Ricci-flat~\emph{pp}-waves, i.e.\ metrics on ${\mathbb R}^4$ of the form \[ ds^2=2du\,dv+dx^2+dy^2+H(x,y,u)du^2\,. \] Recently, Flores and Sánchez gave a proof of the conjecture in the fundamental case of spatially polynomially bounded profile functions $H$. However, impulsive pp-waves, i.e., waves with concentrated profile functions of the form $H(x,y,u)=f(x,y)\,δ(u)$ ($δ$, the Dirac measure) have been fou…

One other pattern that I kept experiencing last year when I was actually trying these tools in my work (because I had so many people pushing them on me I started to think I was crazy):
Them: “oh you are struggling with X? I have been using AI to solve it and it gives me the solution in less than 10 minutes! You HAVE TO try it!”
Me: “X is really annoying, I’d love to get help with it. I’ll try that, thanks!”
* I go and try to do X, spend hours prompting AI back-and-forth as it keeps messing up and doing things wrong. I give up and do the thing manually, spending 2-3x the time I would have spent if I did it myself from the start.*
*days / weeks later*
Me: “hey, person, I tried to do X with AI and it didn’t work. I kept getting issues like Y and Z. Did I prompt it wrong? This is what I tried.”
Them: *nods, maybe chuckles* “oh yeah, it does that. I still haven’t been able to figure out how to reliably do X. I tend to redo the output completely too. But sometimes it helps me do like this tiny part. Anyway, these tools will improve soon and we won’t have to do so many manual revisions. “
I kid you not, this stuff happened every other week.
#AI #LLMs #work #tech #AIBubble

Properties of Selector Proofs
Elijah Gadsby
https://arxiv.org/abs/2509.19373 https://arxiv.org/pdf/2509.19373

Properties of Selector Proofs
A serial property is a suitably enumerated sequence $\{F_n\}$ of formulas and is called selector provable in PA if there is a PA-recursive function $s(x)$ such that PA $\vdash \forall x (s(x){:}_{\text{PA}} \ulcorner F_x\urcorner)$ where $x{:}_{\text{PA}} y$ is a suitable proof predicate. These notions were introduced by Artemov in his analysis of consistency and the formalisation of metamathematics. These matters aside, the notion is intimately connected with that of relative consistency. Th…

Universal scaling of shear thickening suspensions under acoustic perturbation
Anna R. Barth, Navneet Singh, Stephen J. Thornton, Pranav Kakhandiki, Edward Y. X. Ong, Meera Ramaswamy, Abhishek M. Shetty, Bulbul Chakraborty, James P. Sethna, Itai Cohen
https://arxiv.org/abs/2510.11820

Universal scaling of shear thickening suspensions under acoustic perturbation
Tuning shear thickening behavior is a longstanding problem in the field of dense suspensions. Acoustic perturbations offer a convenient way to control shear thickening in real time, opening the door to a new class of smart materials. However, complete control over shear thickening requires a quantitative description for how suspension viscosity varies under acoustic perturbation. Here, we achieve this goal by experimentally probing suspensions with acoustic perturbations and incorporating their…

Development of Deep Neural Network First-Level Hardware Track Trigger for the Belle II Experiment
Y. -X. Liu, T. Koga, H. Bae, Y. Yang, C. Kiesling, F. Meggendorfer, K. Unger, S. Hiesl, T. Forsthofer, A. Ishikawa, Y. Ahn, T. Ferber, I. Haide, G. Heine, C. -L. Hsu, A. Little, H. Nakazawa, M. Neu, L. Reuter, V. Savinov, Y. Unno, J. Yuan, Z. Xu
https://

Development of Deep Neural Network First-Level Hardware Track Trigger for the Belle II Experiment
The Belle II experiment at the SuperKEKB accelerator is designed to explore physics beyond the Standard Model with unprecedented luminosity. As the beam intensity increased, the experiment faced significant challenges due to higher beam-induced background, leading to a high trigger rate and placing limitations on further luminosity increases. To address this problem, we developed trigger logic for tracking using deep neural network (DNN) technology on an FPGA for the Belle II hardware trigger s…

Diameter Bounds for Friends-and-Strangers Graphs
Amogh Akella, Rupert Li
https://arxiv.org/abs/2509.23511 https://arxiv.org/pdf/2509.23511

Diameter Bounds for Friends-and-Strangers Graphs
Consider two $n$-vertex graphs $X$ and $Y$, where we interpret $X$ as a social network with edges representing friendships and $Y$ as a movement graph with edges representing adjacent positions. The friends-and-strangers graph $\mathsf{FS}(X,Y)$ is a graph on the $n!$ permutations $V(X)\to V(Y)$, where two configurations are adjacent if and only if one can be obtained from the other by swapping two friends located on adjacent positions. Friends-and-strangers graphs were first introduced by De…

The \'etale fundamental group and $F$-divided sheaves in characteristic $p>0$
Xiaotao Sun, Lei Zhang
https://arxiv.org/abs/2509.24360 https://arxiv.…

The étale fundamental group and $F$-divided sheaves in characteristic $p>0$
We investigate how the étale fundamental group controls local systems in characteristic $p$, namely $F$-divided sheaves. In analogy with Grothendieck-Malcev's results for discrete groups, we show that if a morphism $f \colon Y \to X$ of smooth projective varieties over $k=\bar{k}$ induces a surjection on the étale fundamental groups, then the pullback functor ${\rm Fdiv}(X)\to {\rm Fdiv}(Y)$ is fully faithful. If $f$ is surjective and the induced map is an isomorphism, then the functor is an …

On the Performance of Amplitude-Based Models for Low-Rank Matrix Recovery
Huanmin Ge, Zhiqiang Xu
https://arxiv.org/abs/2509.24699 https://arxiv.org/pdf/25…

On the Performance of Amplitude-Based Models for Low-Rank Matrix Recovery
In this paper, we focus on low-rank phase retrieval, which aims to reconstruct a matrix $\mathbf{X}_0\in \mathbb{R}^{n\times m}$ with ${\mathrm{ rank}}(\mathbf{X}_0)\le r$ from noise-corrupted amplitude measurements $\mathbf{y}=|\mathcal{A}(\mathbf{X}_0)|+\boldsymbolη$, where $\mathcal{A}:\mathbb{R}^{n\times m}\rightarrow \mathbb{R}^{p}$ is a linear map and $\boldsymbolη\in \mathbb{R}^p$ is the noise vector. We first examine the rank-constrained nonlinear least-squares model $\hat{\…

Evolutionary Map of the Universe: Detection of the Wolf-Rayet Star WR40
A. C. Bradley, Z. J. Smeaton, M. D. Filipovic, N. F. H. Tothill, R. Z. E. Alsaberi, J. D. Collier, Y. A. Gordon, A. M. Hopkins, H. Zakir
https://arxiv.org/abs/2510.02615

Evolutionary Map of the Universe: Detection of the Wolf-Rayet Star WR40
We present a radio-continuum detection of the well-known Wolf-Rayet star WR40 at 943.5 MHz using observations from the EMU survey. We find that the shell surrounding WR40, known as RCW 58, has a flux density of 158.9+/-15.8 mJy and the star itself is 0.41+/-0.04 mJy. The shell size is found to be 9' x 6', which matches well with the shell in Halpha and is similarly matched to the shell at 22 um in infrared. Using Gaia data, we derive a linear size of 7.32(+/-0.34) x 4.89(+/-0.23) pc at a distan…

Find the best contrast between one color and a list of options, e.g. for labels in geom_tile: {prismatic::best_contrast()} https://emilhvitfeldt.github.io/prismatic/reference/best_contrast.html

Phase relation investigation of U-La-O system under oxidizing conditions and observation of novel meta-stable and mixed-valent uranium phase- Ln3U11O36 (Ln=La, Nd, Sm, Gd)
Shafeeq Muhammed, Geeta Patkare, Rohan Phatak
https://arxiv.org/abs/2510.06639

Phase relation investigation of U-La-O system under oxidizing conditions and observation of novel meta-stable and mixed-valent uranium phase- Ln3U11O36 (Ln=La, Nd, Sm, Gd)
Total of twelve samples in the U-La-O system with the compositions U1-yLayO2+x (y=0.025, 0.05, 0.1, up to 0.3) were synthesized by gel combustion synthesis method followed by appropriate heat treatment in air atmosphere. Comprehensive experimental analysis using various techniques like X-ray diffraction, thermogravimetry and oxygen to uranium ratio (O/U) are used to establish the phase relation in U1-yLayO2+x system at 1173 K and 1523 K heated in air. A novel meta-stable phase with stoichiometr…

A characterization of a class of border continuous triangular conorms
Zhi-qiang Lai, Xue-ping Wang
https://arxiv.org/abs/2509.24190 https://arxiv.org/pdf/2…

A characterization of a class of border continuous triangular conorms
Let $T^*:[0,1]^2\rightarrow[0,1]$ be a continuous, non-decreasing and associative function with neutral element, $f: [0,1]\rightarrow [0,1]$ be a strictly monotone function and $f^{(-1)}:[0,1]\rightarrow[0,1]$ be the pseudo-inverse of $f$. This article characterizes the function $T: [0,1]^2 \rightarrow [0,1]$ defined by $T(x,y)=f^{(-1)}(T^*(f(x),f(y)))$ when it is a border continuous triangular conorm.

Human brain high-resolution diffusion MRI with optimized slice-by-slice B0 field shimming in head-only high-performance gradient MRI systems
Patricia Lan, Sherry S. Huang, Chitresh Bhushan, Xinzeng Wang, Seung-Kyun Lee, Raymond Y. Huang, Jerome J. Maller, Jennifer A. McNab, Ante Zhu
https://arxiv.org/abs/2510.03586

Human brain high-resolution diffusion MRI with optimized slice-by-slice B0 field shimming in head-only high-performance gradient MRI systems
The purpose of this study is to propose a brain tissue-selective, optimized slice-by-slice B0 field shimming for high-resolution brain diffusion MRI. We incorporated actual gradient fields of X, Y, and Z gradient coils in the calculation of the shimming coefficients in dynamic slice-by-slice B0 field shimming to minimize B0 field inhomogeneity (i.e., Delta B0) in deep-learning segmented brain tissues. Diffusion MRI with oscillating gradient spin echo (OGSE) at 55 Hz and pulsed gradient spin ech…

Architecture of planetary systems with and without outer giant planets I. Inner planet detections around HD 23079, HD 196067, and HD 86226
J. -B. Delisle, J. P. Faria, D. S\'egransan, E. Fontanet, W. Ceva, D. Barbato, S. G. Sousa, N. Unger, A. Leleu, F. Bouchy, M. Cretignier, R. F. D\'iaz, X. Dumusque, Y. G. C. Frensch, N. C. Hara, G. Laughlin, G. Lo Curto, C. Lovis, M. Marmier, M. Mayor, L. Mignon, C. Mordasini, F. Pepe, N. C. Santos, S. Udry

Architecture of planetary systems with and without outer giant planets I. Inner planet detections around HD 23079, HD 196067, and HD 86226
Understanding the link between outer giant planets (OGPs) and inner light planets (ILPs) is key to understanding planetary system formation and architecture. The correlation between these two populations of planets is debated both theoretically -- different formation models predict either a correlation or an anticorrelation -- and observationally. Several recent attempts to constrain this correlation have yielded contradictory results, due to small-number statistics and heterogeneous samples. W…

Critical dynamics and superconducting state preparation in the quenched Kitaev chain with pairing imbalance
Y. B. Shi, Y. X. Zhang, S. W. Liu, Z. Song
https://arxiv.org/abs/2509.21540

Critical dynamics and superconducting state preparation in the quenched Kitaev chain with pairing imbalance
The dynamical balance of the pairing term plays a crucial role in the emergence of topological superconductivity in the p-wave spinless Kitaev chain, particularly in the non-Hermitian regime. In this work, we systematically investigate the effects of non-Hermitian pairing terms on both equilibrium and nonequilibrium phenomena in the Kitaev chain. Our analysis focuses on two representative forms of pairing imbalance: uniform and staggered. We demonstrate that a uniform imbalance induces only min…

Bimagnon dispersion of La2CuO4 probed by resonant inelastic X-ray scattering
A. Singh, H. Y. Huang, K. Tsutsui, T. Tohyama, S. Komiya, J. Okamoto, C. T. Chen, A. Fujimori, D. J. Huang
https://arxiv.org/abs/2510.02772

Bimagnon dispersion of La2CuO4 probed by resonant inelastic X-ray scattering
We report on the study of the magnetic excitations of Mott insulator La2CuO4 by using resonant inelastic x-ray scattering (RIXS) and cluster calculations within the framework of exact diagonalization. Our results demonstrate experimentally that the bimagnon excitation in Cu L-edge RIXS is enhanced if the incident x-ray energy is slightly above the absorption edge. Through incident-energy-dependent momentum-resolved RIXS, we investigated the excitation of the bimagnon with predominantly A1 symme…

Finding the diameter of a tree with distance queries
D\'aniel Gerbner, Andr\'as Imolay, Kartal Nagy, Bal\'azs Patk\'os, Krist\'of Z\'olomy
https://arxiv.org/abs/2509.23326

Finding the diameter of a tree with distance queries
We study the number of distance queries needed to identify certain properties of a hidden tree $T$ on $n$ vertices. A distance query consists of two vertices $x,y$, and the answer is the distance of $x$ and $y$ in $T$. We determine the number of queries an optimal adaptive algorithm needs to find two vertices of maximal distance up to an additive constant, and the number of queries needed to identify the hidden tree asymptotically. We also study the non-adaptive versions of these problems, dete…

JWST Observations of Starbursts: PAHs Closely Trace the Cool Phase of M82's Galactic Wind
Sebastian Lopez, Colton Ring, Adam K. Leroy, Serena A. Cronin, Alberto D. Bolatto, Laura A. Lopez, Vicente Villanueva, Deanne B. Fisher, Todd A. Thompson, Lee Armus, Torsten Boeker, Leindert A. Boogaard, Martha L. Boyer, Ryan Chown, Daniel A. Dale, Keaton Donaghue, Kimberly Emig, Simon C. O. Glover, Rodrigo Herrera-Camus, Ralf S. Klessen, Thomas S. -Y. Lai, Laura Lenkic, Rebecca C. Levy, David…

JWST Observations of Starbursts: PAHs Closely Trace the Cool Phase of M82's Galactic Wind
Stellar feedback drives multiphase gas outflows from starburst galaxies, but the interpretation of dust emission in these winds remains uncertain. To investigate this, we analyze new JWST mid-infrared images tracing polycyclic aromatic hydrocarbon (PAH) emission at 7.7 and 11.3~$μ$m from the outflow of the prototypical starburst M82 out to $3.2$ kpc. We find that PAH emission shows significant correlations with CO, H$α$, and X-ray emission within the outflow, though the strengths and behavior…

Primes of the form $ax by$ in certain intervals with small solutions
Yuchen Ding, Takao Komatsu, Honghu Liu
https://arxiv.org/abs/2510.01781 https://arxiv.…

Primes of the form $ax+by$ in certain intervals with small solutions
Let $1

An algebraic approach to Latin squares of prime power order by local permutation polynomials
Ra\'ul M. Falc\'on, Jaime Guti\'errez, Jorge Jim\'enez Urroz
https://arxiv.org/abs/2510.09086

An algebraic approach to Latin squares of prime power order by local permutation polynomials
Every Latin square of prime power order $q$ is uniquely described by a local permutation polynomial (LPP) in the polynomial ring $\mathbb{F}_q[x,y]$. Despite this equivalence, one may find in the literature only some preliminary results on the relationship among Latin squares and LPPs. This paper delves into this topic by showing how the coefficients of any LPP are identified with the zeros of an algebraic set over $\mathbb{F}_q$. This allows for an algebraic description of all Latin squares of…

Rapid onset of a Comptonisation zone in the repeating tidal disruption event XMMSL2 J140446.9-251135
R. D. Saxton, T. Wevers, S. van Velzen, K. Alexander, Z. Liu, A. Mummery, M. Giustini, G. Miniutti, F. Fuerst, J. J. E. Kajava, A. M. Read, P. G. Jonker, A. Rau, D. -Y. Li
https://arxiv.org/abs/2510.02905

Rapid onset of a Comptonisation zone in the repeating tidal disruption event XMMSL2 J140446.9-251135
We report here on observations of a tidal disruption event, XMMSL2 J1404-2511, discovered in an XMM-Newton slew, in a quiescent galaxy at z=0.043. X-ray monitoring covered the epoch when the accretion disc transitioned from a thermal state, with kT~80 eV, to a harder state dominated by a warm, optically-thick corona. The bulk of the coronal formation took place within 7 days and was coincident with a temporary drop in the emitted radiation by a factor 4. After a plateau phase of ~100 days, the …

Understanding Polaronic Transport in Anatase TiO2 Films by Combining Precise Synthesis and First-Principles Many-Body Theory
F. Liu, Z. Yang, Y. Luo, S. Guo, C. Zhang, S. Choo, X. Xu, X. Wang, K. A. Mkhoyan, M. Bernardi, B. Jalan
https://arxiv.org/abs/2510.07097

Understanding Polaronic Transport in Anatase TiO2 Films by Combining Precise Synthesis and First-Principles Many-Body Theory
In complex oxides, charge carriers often couple strongly with lattice vibrations to form polarons-entangled electron-phonon quasiparticles whose transport properties remain difficult to characterize. Experimental access to intrinsic polaronic transport requires ultraclean samples, while theoretical descriptions demand methods beyond low-order perturbation theory. Here, we combine the growth of high-quality oxygen-vacancy-doped anatase TiO2 films by hybrid molecular beam epitaxy (MBE) with a fir…

Convex Order and Arbitrage
Erica Zhang
https://arxiv.org/abs/2510.01599 https://arxiv.org/pdf/2510.01599

Convex Order and Arbitrage
Wiesel and Zhang [2023] established that two probability measures $μ,ν$ on $\mathbb{R}^d$ with finite second moments are in convex order (i.e. $μ\preceq_c ν$) if and only if $W_2(ν,ρ)^2-W_2(μ,ρ)^2 \leq \int |y|^2ν(dy) - \int |x|^2μ(dx).$ Let us call a measure $ρ$ maximizing $W_2(ν,ρ)^2-W_2(μ,ρ)^2$ the optimal $ρ$. This paper summarizes key findings by Wiesel and Zhang, develops new algorithms enhancing the search of optimal $ρ$, and builds on the paper throu…

Necessary and Sufficient Conditions for the Maz'ya-Shaposhnikova Formula in (Fractional) Sobolev Spaces
Elisa Davoli, Giovanni Di Fratta, Rossella Giorgio, Andrea Pinamonti
https://arxiv.org/abs/2509.23226

Necessary and Sufficient Conditions for the Maz'ya-Shaposhnikova Formula in (Fractional) Sobolev Spaces
We investigate the asymptotic behavior, as $\varepsilon \to 0$, of nonlocal functionals $$ \mathcal{F}_{\varepsilon}(u) = \iint_{\mathbb{R}^N\times\mathbb{R}^N} ρ_{\varepsilon}(y-x)\,|u(x)-u(y)|^p\,dx\,dy,\qquad u\in L^p(\mathbb{R}^N),\quad 1\leqslant p<\infty, $$ associated with a general family of nonnegative measurable kernels $\{ρ_{\varepsilon}\}_{\varepsilon>0}$. Our primary aim is to single out the weakest moment-type assumptions on the family $\{ρ_{\varepsilon}\}_{\varepsi…

Breaking the curse of dimensionality for linear rules: optimal predictors over the ellipsoid
Alexis Ayme, Bruno Loureiro
https://arxiv.org/abs/2509.21174 https://

Breaking the curse of dimensionality for linear rules: optimal predictors over the ellipsoid
In this work, we address the following question: What minimal structural assumptions are needed to prevent the degradation of statistical learning bounds with increasing dimensionality? We investigate this question in the classical statistical setting of signal estimation from $n$ independent linear observations $Y_i = X_i^{\top}θ+ ε_i$. Our focus is on the generalization properties of a broad family of predictors that can be expressed as linear combinations of the training labels, $f(X) = \s…

Hodge Conjecture via Singular Varieties
Ananyo Dan, Inder Kaur
https://arxiv.org/abs/2509.25273 https://arxiv.org/pdf/2509.25273

Hodge Conjecture via Singular Varieties
In this article we study the cohomological and homological (due to Jannsen) Hodge conjecture for singular varieties. The motivation for studying singular varieties comes from the fact that any smooth projective variety X is birational to a (possibly singular) hypersurface Y in a projective space. We prove that odd dimensional hypersurfaces with $A_n$ singularities satisfy both versions of the conjecture and moreover their (smooth) resolutions satisfy the classical Hodge conjecture, thus produci…

Effective Generalized Fermat equation of signature $(2p, 2q, r)$ with odd narrow class number
Satyabrat Sahoo
https://arxiv.org/abs/2509.21083 https://arxi…

Effective Generalized Fermat equation of signature $(2p, 2q, r)$ with odd narrow class number
Fix a rational prime $r \geq 5$. In this article, we study the integer solutions of the generalized Fermat equation of signature $(2p,2q,r)$, namely $x^{2p}+y^{2q}=z^r$, where the primes $p,q \geq 5$ are varying. For each rational prime $r \geq 5$, we first establish a condition on the solutions of the $S$-unit equation over $\mathbb{Q}(ζ_r+ ζ_r^{-1})$ such that there exists a constant $V_{r}>0$ (depending on $r$) for which the equation $x^{2p}+y^{2q}=z^r$ with $p,q \geq V_r$ has no non-trivi…

Curious that whenever someone shows me “the cool #AI flow” they built that’s supposed to be impressive, the conversation goes the same way:
Stage 1: “But you don’t understand. You don’t like AI because you haven’t used it right. Let me show you how much you can do it with.”
Stage 2: “Here are the steps in the flow and the instructions I feed to this agent / custom GPT / Claude project. I tell it to do X, reference document Y, and aim for Z.”
Stage 3: “Now, let me show you the results it gives.”
*Writes task, presses to run the prompt.*
Stage 4: “Umm sorry it’s taking a while. It’s fast but not instant. And by the way, the prompt isn’t perfect, you can definitely make it better. I just threw this together real quick the other day. It makes some mistakes, but it’s really good.”
Stage 5: “Uuuuuuh actually don’t look at the output.” *scrolls or stops screen share or pulls device away.*
“You know it’s already doing so well, if I do more prompt engineering it will get really good but I need to give it better instructions. And it ran just fine last night, I don’t know what’s up with it. And this is a cheap model, if we use another model it will be better.”
Stage 6: “You know, you really shouldn’t judge this so much. The technology will improve, it will get there sooner than you know and then you’ll regret not trying it sooner.”
So curious that this keeps happening 🤷‍♀️
#LLMs #work #tech #AIBubble

Modular Reactor for In Situ X-ray Scattering, Spectroscopy, and ATR-IR Studies of Solvothermal Nanoparticle Synthesis
Sani Y. Harouna-Mayer, Melike Gumus Akcaalan, Jagadesh Kopula Kesavan, Tjark R. L. Groene, Lars Klemeyer, Sarah-Alexandra Hussak, Lukas Grote, a Davide Derelli, Francesco Caddeo, Cecilia Zito, Paul St\"utzle, Dorota Speer, Ann-Christin Dippel, Blanka Detlefs, Yannik Appiarius, Axel Jacobi von Wangelin, Dorota Koziej

Modular Reactor for In Situ X-ray Scattering, Spectroscopy, and ATR-IR Studies of Solvothermal Nanoparticle Synthesis
Understanding the chemical processes that occur during the solvothermal synthesis of functional nanomaterials is essential for their rational design and optimization for specific applications. However, these processes remain poorly understood, primarily due to the limitations of conventional ex situ characterization techniques and the technical challenges associated with in situ studies, particularly the design and implementation of suitable reactors. Here, we present a versatile cell suitable …

New Algorithmic Directions in Optimal Transport and Applications for Product Spaces
Salman Beigi, Omid Etesami, Mohammad Mahmoody, Amir Najafi
https://arxiv.org/abs/2509.21502 h…

New Algorithmic Directions in Optimal Transport and Applications for Product Spaces
We study optimal transport between two high-dimensional distributions $μ,ν$ in $R^n$ from an algorithmic perspective: given $x \sim μ$, find a close $y \sim ν$ in $poly(n)$ time, where $n$ is the dimension of $x,y$. Thus, running time depends on the dimension rather than the full representation size of $μ,ν$. Our main result is a general algorithm for transporting any product distribution $μ$ to any $ν$ with cost $Δ+ δ$ under $\ell_p^p$, where $Δ$ is the Knothe-Rosenblatt transport c…

Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
Ethan Huecker, Yuxuan Wang
https://arxiv.org/abs/2510.05209 https://…

Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
We analyze the leading vestigial instability due to the melting of a bidirectional pair-density-wave state in two dimensions. In a previous work by one of the authors, it was found that the interplay between pair-density-wave fluctuations with ordering momenta along the $x$ and $y$ directions can provide a strong attractive interaction for charge-$4e$ superconductivity in the $d$-wave channel. In this work, we go beyond the artificial large-$M$ mean-field theory previously adopted and compute t…

The inter-universal Teichm\"uller theory and new Diophantine results over rational numbers. II
Zhong-Peng Zhou
https://arxiv.org/abs/2510.05448 https://

The inter-universal Teichmüller theory and new Diophantine results over rational numbers. II
[This is an older version of the paper, which will be updated soon.] In the present paper, we continue our research on the generalized Fermat equation $x^r + y^s = z^t$ with signature $(r, s, t)$, where $r, s, t \ge 2$ are positive integers such that $\frac{1}{r} + \frac{1}{s} + \frac{1}{t} < 1$. All known positive primitive solutions for the generalized Fermat equation when $\frac{1}{r} + \frac{1}{s} + \frac{1}{t} < 1$ are related to the Catalan solutions $1^n + 2^3 = 3^2$ and nine non-Catal…

There is no prime functional digraph: Seifert's proof revisited
Adrien Richard
https://arxiv.org/abs/2509.19940 https://arxiv.org/pdf/2509.19940…

There is no prime functional digraph: Seifert's proof revisited
A functional digraph is a finite digraph in which each vertex has a unique out-neighbor. Considered up to isomorphism and endowed with the directed sum and product, functional digraphs form a semigroup that has recently attracted significant attention, particularly regarding its multiplicative structure. In this context, a functional digraph $X$ divides a functional digraph $A$ if there exists a functional digraph $Y$ such that $XY$ is isomorphic to $A$. The digraph $X$ is said to be prime if i…

Search for Active and Inactive Ion Insertion Sites in Organic Crystalline Materials
Harshan Reddy Gopidi, Alae Eddine Lakraychi, Abhishek A. Panchal, Yiming Chen, V. S. Chaitanya Kolluru, Jiaqi Wang, Ying Chen, Liu Jue, Kamila Wiaderek, Maria K. Y. Chan, Yan Yao, Pieremanuele Canepa
https://arxiv.org/abs/2510.00278

Search for Active and Inactive Ion Insertion Sites in Organic Crystalline Materials
The position of mobile active and inactive ions, specifically ion insertion sites, within organic crystals, significantly affects the properties of organic materials used for energy storage and ionic transport. Identifying the positions of these atom (and ion) sites in an organic crystal is difficult, especially when the element has a low X-ray scattering power, such as lithium (Li) and hydrogen, which are difficult to detect with powder X-ray diffraction (XRD) methods. First-principles calcula…