Tootfinder

#Fensterfreitag

I have no fucking idea what’s going on in Dresden Codak but I can’t stop following it because the art is soooo goood
Maybe I need to start reading from the beginning again.

Asymptotic properties of zeros of Riemann zeta function
Juan Arias de Reyna, Yves Meyer
https://arxiv.org/abs/2507.07253 https://arxi…

Asymptotic properties of zeros of Riemann zeta function
We try to define the sequence of zeros of the Riemann zeta function by an intrinsic property. Let $(z_k)_{k\in \mathbb{N}}$ be the sequence of nontrivial zeros of $ζ(s)$ with positive imaginary part. We write $z_k= 1/2+iτ_k$ (RH says that these $τ_k$ are all real). Then the sequence $(τ_k)_{k\in \mathbb{N}},$ satisfies the following asymptotic relation \[\sum_{k\in\mathbb{N}}\frac{2x}{x^2+τ_k^2}\simeq \frac12\log\frac{x}{2π}+\sum_{n=1}^\infty \frac{a_n}{x^n},\,\,x\to +\infty\] where $a_{2…

Perhaps worth noting usxports, past references, if the same function, appear to have been under .mil names
https://mastodon.social/@botgov/115191994244102322

Gestern bin ich auf "The Disintegration Loops" von William Basinski gestoßen.
https://www.youtube.com/watch?v=mjnAE5go9dI
Heute ist der 11. September, und zieht Euch bitte den Wikipedia-Artikel zu den Disintegration Loops rein (https://en.wikipedia.org/wiki/The_Disintegration_Loops). Wahnsinn!
Auszug:
Basinski finished the project the morning of the September 11, 2001 attacks in New York City, and sat on the roof of his apartment building in Brooklyn with friends as the World Trade Center collapsed. He filmed the fallout during the last hour of daylight from a roof, and the following morning he played "Disintegration Loop 1.1" as a soundtrack to the aftermath. Stills from the video were used as the covers for the set of four CDs, and several weeks later Basinski dedicated the work to the victims in a postscript in the liner notes. He said that "the events gave new meaning to the musical pieces created by catastrophic decay in my studio a few weeks before."

{purrr} has some lesser known functions that make handling of failing function calls easier: safely, quietly, possibly: #rstats

Wrap a function to capture errors — safely
Creates a modified version of .f that always succeeds. It returns a list with components result and error. If the function succeeds, result contains the returned value and error is NULL. If an error occurred, error is an error object and result is either NULL or otherwise.

On a nonlinear Schr\"odinger-Bopp-Podolsky system in the zero mass case: functional framework and existence
Erasmo Caponio, Pietro d'Avenia, Alessio Pomponio, Gaetano Siciliano, Lianfeng Yang
https://arxiv.org/abs/2506.09752

On a nonlinear Schrödinger-Bopp-Podolsky system in the zero mass case: functional framework and existence
In this paper, we consider in $\mathbb{R}^3$ the following zero mass Schrödinger-Bopp-Podolsky system \[ \begin{cases} -Δu +q^2ϕu=|u|^{p-2}u\\ -Δϕ+a^2Δ^2ϕ=4πu^2 \end{cases} \] where $a>0$, $q\ne 0$ and $p\in (3,6)$. Inspired by [Ruiz, Arch. Ration. Mech. Anal. 198 (2010)], we introduce a Sobolev space $\mathcal{E}$ endowed with a norm containing a nonlocal term. Firstly, we provide some fundamental properties for the space $\mathcal{E}$ including embeddings into Lebesgue space…

Maximal Subsemigroups of Infinite Symmetric Inverse Monoids
M. Hampenberg, Y. P\'eresse
https://arxiv.org/abs/2509.08468 https://arxiv.org/pdf/2509.084…

Maximal Subsemigroups of Infinite Symmetric Inverse Monoids
The symmetric inverse monoid $I_X$ on a set $X$ consists of all bijective functions whose domain and range are subsets of $X$ under the usual composition and inversion of partial functions. For an arbitrary infinite set $X$, we classify all maximal subsemigroups and maximal inverse subsemigroups of $I_X$ which contain the symmetric group Sym($X$) or any of the following subgroups of Sym($X$): the pointwise stabiliser of a finite subset of $X$, the stabiliser of an ultrafilter on $X$, or the sta…

eSASRec: Enhancing Transformer-based Recommendations in a Modular Fashion
Daria Tikhonovich, Nikita Zelinskiy, Aleksandr V. Petrov, Mayya Spirina, Andrei Semenov, Andrey V. Savchenko, Sergei Kuliev
https://arxiv.org/abs/2508.06450

eSASRec: Enhancing Transformer-based Recommendations in a Modular Fashion
Since their introduction, Transformer-based models, such as SASRec and BERT4Rec, have become common baselines for sequential recommendations, surpassing earlier neural and non-neural methods. A number of following publications have shown that the effectiveness of these models can be improved by, for example, slightly updating the architecture of the Transformer layers, using better training objectives, and employing improved loss functions. However, the additivity of these modular improvements …

Global attractor of chemotaxis system with weak degradation and density-dependent motion
Lin Guo, Dan Li
https://arxiv.org/abs/2507.07554 https://

Global attractor of chemotaxis system with weak degradation and density-dependent motion
This paper investigates the following chemotaxis system featuring weak degradation and nonlinear motility functions \begin{equation}\label{Model1} \begin{cases} u_{t} = (γ(v)u)_{xx} + r - μu, & x \in [0,L],\ t > 0, v_{t} = v_{xx} - v + u, & x \in [0,L],\ t > 0, \end{cases} \end{equation} defined on the bounded interval $[0,L]$ with homogeneous Neumann boundary conditions. The motility function $γ(v)$ satisfies the regularity conditions $γ\in C^{2}[0,\infty)$ with $γ(v) > 0$ for…