Tootfinder

#TIL: Canada is a global hammerthrow powerhouse. https://flipboard.com/@cbcnews/british-columbia-i8sdok9nz/-/a--YFZQWC3Riel9pofq186JA:a%3…

Canada's Katzberg, Rogers win hammer throw titles at Kip Keino Classic
Canada's top hammer throwers continued to shine at the World Athletics Continental Tour in Nairobi, Kenya, on Saturday. Reigning world and Olympic …

Trump fires director of the Smithsonian's National Portrait Gallery (Associated Press)
https://www.cbsnews.com/news/trump-fires-director-smithsonian-national-portrait-gallery-kim-sajet/
http://www.memeorandum.com/250531/p14#a250531p14

Layer potentials for elliptic operators with DMO-type coefficients: big pieces $Tb$ theorem, quantitative rectifiability, and free boundary problems
Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti
https://arxiv.org/abs/2505.23478

Layer potentials for elliptic operators with DMO-type coefficients: big pieces $Tb$ theorem, quantitative rectifiability, and free boundary problems
For $n \geq 2$, we consider the operator $L_A = -\mathrm{div }(A(\cdot)\nabla)$, where $A$ is a uniformly elliptic $(n+1)\times(n+1)$ matrix with variable coefficients, a Radon measure $μ$ on $\mathbb{R}^{n+1}$, and the associated gradient of the single layer potential operator $T_μ$. Under a Dini-type assumption on the mean oscillation of the matrix $A$, we establish the following results: 1) A rectifiability criterion for $μ$ in terms of $T_μ$. Under quantitative geometric and analytic …

An Amazon backed AI blackmails engineers when it discovers that it'll be replaced when given access to E-Mails which state so...
„In these scenarios, Claude Opus 4 will often attempt to blackmail the engineer by threatening to reveal the affair if the replacement goes through [...]”
From a BBC article talking about this. All the companies worki…

This https://arxiv.org/abs/2503.06207 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Transport and response coefficients in second-order dissipative relativistic hydrodynamics with quantum corrections: probing the quark-gluon plasma
A functional measure encompasses quantum corrections and is explored in the fluid/gravity correspondence. Corrections to response and transport coefficients in the second-order dissipative relativistic hydrodynamics are proposed, including the ones to the pressure, the relaxation time, and the shear relaxation. Their dependence on the quark-gluon plasma (QGP) temperature sets a temperature dependence on the running parameter encoding the one-loop quantum gravity correction, driven by a function…

This https://arxiv.org/abs/2502.03025 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Optimal control of the fidelity coefficient in a Cahn-Hilliard image inpainting model
We consider an inpainting model proposed by A. Bertozzi et al., which is based on a Cahn-Hilliard-type equation. This equation describes the evolution of an order parameter that represents an approximation of the original image occupying a bounded two-dimensional domain. The given image is assumed to be damaged in a fixed subdomain, and the equation is characterised by a linear reaction term. This term is multiplied by the so-called fidelity coefficient, which is a strictly positive bounded fun…

This https://arxiv.org/abs/2009.11945 has been replaced.
link: https://scholar.google.com/scholar?q=a

Some application of Grunsky coefficients in the theory of univalent functions
Let function $f$ be normalized, analytic and univalent in the unit disk ${\mathbb D}=\{z:|z|<1\}$ and $f(z)=z+\sum_{n=2}^{\infty} a_n z^n$. Using a method based on Grusky coefficients we study several problems over that class of univalent functions: upper bounds of the special case of the generalised Zalcman conjecture $|a_2a_3-a_4|$, of the third logarithmic coefficient, and of the second Hankel determinant for the logarithmic coefficients.

This https://arxiv.org/abs/2504.07873 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the Spectrality of the Differential Operators with Periodic Coefficients
In this paper, we establish a condition on the coefficients of differential operators generated in the space of square-integrable functions on the entire real line by an ordinary differential expression with periodic, complex-valued coefficients, under which the operator is a spectral operator in the sense of Dunford [1].

If I was in the military and someone like him celebrated his birthday parading me around... ->
Army anniversary parade on Trump's birthday could cost up to $45 million - CBS News
https://www.cbsnews.com/amp/news/trump-military-parad…

This https://arxiv.org/abs/2502.03025 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Optimal control of the fidelity coefficient in a Cahn-Hilliard image inpainting model
We consider an inpainting model proposed by A. Bertozzi et al., which is based on a Cahn-Hilliard-type equation. This equation describes the evolution of an order parameter that represents an approximation of the original image occupying a bounded two-dimensional domain. The given image is assumed to be damaged in a fixed subdomain, and the equation is characterised by a linear reaction term. This term is multiplied by the so-called fidelity coefficient, which is a strictly positive bounded fun…