Tootfinder

A survey of (UK home) heat-pump experiences that I responded to, and that you might too if you have had a heat pump for at least one heating season:
https://forms.office.com/e/c5XafcNpMP

Del Monte Foods files for bankruptcy and will search for buyer - CBS News
https://www.cbsnews.com/news/del-monte-bankruptcy-chapter-11/

4 killed in bar shooting in Anaconda, Montana; authorities searching for suspect (Alex Sundby/CBS News)
https://www.cbsnews.com/news/anaconda-montana-shooting/
http://www.memeorandum.com/250801/p122#a250801p122

Murmurations of Modular Forms and $p$-power Coefficients
Debanjana Kundu, Katharina Mueller
https://arxiv.org/abs/2507.00738 https://…

Murmurations of Modular Forms and $p$-power Coefficients
We extend the work of N. Zubrilina on murmuration of modular forms to the case when prime-indexed coefficients are replaced by squares of primes. Our key observation is that the shape of the murmuration density is the same.

Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients
Shane Cooper, Ilia Kamotski
https://arxiv.org/abs/2507.23380 h…

Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients
We consider a non-uniformly elliptic second-order differential operator with periodic coefficients that models composite media consisting of highly anisotropic cylindrical fibres periodically distributed in an isotropic background. The degree of anisotropy is related to the period of the coefficients via a `critical' high-contrast scaling. In particular, ellipticity is lost in certain directions as the period, $ε$, tends to zero. Our primary interest is in the asymptotic behaviour of the resol…

Quadratic Bureau-Guillot systems with the first and second Painlev\'e transcendents in the coefficients. Part I: geometric approach and birational equivalence
Marta Dell'Atti, Galina Filipuk
https://arxiv.org/abs/2506.22896

Quadratic Bureau-Guillot systems with the first and second Painlevé transcendents in the coefficients. Part I: geometric approach and birational equivalence
Bureau proposed a classification of systems of quadratic differential equations in two variables which are free of movable critical points, which was recently revised by Guillot. We revisit the quadratic Bureau-Guillot systems with the first and second Painlevé transcendent in the coefficients. We explain their birational equivalence by using the geometric approach of Okamoto's spaces of initial conditions and the method of iterative polynomial regularisation, solving the Painlevé equivalence…

Senate confirms Jeanine Pirro as U.S. Attorney for the District of Columbia (Kiki Intarasuwan/CBS News)
https://www.cbsnews.com/news/senate-confirms-jeanine-pirro-dc-us-attorney/
http://www.memeorandum.com/250802/p61#a250802p61

Stable skeleton integral equations for general coefficient Helmholtz transmission problems
Benedikt Gr\"a{\ss}le, Ralf Hiptmair, Stefan Sauter
https://arxiv.org/abs/2507.00991

Stable skeleton integral equations for general coefficient Helmholtz transmission problems
A novel variational formulation of layer potentials and boundary integral operators generalizes their classical construction by Green's functions, which are not explicitly available for Helmholtz problems with variable coefficients. Wavenumber explicit estimates and properties like jump conditions follow directly from their variational definition and enable a non-local (``integral'') formulation of acoustic transmission problems (TP) with piecewise Lipschitz coefficients. We obtain the well-pos…

Disney to pay $10 million to settle FTC lawsuit over collecting kids' data (Mary Cunningham/CBS News)
https://www.cbsnews.com/news/disney-lawsuit-ftc-unlawful-collection-childrens-personal-data/
http://www.memeorandum.com/250902/p108#a250902p108

Acting head of FEMA said he wasn't aware U.S. has a hurricane season, sources say (Nicole Sganga/CBS News)
https://www.cbsnews.com/news/fema-head-wasnt-aware-hurricane-season/
http://www.memeorandum.com/250602/p145#a250602p145