Tootfinder

🇺🇦 Auf radioeins läuft...
Dry Cleaning:
🎵 Strong Feelings
#NowPlaying #DryCleaning
https://drycleaning.bandcamp.com/track/strong-feelings
https://open.spotify.com/track/4w7iiR54wJS8qYJG7dwcIX

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Dry Cleaning:
🎵 Oblivion
#DryCleaning
https://open.spotify.com/track/02HD6cY24Q6YQoefbwtWsl

On the Posterior Computation Under the Dirichlet-Laplace Prior
Paolo Onorati, David B. Dunson, Antonio Canale
https://arxiv.org/abs/2507.05214 https://

On the Posterior Computation Under the Dirichlet-Laplace Prior
Modern applications routinely collect high-dimensional data, leading to statistical models having more parameters than there are samples available. A common solution is to impose sparsity in parameter estimation, often using penalized optimization methods. Bayesian approaches provide a probabilistic framework to formally quantify uncertainty through shrinkage priors. Among these, the Dirichlet-Laplace prior has attained recognition for its theoretical guarantees and wide applicability. This art…

Quantitative stability control of the full spectrum of the Dirichlet Laplacian by the second eigenvalue
Alexis de Villeroch\'e
https://arxiv.org/abs/2506.05870

Quantitative stability control of the full spectrum of the Dirichlet Laplacian by the second eigenvalue
Let $Ω\subset \mathbb{R}^d$ be an open set of finite measure and let $Θ$ be a disjoint union of two balls of half measure. We study the stability of the full Dirichlet spectrum of $Ω$ when its second eigenvalue is close to the second eigenvalue of $Θ$. Precisely, for every $k \in \mathbb{N}$, we provide a quantitative control of the difference $|λ_k(Ω)-λ_k(Θ)|$ by the variation of the second eigenvalue $C(d,k)(λ_2(Ω)-λ_2(Θ))^α$, for a suitable exponent $α$ and a positive…

Heftige Druckwelle - Kamin explodiert: Ofenteile durchschlugen Fenster #News #Nachrichten

On sums involving powers of harmonic numbers
Lo Ho Tin
https://arxiv.org/abs/2507.03058 https://arxiv.org/pdf/2507.03058

On sums involving powers of harmonic numbers
In this paper, we study a Dirichlet series generated by powers of harmonic numbers. As an application of these functions, we derive certain series involving harmonic numbers. We also study the analytic properties of these Dirichlet series such as values negative integers and behavior at poles. In particular, objects similar to the Stieltjes constants are discussed. Asymptotics of the sums involving harmonic numbers are also studied. From these results I showed a connection between its analytic …

Neumann scalar determinants on constant curvature disks
Soumyadeep Chaudhuri
https://arxiv.org/abs/2507.05159 https://arxiv.org/pdf/2…

Neumann scalar determinants on constant curvature disks
Working in the $ζ$-function regularisation scheme, we find certain infinite series representations of the logarithms of massive scalar determinants, $\det(Δ+m^{2})$ for arbitrary $m^2$, on finite round disks of constant curvature ($R=\frac{2η}{L^2}, η=0,\pm1$) with Neumann boundary conditions. The derivation of these representations relies on a relation between the Neumann determinants on the disks and the corresponding Dirichlet determinants via the determinants of the Dirichlet-to-Neumann…

@…
This cartoon is from Tom Gauld's book: Revenge of the Librarians
copyright 2022
Get ALL his books. Read them. ALL of them are the best one.
#Reading

SKYSURF-10: A Novel Method for Measuring Integrated Galaxy Light
Delondrae D. Carter, Timothy Carleton, Daniel Henningsen, Rogier A. Windhorst, Seth H. Cohen, Scott Tompkins, Rosalia O'Brien, Anton M. Koekemoer, Juno Li, Zak Goisman, Simon P. Driver, Aaron Robotham, Rolf Jansen, Norman Grogin, Haina Huang, Tejovrash Acharya, Jessica Berkheimer, Haley Abate, Connor Gelb, Isabela Huckabee, John MacKenty

SKYSURF-10: A Novel Method for Measuring Integrated Galaxy Light
We describe the drizzling pipeline and contents of the drizzled database for Hubble Space Telescope Cycle 27-29 Archival Legacy project "SKYSURF," the largest archival project ever approved for Hubble. SKYSURF aims to investigate the extragalactic background light (EBL) using all 143,914 ACSWFC, WFC3UVIS, and WFC3IR images that have been taken by Hubble since its launch in 2002. SKYSURF has produced 38,027 single-visit mosaics and 7,893 multi-visit mosaics across 28 ACSWFC, WFC3UVIS, and WFC3IR…

🇺🇦 #NowPlaying on KEXP's #MiddayShow
Dry Cleaning:
🎵 Conversation
#DryCleaning
https://drycleaning.bandcamp.com/track/conversation
https://open.spotify.com/track/0MZfMBqsHdmfyIy2Ksiqoi