Tootfinder

I'm proud of this one #shitpost #discord

Catastrophizing in Tinnitus and Balance Disorders
https://www.psychologytoday.com/us/blog/sound-mind/202506/catastrophizing-in-tinnitus-and-balance-disorders?utm_source=fli…

Catastrophizing in Tinnitus and Balance Disorders
Catastrophizing links disordered sensory processing to the emotional and functional burden of tinnitus and dizziness.

On an analogy between the Wiener--Hopf formulations of discrete and continuous diffraction problems
A. I. Korolkov, R. C. Assier, A. V. Kisil
https://arxiv.org/abs/2507.04979

On an analogy between the Wiener--Hopf formulations of discrete and continuous diffraction problems
This article is dedicated to unifying the framework used to derive the Wiener--Hopf equations arising from some discrete and continuous wave diffraction problems.The main tools are the discrete Green's identity and the appropriate notion of discrete normal derivative. The resulting formal analogy between the Wiener--Hopf equations allows one to effortlessly move between the discrete and continuous formulations. The validity of this novel analogy is illustrated through several famous two-dimensi…

On the discrete Poincar\'e inequality for B-schemes of 1D Fokker-Planck equations in full space
Lei Li, Jian-Guo Liu, Zhen Wang
https://arxiv.org/abs/2507.03941

On the discrete Poincaré inequality for B-schemes of 1D Fokker-Planck equations in full space
In this paper, we propose two approaches to derive the discrete Poincaré inequality for the B-schemes, a family of finite volume discretization schemes, for the one-dimensional Fokker-Planck equation in full space. We study the properties of the spatially discretized Fokker-Planck equation in the viewpoint of a continuous-time Markov chain. The first approach is based on Gamma-calculus, through which we show that the Bakry-Émery criterion still holds in the discrete setting. The second approa…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Joy Division:
🎵 Disorder
#JoyDivision
https://josephleeharris.bandcamp.com/track/joy-division-disorder
https://open.spotify.com/track/2WEw8oFZiANQzWdGElO3Mf

Been doing some game testing that's required me to use Discord more again. And I mean, I knew Discord was bad, but admittedly, I'd forgotten how TRULY awful is

AFLOW4: heading toward disorder
Simon Divilov, Hagen Eckert, Scott D. Thiel, Sean D. Griesemer, Rico Friedrich, Nicholas H. Anderson, Michael J. Mehl, David Hicks, Marco Esters, Nico Hotz, Xiomara Campilongo, Arrigo Calzolari, Stefano Curtarolo
https://arxiv.org/abs/2507.03422

AFLOW4: heading toward disorder
AFLOW4 is the latest iteration of the AFLOW toolkit, specifically tailored to study high-entropy disordered materials. This upgrade includes innovative features like the Soliquidy module, based on the Euclidean transport cost between disordered and ordered material states. AFLOW4 can calculate dielectric functions to understand optical and electronic properties of disordered ceramics. The newly introduced human-readable data export feature ensures the uncomplicated incorporation of AFLOW4 in di…

Markov Perfect Equilibria in Discrete Finite-Player and Mean-Field Games
Felix H\"ofer, H. Mete Soner, Atilla Y{\i}lmaz
https://arxiv.org/abs/2507.04540

Markov Perfect Equilibria in Discrete Finite-Player and Mean-Field Games
We study dynamic finite-player and mean-field stochastic games within the framework of Markov perfect equilibria (MPE). Our focus is on discrete time and space structures without monotonicity. Unlike their continuous-time analogues, discrete-time finite-player games generally do not admit unique MPE. However, we show that uniqueness is remarkably recovered when the time steps are sufficiently small, and we provide examples demonstrating the necessity of this assumption. This result, established…

wip #art

A new discretization of the Euler equation via the finite operator theory
Miguel A. Rodr\'iguez, Piergiulio Tempesta
https://arxiv.org/abs/2507.05040 h…

A new discretization of the Euler equation via the finite operator theory
We propose a novel discretization procedure for the classical Euler equation based on the theory of Galois differential algebras and the finite operator calculus developed by G.C. Rota and collaborators. This procedure allows us to define algorithmically a new discrete model that inherits from the continuous Euler equation a class of exact solutions.