Tootfinder

A profile of prediction market Kalshi, which is using its federal financial license to open up sports gambling across the US, even in states where it is illegal (Justina Lee/Bloomberg)
https://www.bloomberg.com/news/features/20

Kalshi Pushes Sports Betting as Trump, Deregulation Boosts Prediction Market
Armed with a federal license and allies in Trumpworld, the tech start-up is pushing prediction markets across America into a legal gray zone: sports betting.

"Die Medizinerin witterte eine Straftat. Bei der Übergabe an die Kollegen von der Intensivmedizin regte sie an, die Patientin zu fotografieren und rechtsmedizinisch zu untersuchen. Doch nichts dergleichen geschah. Die Polizeibeamtin, die vor Ort von Marvin S. erfahren hatte, dass er mit der jungen Frau einvernehmlich Drogen konsumiert und dann mit ihr geschlafen habe, stieß sich zwar an den frauenfeindlichen Beschriftungen. Andererseits war er es selbst gewesen, der den Notruf gewählt u…

Asymptotics of the spectra of the Dirichlet and Dirichlet-Neumann problems for the Sturm-Liouville equation with integral perturbation
A. A. Shkalikov, V. N. Sivkin
https://arxiv.org/abs/2506.24095

Asymptotics of the spectra of the Dirichlet and Dirichlet-Neumann problems for the Sturm-Liouville equation with integral perturbation
The article studies the Dirichlet and Dirichlet-Neumann problems for the Sturm-Liouville equation perturbed by an integral operator with a convolution kernel. Sharp asymptotic formulas for the eigenvalues of these problems are found. The formulas contain information about the Fourier coefficients of the potential and the kernel, and estimates are obtained for the remainder terms of the asymptotics, which take into account both the rate of decrease as the eigenvvalues tend to infinity and the ra…

Femtosecond photocurrents by the Dresselhaus bulk spin-galvanic effect in an inversion-asymmetric ferromagnet
Junwei Tong, Zdenek Kaspar, Afnan Alostaz, Reza Rouzegar, Chihun In, Tim Titze, Maximilian Staabs, Genaro Bierhance, Yanzhao Wu, Holger Grisk, Jakob Walowski, Markus M\"unzenberg, Felicitas Gerhard, Johannes Kleinlein, Tobias Kie{\ss}ling, Charles Gould, Laurens W. Molenkamp, Xianmin Zhang, Daniel Steil, Tom S. Seifert, Tobias Kampfrath

Femtosecond photocurrents by the Dresselhaus bulk spin-galvanic effect in an inversion-asymmetric ferromagnet
We study ultrafast photocurrents in thin films of a model ferromagnetic metal with broken bulk inversion symmetry, the half-metallic Heusler compound NiMnSb, following excitation with an optical pump pulse with photon energy 1.55 eV. Remarkably, in terms of the direction of the sample magnetization M, all photocurrents are found to be a superposition of a component with Rashba- and Dresselhaus-type symmetry. We explain the Dresselhaus bulk photocurrent as follows: Pump-induced electron heating …

🇺🇦 #NowPlaying on KEXP's #PositiveVibrations
Dre Island:
🎵 Nice Again
#DreIsland
https://ineffablerecords.bandcamp.com/track/nice-again
https://open.spotify.com/track/1BGbSqFrkCC5fgMVrwmloK

The Dirichlet problem for the minimal surface system on smooth domains
Caiyan Li, Hengyu Zhou
https://arxiv.org/abs/2506.23245 https://

The Dirichlet problem for the minimal surface system on smooth domains
In this paper, we propose a new assumption (1.2) that involves a small oscillation and $C^2$ norms for maps from smooth bounded domains into Euclidean spaces. Furthermore, by assuming that the domain has non-negative Ricci curvature, we establish the Dirichlet problem for the minimal surface system via the mean curvature flow (MCF) with boundary. The long-time existence of such flow is derived using Bernstein-type theorems of higher codimensional self-shrinkers in the whole space and the half-s…

Littlewood--Paley estimates for pure-jump Dirichlet forms
Micha{\l} Gutowski
https://arxiv.org/abs/2506.23328 https://arxiv.org/pdf/2…

Littlewood--Paley estimates for pure-jump Dirichlet forms
We employ the recent generalization of the Hardy--Stein identity to extend the previous Littlewood--Paley estimates to general pure-jump Dirichlet forms. The results generalize those for symmetric pure-jump Lévy processes in Euclidean spaces. We also relax the assumptions for the Dirichlet form necessary for the estimates used in previous works. To overcome the difficulty that Itô's formula is not applicable, we employ the theory of Revuz correspondence and additive functionals. Meanwhile, we…

Semiregular and strongly irregular boundary points for nonlocal Dirichlet problems
Anders Bj\"orn, Jana Bj\"orn, Minhyun Kim
https://arxiv.org/abs/2506.23188

Semiregular and strongly irregular boundary points for nonlocal Dirichlet problems
In this paper we study nonlocal nonlinear equations of fractional $(s,p)$-Laplacian type on $\mathbf{R}^n$. We show that the irregular boundary points for the Dirichlet problem can be divided into two disjoint classes: semiregular and strongly irregular boundary points, with very different behaviour. Two fundamental tools needed to show this are the Kellogg property (from our previous paper) and a new removability result for solutions in the $V^{s,p}$ Sobolev type space, which we deduce more ge…

🇺🇦 #NowPlaying on KEXP's #SundaySoul
Derrick Laro:
🎵 Don't Stop 'Til You Get Enough
#DerrickLaro
https://open.spotify.com/track/1L1pykC31CVAahxwO6UD9x

On the Dirichlet Problem at Infinity and Poisson Boundary for Certain Manifolds without Conjugate Points
Fei Liu, Yinghan Zhang
https://arxiv.org/abs/2506.22883

On the Dirichlet Problem at Infinity and Poisson Boundary for Certain Manifolds without Conjugate Points
In this paper, we investigate the problem of the existence of the bounded harmonic functions on a simply connected Riemannian manifold $\widetilde{M}$ without conjugate points, which can be compactified via the ideal boundary $\widetilde{M}(\infty)$. Let $\widetilde{M}$ be a uniform visibility manifold which satisfy the Axiom $2$, or a rank $1$ manifold without focal points, suppose that $Γ$ is a cocompact discrete subgroup of $Iso(\widetilde{M})$, we show that for a given continuous function …