Tootfinder

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators
Jorge J. Betancor, Estefan\'ia Dalmasso, Pablo Quijano
https://arxiv.org/abs/2506.14631

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators
In this paper we consider fractional Kolmogorov operators defined, in $\mathbb{R}^d$, by \[Λ_κ=(-Δ)^{α/2}+\fracκ{|x|^α} x\cdot \nabla,\] with $α\in (1,2)$, $α<(d+2)/2$ and $κ\in \mathbb{R}$. The operator $Λ_α$ generates a holomorphic semigroup $\{T_t^α\}_{t>0}$ in $L^2(\mathbb{R}^d)$ provided that $κ<κ_c$ where $κ_c$ is a critical coupling constant. We establish $L^p$-boundedness properties for the variation operators $V_ρ\left(\{t^\ell\partial_t^\ell T_t^α\}_{t>0…

$\beta$-integrated local depth and corresponding partitioned local depth representation
Siyi Wang, Alexandre Leblanc, Paul D. McNicholas
https://arxiv.org/abs/2506.14108

$β$-integrated local depth and corresponding partitioned local depth representation
A novel local depth definition, $β$-integrated local depth ($β$-ILD), is proposed as a generalization of the local depth introduced by Paindaveine and Van Bever \cite{paindaveine2013depth}, designed to quantify the local centrality of data points. $β$-ILD inherits desirable properties from global data depth and remains robust across varying locality levels. A partitioning approach for $β$-ILD is introduced, leading to the construction of a matrix that quantifies the contribution of one poin…

Replaced article(s) found for q-bio.TO. https://arxiv.org/list/q-bio.TO/new
[1/1]:
Graph-Convolutional-Beta-VAE for Synthetic Abdominal Aorta Aneurysm Generation

Behöver redigera en pdf hemifrån. Försöker logga in på det betalda Adobekonto jag har genom jobbet för att göra mitt jobb men Adobe insisterar på att jag inte har betalat för Acrobat (det enda programmet vi betalar för). Jag vill bara byta ut några år. Åter och åter igen blir det såhär när jag försöker använda kommersiell mjukvara. De vägrar ge mig tillgång till en tjänst vi betalat för, som fri mjukvara hade kunnat göra lika bra. Fattar verkligen inte varför man ska betala för mjukvara.

Great opportunity to show people the accessibility settings.
https://mastodon.social/@andjsch/114655906181034852

Andreas Schantl (@andjsch@mastodon.social)
Attached: 2 images Just installed the iOS 26 Beta for a test drive on my spare iPhone and while the glassy look is fancy to some degree, it makes things poorly visible. I am sure a lot of people will have troubles reading text on such transparent layers and generally finding small icons with bad contrast. #ios26 #apple #wwdc25 #accessibility

Regeringen ville alltså inte se rapporten. Minst sagt anmärkningsvärd sms-konversation mellan Dousas statssekreterare och Sidas generaldirektör. https://www.svt.se/nyheter/inrikes/smsen-visar-ud-avfardade-sida-forslag-om-stod-till-unrwa

Sms:en visar: UD avfärdade Sida-förslag om stöd till Unrwa
Sida ville betala ut stöd till Unrwa och tänkte informera utrikesdepartementet om förslaget. Men UD sa nej. Nu visar loggar som SVT:s 30 Minuter tagit del av att regeringens statssekreterare Diana Janse, i direkta sms till generaldirektören, försökt påverka Sidas hantering av ärendet.

New Polynomial Identities and Some Consequences
Kunle Adegoke
https://arxiv.org/abs/2506.06617 https://arxiv.org/pdf/2506.06617

New Polynomial Identities and Some Consequences
Using an elementary approach involving the Euler Beta function and the binomial theorem, we derive two polynomial identities; one of which is a generalization of a known polynomial identity. Two well-known combinatorial identities, namely Frisch's identity and Klamkin's identity, appear as immediate consequences of the polynomial identities. We subsequently establish several combinatorial identities, including a generalization of each of Frisch's identity and Klamkin's identity. Finally, we dev…

Pathfinding Quantum Simulations of Neutrinoless Double-$\beta$ Decay
Ivan A. Chernyshev, Roland C. Farrell, Marc Illa, Martin J. Savage, Andrii Maksymov, Felix Tripier, Miguel Angel Lopez-Ruiz, Andrew Arrasmith, Yvette de Sereville, Aharon Brodutch, Claudio Girotto, Ananth Kaushik, Martin Roetteler
https://arxiv.org/abs/2506.057…

Pathfinding Quantum Simulations of Neutrinoless Double-$β$ Decay
We present results from co-designed quantum simulations of the neutrinoless double-$β$ decay of a simple nucleus in 1+1D quantum chromodynamics using IonQ's Forte-generation trapped-ion quantum computers. Electrons, neutrinos, and up and down quarks are distributed across two lattice sites and mapped to 32 qubits, with an additional 4 qubits used for flag-based error mitigation. A four-fermion interaction is used to implement weak interactions, and lepton-number violation is induced by a neutr…

#WritersCoffeeClub Jun 6
What are the conventions of the genre in which you write? How strictly do you follow them?
Um.. . I don't know, I write high/epic/dark fantasy (according to my beta readers) but I follow my story where it leads me. Are there conventions? Probably. Do I care? Not consciously.

Collimated Hard X-Rays from Hybrid Laser and Plasma Wakefield Accelerators
Hong Zhang, Jianmeng Wei, Mengyuan Chu, Jiale Zheng, Zhiheng Lou, Ruoxuan Ma, Xizhuan Chen, Hao Wang, Jiacheng Zhu, Zongxin Zhang, Yi Xu, Yuxin Leng, Song Li, Ke Feng, Wentao Wang, Ruxin Li
https://arxiv.org/abs/2506.06833…

Collimated Hard X-Rays from Hybrid Laser and Plasma Wakefield Accelerators
We report a synergistic enhancement of betatron radiation based on the hybrid laser and plasma wakefield acceleration scheme. Quasi-phase-stable acceleration in an up-ramp plasma density first generates GeV-energy electron beams that act as a drive beam for PWFA, which then further accelerates the witness beam to GeV energies, enhancing both photon energy and flux. A full width at half maximum divergence $(6.1 \pm 1.9)\times(5.8\pm 1.6) $ mrad$^2$ of betatron radiation, a critical energy of $71…