Tootfinder

Weakly distance-regular digraphs of diameter 2
Xiangli Wang, Yuefeng Yang
https://arxiv.org/abs/2507.11298 https://arxiv.org/pdf/2507…

Weakly distance-regular digraphs of diameter 2
Weakly distance-regular digraphs is a directed version of distance-regular graphs. In this paper, we characterize all weakly distance-regular digraphs of diameter 2.

🇺🇦 #NowPlaying on KEXP's #SundaySoul
Bettye LaVette:
🎵 Doin' the Best I Can
#BettyeLaVette
https://dominicdawson.bandcamp.com/track/doin-the-best-that-i-can-dominic-dawson-re-version
https://open.spotify.com/track/3M67LQndKD4NHf51JMcGmP

Weekend #Plankton Factoid 🦠🦐
Mating by copepods is a complicated process since they are always at risk of predation by other plankton or fishes. Male #copepods carefully mechanically and chemically track a receptive female, capture them, and deposit an adhesive spermatophore near the genital open…

Shadow and strong-field lensing effects of quantum-corrected RN blackhole
Nikko John Leo S. Lobos, Virginia C. Fernandez
https://arxiv.org/abs/2506.13091 h…

Shadow and strong-field lensing effects of quantum-corrected RN blackhole
We investigate the effects of a quantum-corrected RN black hole on the shadow using Perlick methodology and strong-field gravitational lensing using Tsukamoto's approach. Our analysis shows that even at extreme charge, the predicted shadow remains within the observational bounds set by the Event Horizon Telescope for both M87* and Sgr A*. The charge significantly influences the deflection angle near the photon sphere, while its effect diminishes at larger distances. In contrast, the quantum cor…

Functional second-order Gaussian Poincar\'e inequalities
Anna Vidotto, Guangqu Zheng
https://arxiv.org/abs/2506.13571 https://arx…

Functional second-order Gaussian Poincaré inequalities
In this paper, we work in the framework of Hilbert-valued Wiener structures and derive a functional version of the second-order Gaussian Poincaré inequality that leads to abstract bounds for Gaussian process approximation in $d_2$ distance. Our abstract bounds are flexible and can be applied in various examples including functional Breuer-Major central limit theorems, shallow neural networks, and spatial statistics of SPDEs solutions.

This grassy field has always been a beautiful buffer between the river and the train tracks that service the local waste management company that owns it. This time of year, wildflowers and butterflies are everywhere and it’s one of the highlights on this part of the greenway.
This week, I’ve noticed it’s suddenly begun to accumulate vintage fire and rescue vehicles. I don’t know what to make of it, but I hope it’s temporary.

A universal cutoff phenomenon for mean-field exchange models
Pietro Caputo, Matteo Quattropani, Federico Sau
https://arxiv.org/abs/2506.12816 https://

A universal cutoff phenomenon for mean-field exchange models
We study a broad class of high-dimensional mean-field exchange models, encompassing both noisy and singular dynamics, along with their dual processes. This includes a generalized version of the averaging process as well as some non-reversible extensions of classical exchange dynamics, such as the flat Kac model. Within a unified framework, we analyze convergence to stationarity from worst-case initial data in Wasserstein distance. Our main result establishes a universal cutoff phenomenon at an …

This, too, can be done. (One third of the maple syrup is totally fine, and far less oil is needed than specified.) And extremely bone-healthy! #nommention
https:…

Lemon-Miso Tofu With Broccoli Recipe (Gift Recipe)
Inspired by Cantonese-style lemon chicken, this vegetarian version features crispy tofu and broccoli coated in a citrusy sweet and savory sauce. This lemon sauce is neither overly sweet nor tart, but has a soft umami hum thanks to the addition of miso paste. The simple technique of dusting the tofu with cornstarch before pan-frying delivers crispy tofu that is light yet robust enough to carry the sauce. (The tofu and broccoli can also be cooked in an air-fryer with comparable results; see Tip f…

from my link log —
That fractal that's been up on my wall for 12 years.
https://chriskw.xyz/2025/05/21/Fractal/
saved 2025-05-23 htt…

The bunkbed conjecture still holds for cactus graphs and for graphs with certain biconnected components
Robin Denart
https://arxiv.org/abs/2506.09264 https…

The bunkbed conjecture still holds for cactus graphs and for graphs with certain biconnected components
Recently, the bunkbed conjecture has been shown to be false, which naturally prompts questions on how to classify the graphs that still satisfy the conjecture. We distinguish between a weak version of the bunkbed conjecture where all the horizontal edges of the bunkbed graph are present with the same probability and a strong version of the conjecture where the edge weights on the underlying graph may be assigned individually. We show that any given graph satisfies either version of the conjectu…