Blackstone-backed data center operator AirTrunk commits to investing $30B in India by 2030, with plans to develop 5GW of new data center capacity in the country (Jagmeet Singh/TechCrunch)
https://techcrunch.com/2026/06/05/airtrunk-commits-30b-…
Pattern formation: reactivity is not necessary for chemotaxis--driven instabilities
Angela Monti
https://arxiv.org/abs/2608.03685 https://arxiv.org/pdf/2608.03685 https://arxiv.org/html/2608.03685
arXiv:2608.03685v1 Announce Type: new
Abstract: A classical result by Neubert, Caswell and Murray states that reactivity of a spatially homogeneous equilibrium is a necessary condition for diffusion-driven (Turing) instability. In this work, we investigate whether the same conclusion remains valid in the presence of chemotaxis. We consider a general reaction--diffusion system coupled with a chemotactic flux and establish necessary conditions for asymptotic instability. We show that the classical requirement of reactivity can be relaxed when the chemotactic contribution is sufficiently strong. In particular, while reactivity remains necessary for Turing instability, it is not a necessary condition for chemotaxis-driven instability. From a computational viewpoint, we extend the matrix-oriented formulation developed for reaction--diffusion systems to the more general class of reaction--diffusion--chemotaxis models. The chemotactic transport term is discretized in a form compatible with the matrix-oriented approximation of the diffusion operator, yielding an efficient numerical framework for the simulation of chemotaxis-driven pattern formation. A geometric interpretation of the instability region is presented, highlighting the distinct roles played by diffusion and chemotaxis. The theoretical and numerical developments are illustrated through two representative examples: a chemotaxis-extended Schnakenberg model, showing how chemotaxis modifies classical Turing patterns, and a predator--prey model, demonstrating that chemotaxis alone can induce pattern formation in the absence of both reactivity and diffusion-driven instability. These results reveal a fundamental difference between diffusion-driven and chemotaxis-driven mechanisms of spatial self-organization and provide new theoretical and computational insights into the role of non-symmetric transport processes in biological pattern formation.
toXiv_bot_toot
Editorial: The Human Rights Museum’s Nakba exhibit ignores the important context that I don’t want to hear about it
https://www.thebeaverton.com/2026/07/editorial-the-human-rights-museums-na…
Moving from VSCodium to Helix Editor was one of the best decisions I’ve ever made :) @… https://bsd.network/@ed1conf/116523434377351449
Ayer vi a un conductor de autobús con cascos de iPhone mientras conducía. Y no se, pero me suena que tienen cancelación de ruído... No los veo aptos para conducir
Thomas Smith withdrew from the Republican primary contest for Michigan’s eighth district last month.
On Tuesday, he won the nomination.
Unofficial results show Smith with more than 50% of the vote, according to the Associated Press,
defeating the man he endorsed,
anti-abortion activist Al Lemmo,
and the man Donald Trump endorsed,
former federal law enforcement officer Amir Hassan.
In a statement on Wednesday, Smith said he was “humbled and honored th…
contiguous_usa: Contiguous states (USA)
A network of contiguous states in the USA, in which each state is a node and two nodes are connected if they share a land-based geographic border. The dataset includes the lower 48 states, and the District of Columbia.
This network has 49 nodes and 107 edges.
Tags: Transportation, Roads, Unweighted
from my link log —
Fast commits for ext4.
https://lwn.net/SubscriberLink/842385/069d98ea9d94f2ed/
saved 2021-01-15 https://
Paramount commits to keep UK linear and streaming services separate, maintain news and kids' networks editorially independent, and boost Channel 5 funding (Lucas Manfredi/The Wrap)
https://www.thewrap.com/industry-news/busi
Shopify reports Q2 revenue up 34% YoY to $3.6B, above $3.45B est., GMV up 32% YoY to $115.6B, and forecasts Q3 revenue above est.; SHOP jumps 30% pre-market (Deborah Sophia/Reuters)
https://www.reuters.com/business/canadas-shopify-for…