Tootfinder

This is another horrifying statistic to shelve alongside the composition of global mammalian biomass:
• humans 34%
• livestock and pets 62%
• wild animals 4%
#science #biology #ecology

Jonathan Schofield (@urlyman@mastodon.social)
Attached: 1 image …Here are some highlights (lowlights): “If you drop all that old life into the container that we call Earth, and burn them, it turns out that what we burn in *1 year* weighs 100x more than everything alive today. Everything. All the whales, elephants, forests, insects, grass, crops, birds, fish, people, dogs and cats. Add up all the carbon in everything alive now, and still, in one year we burn a hundred times more.” #climateDiary

Generic infinite generation, fixed-point-poor representations and compact-element abundance in disconnected Lie groups
Alexandru Chirvasitu
https://arxiv.org/abs/2507.04065

Generic infinite generation, fixed-point-poor representations and compact-element abundance in disconnected Lie groups
The semidirect product $\mathbb{G}=\mathbb{L}\rtimes \mathbb{K}$ attached to a compact-group action on a connected, simply-connected solvable Lie group has a dense set of compact elements precisely when the $s\in \mathbb{K}$ operating on $\mathbb{L}$ fixed-point-freely constitute a dense set. This (along with a number of alternative equivalent characterizations) extends the Wu's analogous result for connected Lie $\mathbb{K}$, and also provides ample supplies of examples of almost-connected Lie…

When Black Holes Relax in a Cold Bath: Evolving Page Curves for Black Holes Coupled to Cooling Baths
Waheed A. Dar, Nirmalya Kajuri, Rinkesh Panigrahi
https://arxiv.org/abs/2506.23035

When Black Holes Relax in a Cold Bath: Evolving Page Curves for Black Holes Coupled to Cooling Baths
We consider scenarios where Jackiw-Teitelboim black holes are attached to baths whose temperatures can be manipulated externally. We consider the bath to be cooled continuously and numerically investigate the subsequent evolution of the generalized entropies of the black hole. Page curves corresponding to several different cooling profiles of the bath are obtained.

Arthur Ward, my father, was a participant in the D-Day invasion. He was born in Northampton in 1925. He served with the Royal Signals landing in France on D-Day 1 (7th June). His primary task was building a telephone network to support the RAF. In 1995 he wrote an extensive memoir. This blog post contains his recollection of the days before D-Day, at sea, landing and the first few days in France.

Arthur James WARD, 1925-2017 - Miscellanea Edintone
Lance Corporal no.14568781, 55 Construction Section, Royal Corps of Signals, part of 16 Air Formation Signals, attached to the Royal Air Force.

Multi-Model Framework for Reconstructing Gamma-Ray Burst Light Curves
A. Kaushal, A. Manchanda, M. G. Dainotti, K. Gupta, Z. Nogala, A. Madhan, S. Naqi, Ritik Kumar, V. Oad, N. Indoriya, Krishnanjan Sil, D. H. Hartmann, M. Bogdan, A. Pollo, JX. Prochaska, N. Fraija
https://arxiv.org/abs/2506.23681

Multi-Model Framework for Reconstructing Gamma-Ray Burst Light Curves
Mitigating data gaps in Gamma-ray bursts (GRBs) light curves (LCs) holds immense value for its application in cosmological research because it provides more precise measurements of the parameter of interest of the two-dimensional Dainotti relation which is a relation among the end time of the plateau emission, Ta, its respective luminosity, La which is calculated from the fluxes at the end of the plateau, Fa. This study extends the work done by arXiv:2305.12126; arXiv:2412.20091v4 on the 545 GR…

Wild Galois representations: elliptic curves with wild cyclic reduction
Nirvana Coppola
https://arxiv.org/abs/2506.20562 https://arxi…

Wild Galois representations: elliptic curves with wild cyclic reduction
In 1990, Kraus classified all possible inertia images of the $\ell$-adic Galois representation attached to an elliptic curve over a non-archimedean local field. In previous work, the author computed explicitly the Galois representation of elliptic curves having non-abelian inertia image, a phenomenon which only occurs when the residue characteristic of the field of definition is $2$ or $3$ and the curve attains good reduction over some non-abelian ramified extension. In this work, the computati…

EraRAG: Efficient and Incremental Retrieval Augmented Generation for Growing Corpora
Fangyuan Zhang, Zhengjun Huang, Yingli Zhou, Qintian Guo, Zhixun Li, Wensheng Luo, Di Jiang, Yixiang Fang, Xiaofang Zhou
https://arxiv.org/abs/2506.20963

EraRAG: Efficient and Incremental Retrieval Augmented Generation for Growing Corpora
Graph-based Retrieval-Augmented Generation (Graph-RAG) enhances large language models (LLMs) by structuring retrieval over an external corpus. However, existing approaches typically assume a static corpus, requiring expensive full-graph reconstruction whenever new documents arrive, limiting their scalability in dynamic, evolving environments. To address these limitations, we introduce EraRAG, a novel multi-layered Graph-RAG framework that supports efficient and scalable dynamic updates. Our met…

This https://arxiv.org/abs/2410.01282 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Self-replicating fuels via autocatalytic molecular bond fission
This computational study advances a theoretical framework for practical, electrochemical fuel generation displaying exponential product yields and product formation rates as functions of time. Exponential reaction scaling is simulated through an autocatalytic cycle that emulates the process of DNA replication facilitated by the well-known polymerase chain reaction (PCR). Here, an initial buildup of formate into a two-carbon chain through CO2 carboxylation forms oxalate. A subsequent, two-electr…

Quaternionic Kolyvagin systems and Iwasawa theory for Hida families
Francesco Zerman
https://arxiv.org/abs/2507.04980 https://arxiv.o…

Quaternionic Kolyvagin systems and Iwasawa theory for Hida families
We build a modified universal Kolyvagin system for the Galois representation attached to a Hida family of modular forms, starting from the big Heegner point Euler system of Longo--Vigni built in towers of Shimura curves. We generalize the work of Büyükboduk to a quaternionic setting, relaxing the classical \emph{Heegner hypothesis} on the tame conductor of the family. As a byproduct of this construction, we give a proof of one divisibility of the anticyclotomic Iwasawa main conjecture for Hid…