Tootfinder

Doubling bifurcations of invariant closed curves in 3D maps
Sayanho Biswas, Soumitro Banerjee, Viktor Avrutin, Iryna Sushko
https://arxiv.org/abs/2509.12943 https://

Doubling bifurcations of invariant closed curves in 3D maps
Numerous studies have reported two types of doubling of invariant closed curves (ICCs) in dynamical systems: (a) the creation of two disjoint ICCs such that iterations flip between them; and (b) the creation of a single ICC of double the length of the original ICC. Various methods have been proposed to analyze such bifurcations. We show that the methods proposed so far are not always adequate for analyzing and predicting these bifurcations. We propose a new method to overcome the difficulties.

Mitigating Random-Phase Sampling Noise in the Cepheid Period-Luminosity Relation: A Cross-Filter Consistency Approach
Mahdi Abdollahi, Atefeh Javadi, Barry F. Madore, Wendy L. Freedman, Hamidreza Mahani
https://arxiv.org/abs/2509.10901

Mitigating Random-Phase Sampling Noise in the Cepheid Period-Luminosity Relation: A Cross-Filter Consistency Approach
The Period-Luminosity (PL) relation is usually derived using time-averaged magnitudes, which require multiple-epoch observations to determine periods and adequately sample the light curves. Although single-epoch observations are more practical and require significantly less observational effort, they inherently introduce greater photometric scatter, leading to an increased dispersion in the derived Period-Luminosity relations. In this paper, we explore, in detail, a method that transforms singl…

A neural network model for quickly solving multiple-band light curves of contact binaries
Kai Li, Li-Heng Wang, Xiang Gao
https://arxiv.org/abs/2509.08189 https://

A neural network model for quickly solving multiple-band light curves of contact binaries
The advent of large-scale photometric surveys has led to the discovery of over a million contact binary systems. Conventional light curve analysis methods are no longer adequate for handling such massive datasets. To address this challenge, we developed a neural network-based model capable of rapid analysis of multiple-band light curves of contact binaries. Our model can determine the fundamental physical parameters, including temperature and mass ratios, orbital inclination, potential, fillout…

Many thanks to the potato industry for funding this literature review which shows athletes need carbs after intense exercise!
"Fundamentals of glycogen metabolism for coaches and athletes"
https://pmc.ncbi.nlm.nih.gov/articles/PMC6019055/
No but seriously, i…

Fundamentals of glycogen metabolism for coaches and athletes
The ability of athletes to train day after day depends in large part on adequate restoration of muscle glycogen stores, a process that requires the consumption of sufficient dietary carbohydrates and ample time. Providing effective guidance to ...

Faltings elliptic curves in twisted $\mathbb Q$-isogeny classes
Enrique Gonz\'alez-Jim\'enez, Joan-C. Lario
https://arxiv.org/abs/2509.23283 https://

Faltings elliptic curves in twisted $\mathbb Q$-isogeny classes
Let $G$ be the graph attached to the $\mathbb Q$-isogeny class of an elliptic curve defined over $\mathbb Q$: that is, a vertex for every elliptic curve defined over $\mathbb Q$ in the isogeny class, and edges in correspondence with the prime degree rational isogenies between them. Stevens shows that there is a unique elliptic curve in $G$ with minimal Faltings height. We call this curve the Faltings elliptic curve in $G$. For every square-free integer $d$, we consider the graph~$G^d$ attache…

Limit shapes for Domain-Wall (colored) vertex models
Philippe Di Francesco, David Keating
https://arxiv.org/abs/2509.25442 https://arxiv.org/pdf/2509.25442…

Limit shapes for Domain-Wall (colored) vertex models
We study partition functions with domain-wall like boundary conditions for path models issued from colored vertex models. These models display an arctic phenomenon, as attested by numerical simulations. We show that the colored vertex model is equivalent to a certain single-color ``colorblind" vertex model. In a special case of the weights for the colorblind touching paths, we derive the arctic curve using a bijective sliding map to non-intersecting paths, for which arctic curves were previousl…

Like the flowers from the last batch from Monkey Run, I think these flowers are some kind of 𝐻𝑒𝑙𝑖𝑜𝑝𝑠𝑖𝑠 and are pretty if well worn
#photo #photography #ForestFriday

Visual Authority and the Rhetoric of Health Misinformation: A Multimodal Analysis of Social Media Videos
Mohammad Reza Zarei, Barbara Stead-Coyle, Michael Christensen, Sarah Everts, Majid Komeili
https://arxiv.org/abs/2509.20724

Visual Authority and the Rhetoric of Health Misinformation: A Multimodal Analysis of Social Media Videos
Short form video platforms are central sites for health advice, where alternative narratives mix useful, misleading, and harmful content. Rather than adjudicating truth, this study examines how credibility is packaged in nutrition and supplement videos by analyzing the intersection of authority signals, narrative techniques, and monetization. We assemble a cross platform corpus of 152 public videos from TikTok, Instagram, and YouTube and annotate each on 26 features spanning visual authority, p…