Tootfinder

Coupled Entropy: A Goldilocks Generalization?
Kenric P. Nelson
https://arxiv.org/abs/2506.17229 https://arxiv.org/pdf/2506.17229

Coupled Entropy: A Goldilocks Generalization?
Nonextensive Statistical Mechanics (NSM) has developed into a powerful toolset for modeling and analyzing complex systems. Despite its many successes, a puzzle arose early in its development. The constraints on the Tsallis entropy are in the form of an escort distribution with elements proportional to $p_i^q$, but this same factor within the Tsallis entropy function is not normalized. This led to consideration of the Normalized Tsallis Entropy (NTE); however, the normalization proved to make th…

Discovery of magnon self-interaction in a strongly driven antiferromagnet
David Rohrbach, Zhuquan Zhang, Takayuki Kurihara, Keith A. Nelson
https://arxiv.org/abs/2506.19040

Discovery of magnon self-interaction in a strongly driven antiferromagnet
Nonlinear dynamics govern a wide array of natural phenomena and are essential for understanding nonequilibrium behaviors in condensed matter systems. In magnetically ordered materials, magnons - the quanta of spin waves - exhibit intrinsic nonlinearities that are of great interest in fundamental research and practical applications. Despite progress in the nonlinear control of magnon modes in antiferromagnetic materials, the transition from perturbative to non-perturbative regimes of magnon cohe…

Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and sub-diffusion
Mingru Yang, Sajant Anand, Kristian Knakkergaard Nielsen
https://arxiv.org/abs/2507.16042

Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and sub-diffusion
The motion of dopants in magnetic spin lattices has received tremendous attention for at least four decades due to its connection to high-temperature superconductivity. Despite these efforts, we lack a complete understanding of their behavior, especially out-of-equilibrium and at nonzero temperatures. In this Article, we take a significant step towards a much deeper understanding based on state-of-the-art matrix-product-state calculations. In particular, we investigate the non-equilibrium dynam…

Fox News isn't banned in Canada, despite viral posts claiming otherwise – but it could be | Fact Checking | #thecanadianpressnews
so there's hope. they cite Fox has 66% market share for US cable news, but what is the market share of cable news itself? Nielsen's says streaming share for "TV" is now more than the combined share of cable and broadcast.
https://www.thecanadianpressnews.ca/fact_checking/fox-news-isnt-banned-in-canada-despite-viral-posts-claiming-otherwise-but-it-could-be/article_3566ffe6-45a5-54bf-981a-51f72ba0eada.html

On the Dynamics of Weighted Composition Operators
Nilson C. Bernardes Jr., Antonio Bonilla, Jo\~ao V. A. Pinto
https://arxiv.org/abs/2506.04476 https://

On the Dynamics of Weighted Composition Operators
We study the properties of power-boundedness, Li-Yorke chaos, distributional chaos, absolutely Cesàro boundedness and mean Li-Yorke chaos for weighted composition operators on $L^p(μ)$ spaces and on $C_0(Ω)$ spaces. We illustrate the general results by presenting several applications to weighted shifts on the classical sequence spaces $c_0(\mathbb{N})$, $c_0(\mathbb{Z})$, $\ell^p(\mathbb{N})$ and $\ell^p(\mathbb{Z})$ ($1 \leq p < \infty$) and to weighted translation operators on the classica…

Time-varying ecological interactions characterise equilibrium and stability
Annalisa Caligiuri, Emile Emery, Leonardo Ferreira, Juan Garc\'ia-Castillo, Simon D. Lindner, Javier Molina-Hern\'andez, Nelson Aloysio Reis de Almeida Passos, V\'itor Hugo Ribeiro, Marika Sartore, Boxuan Wang, Violeta Calleja-Solanas
https://

Time-varying ecological interactions characterise equilibrium and stability
Ecological communities are composed of species interactions that respond to environmental fluctuations. Despite increasing evidence of temporal variation in these interactions, most theoretical frameworks remain rooted in static assumptions. Here, we develop and apply a time-varying network model to five long-term ecological datasets spanning diverse taxa and environments. Using a generalized Lotka-Volterra framework with environmental covariates, we quantify temporal rewiring of interspecific …