Tootfinder

Conditioned stochastic stability of equilibrium states on uniformly hyperbolic sets
Bernat Bassols Cornudella, Matheus M. Castro
https://arxiv.org/abs/2506.15503

Conditioned stochastic stability of equilibrium states on uniformly hyperbolic sets
We establish conditioned stochastic stability of equilibrium states for Hölder potentials on uniformly hyperbolic sets.

Natural Hyperbolicity of Hexagonal Boron Nitride in the Deep Ultraviolet
Bongjun Choi, Jason Lynch, Wangleong Chen, Seong-Joon Jeon, Hyungseob Cho, Kyungmin Yang, Jonghwan Kim, Nader Engheta, Deep Jariwala
https://arxiv.org/abs/2507.13271

Natural Hyperbolicity of Hexagonal Boron Nitride in the Deep Ultraviolet
Hyperbolic media enable unique optical phenomena including hyperlensing, negative refraction, enhanced photonic density of states (PDOS), and highly confined polaritons. While most hyperbolic media are artificially engineered metamaterials, certain natural materials with extreme anisotropy can exhibit hyperbolic dispersion. Here, we report the first observation of natural hyperbolic dispersion in hexagonal boron nitride (hBN) in the deep-ultraviolet (DUV) regime, induced by strong, anisotropic …

Spectral Contraction of Boundary-Weighted Filters on delta-Hyperbolic Graphs
Le Vu Anh, Mehmet Dik, Nguyen Viet Anh
https://arxiv.org/abs/2506.15464 https:…

Spectral Contraction of Boundary-Weighted Filters on delta-Hyperbolic Graphs
Hierarchical graphs often exhibit tree-like branching patterns, a structural property that challenges the design of traditional graph filters. We introduce a boundary-weighted operator that rescales each edge according to how far its endpoints drift toward the graph's Gromov boundary. Using Busemann functions on delta-hyperbolic networks, we prove a closed-form upper bound on the operator's spectral norm: every signal loses a curvature-controlled fraction of its energy at each pass. The result …

I’m hyperfixated on this song and it’s got me all "GLORY TO ANARCHIST SPAIN! ¡VIVA LA ESPAÑA ANARQUISTA!".
I can’t stop listening to it on repeat because my autistic brain just latched onto it, LMAO!
https://www.youtube.com/watch?v=_Fbz2A2u1hs

Læs og græd (eller gru): https://dm.dk/forskerforum/aktuelt/2025/juni/skandalebyggeri-koster-forskerfyringer-paa-ku/
Det er uforståeligt for mig hvorfor KŸbenhavns Universitet skal betale for ekstraudgifter til et byggeri vi ikke selv ha…

Skandalebyggeri koster forskerfyringer på KU
Høje driftsomkostninger for den skandaleramte Niels Bohr Bygning og det nye Naturhistoriske Museum er den væsentligste årsag til, at SCIENCE-fakultetet på Københavns Universitet har et årligt strukturelt underskud på over 100 millioner kroner. Dekanen anser det for usandsynligt, at afskedigelser kan undgås.

The Hyperbolic Tangent as an Educational Tool for Teaching Variable Acceleration
Scott C. Scharlach
https://arxiv.org/abs/2505.11658 https://

The Hyperbolic Tangent as an Educational Tool for Teaching Variable Acceleration
This paper presents an approximate analytical solution to the Falling Astronaut Problem by means of the hyperbolic tangent, and it explores the educational opportunities presented by this technique. The author's previous paper presented a function for time in terms of position t(x) that modeled the motion of an astronaut as she falls from an arbitrary height to the surface of a spherical planet with no air resistance, but an exact analytical function for position in terms of time x(t) was not f…

Charged Scalar Field at Future Null Infinity via Nonlinear Hyperboloidal Evolution
Jo\~ao D. \'Alvares, Alex Va\~no-Vin\~uales
https://arxiv.org/abs/2506.15311

Charged Scalar Field at Future Null Infinity via Nonlinear Hyperboloidal Evolution
Quasinormal modes and power-law late-time decay tails of a charged scalar field in a charged black hole background have been studied, but never in the fully non-linear regime, as far as we know. In this paper, we study the dependence of these properties on the charges of scalar field and black hole. For the quasinormal modes, a fit of the spherical fundamental mode is shown for the purely uncharged case and compared to the charged one. We also see for the first time the transition from gravitat…

Direct visualization of visible-light hyperbolic plasmon polaritons in real space and time
Atreyie Ghosh, Calvin Raab, Joseph L. Spellberg, Aishani Mohan, Sarah B. King
https://arxiv.org/abs/2506.13719

Direct visualization of visible-light hyperbolic plasmon polaritons in real space and time
Hyperbolic materials support exotic polaritons with hyperbolic dispersion that enable subdiffraction focusing and enhanced light-matter interactions. Visible-frequency hyperbolic plasmon polaritons (HPPs) offer significant advantages over hyperbolic phonon polaritons, which operate in the infrared frequency range - namely lower losses and greater technological relevance. However, these HPPs remained experimentally inaccessible until the recent identification of molybdenum(IV) oxychloride (MoOCl…

I love it when my oversharing turns into me being hyperfixiated on the CNT-FAI in anarchist Spain from 1936 to 1939. Suddenly, I find myself lost in all the details of revolutionary syndicalism and anarchist ideas.
It feels like stumbling into a secret world where people actually tried to live without rulers or bosses. Every little detail just pulls me deeper into this fascinating moment in time.
GLORY TO ANARCHIST SPAIN! ¡VIVA LA ESPAÑA ANARQUISTA!

Simple Lyapunov spectrum of partially hyperbolic diffeomorphisms
Karina Marin, Davi Obata, Mauricio Poletti
https://arxiv.org/abs/2507.12715 https://

Simple Lyapunov spectrum of partially hyperbolic diffeomorphisms
We study the simplicity of the Lyapunov spectrum of partially hyperbolic diffeomorphisms. We prove that a class of volume-preserving partially hyperbolic diffeomorphisms is $C^r$-accumulated by $C^2$-open sets with simple spectrum. Also we prove that a class of partially hyperbolic maps has simple spectrum generically for the measures of maximal entropy. In order to prove these results, we give a criterion for simplicity of the Lyapunov spectrum in terms of periodic points homoclinically relate…