Tootfinder

On Thursday, the California Coastal Commission voted to approve a permit allowing the Diablo Canyon Power Plant, perched above Avila Beach of San Luis Obispo County,
to continue operating through at least 2030.
The controversial decision was conditioned on Pacific Gas & Electric (PG&E), the plant’s operator, agreeing to permanently conserve 4,000 acres of surrounding land from commercial or residential development.
The decision carries powerful consequences for the…

Diablo Canyon Clears Hurdle to Stay Open Until at Least 2030
The California Coastal Commission approves permit allowing state’s last nuclear power plant to continue operating past its 2025 shutdown deadline.

From amoebas to pluripotential theory on hybrid analytic spaces
Sebastien Boucksom
https://arxiv.org/abs/2510.10239 https://arxiv.org/pdf/2510.10239…

From amoebas to pluripotential theory on hybrid analytic spaces
These lecture notes are an introduction to the use of non-Archimedean geometry in the study of meromorphic degenerations of complex algebraic varieties. They provide a self-contained discussion of hybrid spaces, which fill in one-parameter degenerations with the associated non-Archimedean Berkovich space as a central fiber. The main focus is on the interplay between complex and non-Archimedean pluripotential theory, and on the relation between convergence of psh metrics and the associated Monge…

Designing Control Barrier Functions Using a Dynamic Backup Policy
Victor Freire, Marco M. Nicotra
https://arxiv.org/abs/2510.09810 https://arxiv.org/pdf/25…

Designing Control Barrier Functions Using a Dynamic Backup Policy
This paper presents a systematic approach to construct control barrier functions for nonlinear control affine systems subject to arbitrary state and input constraints. Taking inspiration from the reference governor literature, the proposed method defines a family of backup policies, parametrized by the equilibrium manifold of the system. The control barrier function is defined on the augmented state-and-reference space: given a state-reference pair, the approach quantifies the distance to const…

Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,\phi,X)$ Gravity
Ali I. Keskin, Mehmet Ya\c{s}ar, K. Kurt
https://arxiv.org/abs/2510.10220 https://

Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,ϕ,X)$ Gravity
In this work, we study early-time inflation within a class of $f(R, ϕ, X)$ gravity models under a constant-roll condition. Employing a generalized potential of the form $V(ϕ)^σ$, we derive expressions for the spectral index $n_s$ and tensor-to-scalar ratio $r$, demonstrating that the inflationary dynamics are primarily governed by the parameter $σ$ and the shape of the potential. At the upper limit of $n_s$, we obtain a de Sitter-like phase, while at the lower limit, the model transitions t…

On the construction of Hadamard states from Feynman propagators
Christopher J. Fewster, Alexander Strohmaier
https://arxiv.org/abs/2510.11492 https://arxiv…

On the construction of Hadamard states from Feynman propagators
The Wightman two-point function of any Hadamard state of a linear quantum field theory determines a corresponding Feynman propagator. Conversely, however, a Feynman propagator determines a state only if certain positivity conditions are fulfilled. We point out that the construction of a state from a Feynman propagator involves a slightly subtle point that we address and resolve. Starting from a recent generalisation of the Duistermaat-Hörmander theory of distinguished parametrices to normally …

Grand Egyptian Museum Finally Opens in Sight of the Pyramids After Decades of Setbacks https://www.goodnewsnetwork.org/grand-egyptian-museum-finally-opens-in-sight-of-the-pyramids-after-decades-of-setbacks/

Grand Egyptian Museum Finally Opens in Sight of the Pyramids After Decades of Setbacks
Fireworks and drone spectacles lit up the Saharan night above a gala of Egyptian elite, heads of state, and foreign dignitaries.

From points to complexes: a concept of unexpectedness for simplicial complexes
Thiago Holleben
https://arxiv.org/abs/2510.10884 https://arxiv.org/pdf/2510.…

From points to complexes: a concept of unexpectedness for simplicial complexes
In 2018, Cook, Harbourne, Migliore and Nagel introduced the concept of unexpected hypersurfaces, which connects the study of Lefschetz properties of artinian algebras defined by powers of linear forms, to a family of interpolation problems. In this paper, inspired by the theory of unexpected hypersurfaces, we introduce the concept of unexpected systems of parameters for squarefree monomial ideals. Similarly to the setting of points, we show that the existence of an unexpected system of paramete…

Eine neue Studie vergleicht die #Paarungsgewohnheiten von über 30 #Tierarten und zeigt: Mit rund 66 Prozent Vollgeschwistern gelten Menschen als überraschend #monogam – vergleichbar mit <…

Humans cuddle up to meerkats in the monogamy rankings
When it comes to monogamy, humans more closely resemble meerkats and beavers than our primate cousins.

Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 6: Impact of systematic uncertainties on the cosmological analysis
Collaboration, Blot, Tanidis, Ca\~nas-Herrera, Carrilho, Bonici, Camera, Cardone, Casas, Davini, Di Domizio, Farrens, Goh, Beauchamps, Ili\'c, Joudaki, Keil, Le Brun, Martinelli, Moretti, Pettorino, Pezzotta, Sakr, S\'anchez, Sciotti, Tutusaus, Ajani, Crocce, Fumagalli, Giocoli, Legrand, Lembo, Lesci, Girones, Nouri-Zonoz, Pamuk, Pourtsid…

Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 6: Impact of systematic uncertainties on the cosmological analysis
Extracting cosmological information from the Euclid galaxy survey will require modelling numerous systematic effects during the inference process. This implies varying a large number of nuisance parameters, which have to be marginalised over before reporting the constraints on the cosmological parameters. This is a delicate process, especially with such a large parameter space, which could result in biased cosmological results. In this work, we study the impact of different choices for modellin…

Parameterized crack modelling based on a localized non-intrusive reduced basis method
Margarita Chasapi
https://arxiv.org/abs/2510.10624 https://arxiv.org/…

Parameterized crack modelling based on a localized non-intrusive reduced basis method
This contribution presents a model order reduction strategy for fast parametric modelling of problems with cracks formulated on spline discretizations. In the context of damage detection, parametric reduced order models (ROMs) are well suited for fast computations by establishing an efficient offline/online split of the simulation process. The problems of interest focus on geometric parameters that describe the crack configuration and may pose challenges to constructing efficient ROMs. This wor…