Tootfinder

He hates stairs.
Trump UN escalator snafu: White House wants investigation
https://www.cnbc.com/2025/09/23/trump-un-ga-speech.html

A Bound on the Symplectic Systolic Ratio of Polytopes in Even-Dimensional Euclidean Space
Matthew Zediker
https://arxiv.org/abs/2509.19083 https://arxiv.or…

Non-Euclidean Enriched Contraction Theory for Monotone Operators and Monotone Dynamical Systems
Diego Deplano, Sergio Grammatico, Mauro Franceschelli
https://arxiv.org/abs/2506.17990

Non-Euclidean Enriched Contraction Theory for Monotone Operators and Monotone Dynamical Systems
We adopt an operator-theoretic perspective to analyze a class of nonlinear fixed-point iterations and discrete-time dynamical systems. Specifically, we study the Krasnoselskij iteration - at the heart of countless algorithmic schemes and underpinning the stability analysis of numerous dynamical models - by focusing on a non-Euclidean vector space equipped with the diagonally weighted supremum norm. By extending the state of the art, we introduce the notion of enriched weak contractivity, which …

«But the cancellation of an entire issue of an academic journal, which has not been previously reported, is a remarkable new development in a mounting list of examples of censorship of pro-Palestinian speech.»
This is just one more example of how the world is turning a blind eye to the genocide the Israeli state is perpetrating against the Palestinian people. It is, in every way, inconceivable (and yes, that word does mean what I think it means) that world leaders are able to defend th…

Learning Protein-Ligand Binding in Hyperbolic Space
Jianhui Wang, Wenyu Zhu, Bowen Gao, Xin Hong, Ya-Qin Zhang, Wei-Ying Ma, Yanyan Lan
https://arxiv.org/abs/2508.15480 https://…

Learning Protein-Ligand Binding in Hyperbolic Space
Protein-ligand binding prediction is central to virtual screening and affinity ranking, two fundamental tasks in drug discovery. While recent retrieval-based methods embed ligands and protein pockets into Euclidean space for similarity-based search, the geometry of Euclidean embeddings often fails to capture the hierarchical structure and fine-grained affinity variations intrinsic to molecular interactions. In this work, we propose HypSeek, a hyperbolic representation learning framework that em…

Supercyclic weighted composition operators on the space of smooth functions
J. Bes, C. Foster
https://arxiv.org/abs/2507.16425 https://

Supercyclic weighted composition operators on the space of smooth functions
A weighted composition operator on the space of scalar-valued smooth functions on an open set of d-dimensional Euclidean space is supercyclic if and only if it is weakly mixing, and it is strongly supercyclic if and only if it is mixing. Every mixing such operator is chaotic. In the one-dimensional case, it is supercyclic if and only if it is mixing and if and only if it is chaotic.

An Ambit Field Framework for the Full Panel of Day-ahead Electricity Prices
Thomas K. Kloster
https://arxiv.org/abs/2509.17236 https://arxiv.org/pdf/2509.17236 https://arxiv.org/html/2509.17236
arXiv:2509.17236v1 Announce Type: new
Abstract: This paper considers the often overlooked fact that electricity spot prices in individual European generation zones evolve as a high dimensional panel structure. A general continuous time framework is developed by formulating the panel as an ambit field indexed by a cylinder surface, where the cross sectional dimension is represented by a circle. This requires a treatment of ambit fields on manifolds, but the departure from Euclidean space allows for embedding intrinsic dependence structures into the index set in a flexible and parameter-free way, where the daily delivery periods have a canonical mapping onto the circle. The model is a natural space-time extension of volatility modulated L\'evy-driven Volterra processes, which have previously been studied in the context of energy markets, and the pricing of electricity derivatives turns out to be essentially as analytically tractable as in the null-spatial setting. The space-time framework extends the scope of possible derivatives to products written on individual delivery periods, where spreads between these constitute an interesting example. We establish useful formulas for the pricing of various derivatives along with a simulation scheme, and study specifications of the dependence structure in detail.
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The Alpha Group Tensorial Metric
Cleber Souza Correa, Thiago Braido Nogueira de Melo, Diogo Machado Cust\'odio
https://arxiv.org/abs/2507.16954 https://

The Alpha Group Tensorial Metric
The Alpha Group is an abstract geometry group in $\mathbb{R}^4$. The way it was conceived allows a new interpretation of the structure of hypercomplex space, with a new geometry and spatial topology, and a meaning for the geometric representation of $\mathbb{R}^4$ space to infinity. Therefore, it has been described as the tensorial metric formula in the Alpha Group. It will be shown that the Riemannian and Euclidean distance metrics between infinitesimal surfaces are represented as special case…

Distributed Detection of Adversarial Attacks in Multi-Agent Reinforcement Learning with Continuous Action Space
Kiarash Kazari, Ezzeldin Shereen, Gy\"orgy D\'an
https://arxiv.org/abs/2508.15764

Distributed Detection of Adversarial Attacks in Multi-Agent Reinforcement Learning with Continuous Action Space
We address the problem of detecting adversarial attacks against cooperative multi-agent reinforcement learning with continuous action space. We propose a decentralized detector that relies solely on the local observations of the agents and makes use of a statistical characterization of the normal behavior of observable agents. The proposed detector utilizes deep neural networks to approximate the normal behavior of agents as parametric multivariate Gaussian distributions. Based on the predicted…

Symmetric Spaces with Rectangular Unit Lattices, Revisited
Jost-Hinrich Eschenburg, Ernst Heintze, Peter Quast
https://arxiv.org/abs/2509.16166 https://arx…

Symmetric Spaces with Rectangular Unit Lattices, Revisited
We give a new proof of a theorem of Loos stating that a Riemannian symmetric space X with rectangular unit lattice is a symmetric R-space. For this we construct explicitly an isometric extrinsically symmetric embedding of X in a Euclidean space which reveals X as a standardly embedded symmetric R-space. We further determine the root systems, Euclidean root data, fundamental groups and eigenvalues of the Laplacian of symmetric spaces with rectangular unit lattice in a direct way.