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Analytic Characterization of $t$-Quasicircles and Conformal Mappings onto $t$-Quasidisks
Xin Wei
https://arxiv.org/abs/2510.12281 https://arxiv.org/pdf/251…

Analytic Characterization of $t$-Quasicircles and Conformal Mappings onto $t$-Quasidisks
In this paper, we introduce a new class of mappings, termed $(ρ,t)$-quasisymmetric mappings, which generalizes the classical concept of quasisymmetric mappings. Using this broader class of mappings, we provide an analytic characterization of $t$-quasicircles. This result can be viewed as a $t$-quasisymmetric analogue of a classical theorem by Tukia and Väisälä \cite{TV}. Furthermore, we study conformal mappings from the unit disk $\mathbb{D}$ onto $t$-quasidisks and show that their boundary…

Enhancing the Quality of 3D Lunar Maps Using JAXA's Kaguya Imagery
Yumi Iwashita, Haakon Moe, Yang Cheng, Adnan Ansar, Georgios Georgakis, Adrian Stoica, Kazuto Nakashima, Ryo Kurazume, Jim Torresen
https://arxiv.org/abs/2510.11817

Enhancing the Quality of 3D Lunar Maps Using JAXA's Kaguya Imagery
As global efforts to explore the Moon intensify, the need for high-quality 3D lunar maps becomes increasingly critical-particularly for long-distance missions such as NASA's Endurance mission concept, in which a rover aims to traverse 2,000 km across the South Pole-Aitken basin. Kaguya TC (Terrain Camera) images, though globally available at 10 m/pixel, suffer from altitude inaccuracies caused by stereo matching errors and JPEG-based compression artifacts. This paper presents a method to improv…

🍆 A Hermetic, Transparent Soft Growing Vine Robot System for Pipe Inspection
#robots #machine

A Hermetic, Transparent Soft Growing Vine Robot System for Pipe Inspection
Rehabilitation of aging pipes requires accurate condition assessment and mapping far into the pipe interiors. Soft growing vine robot systems are particularly promising for navigating confined, sinuous paths such as in pipes, but are currently limited by complex subsystems and a lack of validation in real-world industrial settings. In this paper, we introduce the concept and implementation of a hermetic and transparent vine robot system for visual condition assessment and mapping within non-bra…

Transitivities of maps of generalized topological spaces
M. R. Ahmadi Zand, N. Baimani
https://arxiv.org/abs/2511.06241 https://arxiv.org/pdf/2511.06241 https://arxiv.org/html/2511.06241
arXiv:2511.06241v1 Announce Type: new
Abstract: In this work, we present several new findings regarding the concepts of orbit-transitivity, strict orbit-transitivity, $\omega$-transitivity, and $\mu$-open-set transitivity for self-maps on generalized topological spaces.
Let $(X,\mu)$ denote a generalized topological space. A point $x \in X$ is said to be \textit{quasi-$\mu$-isolated} if there exists a $\mu$-open set $U$ such that $x \in U$ and $i_\mu(U \setminus c_\mu(\{x\})) = \emptyset$. We prove that $x$ is a quasi-$\mu$-isolated point of $X$ precisely when there exists a $\mu$-dense subset $D$ of $X$ for which $x$ is a $\mu_D$-isolated point of $D$. Moreover, in the case where $X$ has no quasi-$\mu$-isolated points, we establish that a map $f: X \to X$ is orbit-transitive (or strictly orbit-transitive) if and only if it is $\omega$-transitive.
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A Tauberian approach to metric scaling limits of random discrete structures, with an application to random planar maps
William Fleurat
https://arxiv.org/abs/2510.05078 https://

A Tauberian approach to metric scaling limits of random discrete structures, with an application to random planar maps
We prove sandwich theorems and a Tauberian theorem in the space of compact metric measure spaces, endowed with the Gromov-Hausdorff-Prokhorov (GHP) topology. These results hold with respect to a close relative of Gromov's Lipschitz order. As a proof-of-concept of a general method to prove metric scaling limits of random discrete structures, we give an application to the theory of random planar maps: the Brownian sphere is the scaling limit in the GHP topology of irreducible quandrangulations. O…

Cognifying Education: Mapping AI's transformative role in emotional, creative, and collaborative learning
Mikael Gorsky, Ilya Levin
https://arxiv.org/abs/2509.25266 https://…

Cognifying Education: Mapping AI's transformative role in emotional, creative, and collaborative learning
Artificial intelligence (AI) is rapidly reshaping educational practice, challenging long held assumptions about teaching and learning. This article integrates conceptual perspectives from recent books (Genesis by Eric Schmidt, Henry Kissinger and Craig Mundie, CoIntelligence by Ethan Mollick, and The Inevitable by Kevin Kelly) with empirical insights from popular AI podcasts and Anthropic public releases. We examine seven key domains: emotional support, creativity, contextual understanding, stu…

Broncos take key step toward new stadium with submission of large-area review plan https://www.nytimes.com/athletic/6781214/2025/11/05/broncos-new-stadium-large-area-review-plan/

A review on the Parameter Space Concept and its use for crystal structure determination
Matthias Zschornak, Muthu Vallinayagam, Melanie Nentwich, Dirk C. Meyer, Karl Fischer
https://arxiv.org/abs/2510.02755

A review on the Parameter Space Concept and its use for crystal structure determination
We present a comprehensive review of the emerging crystal structure determination method Parameter Space Concept (PSC), which solves and refines either partial or complete crystal structures by mapping each experimental or theoretical observation as a geometric interpretation, bypassing the conventional Fourier inversion. The PSC utilizes only a few \xray (equivalently neutron) diffraction amplitudes or intensities and turns them into piecewise analytic hyper-surfaces, called isosurfaces, embed…

The Five Safes as a Privacy Context
James Bailie, Ruobin Gong
https://arxiv.org/abs/2510.05803 https://arxiv.org/pdf/2510.05803

The Five Safes as a Privacy Context
The Five Safes is a framework used by national statistical offices (NSO) for assessing and managing the disclosure risk of data sharing. This paper makes two points: Firstly, the Five Safes can be understood as a specialization of a broader concept $\unicode{x2013}$ contextual integrity $\unicode{x2013}$ to the situation of statistical dissemination by an NSO. We demonstrate this by mapping the five parameters of contextual integrity onto the five dimensions of the Five Safes. Secondly, the Fiv…

Integrating the enveloping technique with the expansion strategy to establish stability
Ziyad AlSharawi, Jose S. C\'anovas
https://arxiv.org/abs/2510.04538 https://

Integrating the enveloping technique with the expansion strategy to establish stability
In this paper, we focus on finding one-dimensional maps that detect global stability in multidimensional maps. We consider various local and global stability techniques in discrete-time dynamical systems and discuss their advantages and limitations. Specifically, we navigate through the embedding technique, the expansion strategy, the dominance condition technique, and the enveloping technique to establish a unifying approach to global stability. We introduce the concept of strong local asympto…