Tootfinder

Happy Constitution Day Denmark!
A short history of Greenland, in six maps
https://www.economist.com/graphic-detail/2025/06/04/a-short-history-of-greenland-in-six-maps?giftId=eed38d68-7aa9-468b-9b2c-32bfca227c11&utm_campaign=gifted_article

Simulation of MAPS and a MAPS-based Inner Tracker for the Super Tau-Charm Facility
Ruiyang Zhang, Dongwei Xuan, Jiajun Qin, Lei Zhao, Le Xiao, Xiangming Sun, Lailin Xu, Jianbei Liu
https://arxiv.org/abs/2506.03712

Simulation of MAPS and a MAPS-based Inner Tracker for the Super Tau-Charm Facility
Monolithic Active Pixel Sensors (MAPS) are a promising detector candidate for the inner tracker of the Super Tau-Charm Facility (STCF). To evaluate the performance of MAPS and the MAPS-based inner tracker, a dedicated simulation workflow has been developed, offering essential insights for detector design and optimization. The intrinsic characteristics of MAPS, designed using several fabrication processes and pixel geometries, were investigated through a combination of Technology Computer Aide…

A Scalable Machine Learning Pipeline for Building Footprint Detection in Historical Maps
Annemarie McCarthy
https://arxiv.org/abs/2508.03564 https://arxiv.…

A Scalable Machine Learning Pipeline for Building Footprint Detection in Historical Maps
Historical maps offer a valuable lens through which to study past landscapes and settlement patterns. While prior research has leveraged machine learning based techniques to extract building footprints from historical maps, such approaches have largely focused on urban areas and tend to be computationally intensive. This presents a challenge for research questions requiring analysis across extensive rural regions, such as verifying historical census data or locating abandoned settlements. In th…

Hey Google,
Now We Have This New Private, Offline Alternative:
A maps app that doesn't track you but lets you record your path on the map
https://news.itsfoss.com/comaps-launch/

Look Google, We Have This New Private, Offline Alternative Now
A maps app that doesn't track you but lets you track your path on the map. A pathbreaking open source alternative.

"Die völlige Bescheuertheit von Google Maps" [und anderen Karten-Anbietern] analysiert von @…: https://schmalenstroer.net/blog/2025/0

🎣 New study maps the fishmeal factories that supply the world’s fish farms
https://news.mongabay.com/2025/05/new-study-maps-the-fishmeal-factories-that-supply-the-worlds-fish-farms/

New study maps the fishmeal factories that supply the world’s fish farms
Fish farms boomed globally in recent decades — more than half the world’s seafood now comes from aquaculture — but it’s not a boom all environmentalists support. One argument that critics of industrial aquaculture make is that the fishmeal and fish oil used to make the feed for popular carnivorous species like salmon is not sustainably […]

Identifying Alzheimer's Disease Prediction Strategies of Convolutional Neural Network Classifiers using R2* Maps and Spectral Clustering
Christian Tinauer, Maximilian Sackl, Stefan Ropele, Christian Langkammer
https://arxiv.org/abs/2506.03890

Identifying Alzheimer's Disease Prediction Strategies of Convolutional Neural Network Classifiers using R2* Maps and Spectral Clustering
Deep learning models have shown strong performance in classifying Alzheimer's disease (AD) from R2* maps, but their decision-making remains opaque, raising concerns about interpretability. Previous studies suggest biases in model decisions, necessitating further analysis. This study uses Layer-wise Relevance Propagation (LRP) and spectral clustering to explore classifier decision strategies across preprocessing and training configurations using R2* maps. We trained a 3D convolutional neural net…

A study on Heisenberg-Weyl linear maps
Saikat Patra, Bihalan Bhattacharya
https://arxiv.org/abs/2506.05097 https://arxiv.org/pdf/2506…

A study on Heisenberg-Weyl linear maps
Heisenberg-Weyl operators provide a Hermitian generalization of Pauli operators in higher dimensions. Positive maps arising from Heisenberg-Weyl operators have been studied along with several algebraic and spectral properties of Heisenberg-Weyl observables. This allows to generalize the study of Pauli type maps in higher dimesional algebra of operators.

Asymmetries in the LMC velocity maps
Marie Sch\"olch (Departament de F\'isica Qu\`antica i Astrof\'isica, Institut d'Estudis Espacials de Catalunya), \'Oscar Jim\'enez-Arranz (Lund Observatory, Division of Astrophysics, Lund University), Merc\`e Romero-G\'omez (Departament de F\'isica Qu\`antica i Astrof\'isica, Institut d'Estudis Espacials de Catalunya), Xavier Luri (Departament de F\'isica Qu\`antica i Astrof\'isica, Institut d'Est…

Asymmetries in the LMC velocity maps
The analysis of precise Gaia DR3 astrometry in the LMC region has revealed asymmetric patterns in the bar quadrupole and the disc outskirts of the LMC in-plane velocity maps. We aim to quantify the asymmetries detected in the LMC radial and residual tangential velocity maps, and determine whether they are generated naturally due to the LMC's interaction with the SMC. We analyse the velocity maps of different simulations from the KRATOS suite of N-body simulations of the LMC-SMC-MW system, propo…

Topology of boundary special generic maps into Euclidean spaces
Koki Iwakura
https://arxiv.org/abs/2508.01629 https://arxiv.org/pdf/2508.01629

Topology of boundary special generic maps into Euclidean spaces
In this paper, we study global properties of boundary special generic maps. A boundary special generic map is defined as a submersion of a compact connected manifold with non-empty boundary into Euclidean spaces, in which all singular points of its restriction to the boundary are boundary definite fold points. In certain dimensions, we characterize the manifolds with boundary that admit such maps up to diffeomorphism.

This https://arxiv.org/abs/2504.09567 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Conditional Independence Test Based on Transport Maps
Testing conditional independence between two random vectors given a third is a fundamental and challenging problem in statistics, particularly in multivariate nonparametric settings due to the complexity of conditional structures. We propose a innovative framework for testing conditional independence using transport maps. At the population level, we show that two well-defined transport maps can transform the conditional independence test into an unconditional independence test, this substantial…

Simultaneous linearization and centralizers of parabolic self-maps I: zero hyperbolic step
Manuel D. Contreras, Santiago D\'iaz-Madrigal, Pavel Gumenyuk
https://arxiv.org/abs/2508.02809

Simultaneous linearization and centralizers of parabolic self-maps I: zero hyperbolic step
Let $φ:\mathbb D \to \mathbb D$ be a parabolic self-map of the unit disc $\mathbb D$ having zero hyperbolic step. We study holomorphic self-maps of $\mathbb D$ commuting with $φ$. In particular, we answer a question from Gentili and Vlacci (1994) by proving that $ψ\in\mathsf{Hol(\mathbb D,\mathbb D)}$ commutes with $φ$ if and only if the two self-maps have the same Denjoy-Wolff point and $ψ$ is a pseudo-iterate of $φ$ in the sense of Cowen. Moreover, we show that the centralizer of $φ$, …

This https://arxiv.org/abs/2407.13448 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Pure maps are strict monomorphisms
We prove that $i)$ if $\mathcal{A}$ is $λ$-accessible and it is axiomatizable in (finitary) coherent logic then $λ$-pure maps are strict monomorphisms and $ii)$ if there is a proper class of strongly compact cardinals and $\mathcal{A}$ is $λ$-accessible then for some $μ\vartriangleright λ$ every $μ$-pure map is a strict monomorphism.

EUCLID: Photometric redshift calibration with self-organising maps
W. Roster, A. H. Wright, H. Hildebrandt, R. Reischke, O. Ilbert, W. d'Assignies D., M. Manera, M. Bolzonella, D. C. Masters, S. Paltani, W. G. Hartley, Y. Kang, H. Hoekstra, B. Altieri, A. Amara, S. Andreon, N. Auricchio, C. Baccigalupi, M. Baldi, A. Balestra, S. Bardelli, P. Battaglia, R. Bender, A. Biviano, E. Branchini, M. Brescia, S. Camera, G. Ca\~nas-Herrera, V. Capobianco, C. Carbone, V. F. Cardone, J. Carret…

EUCLID: Photometric redshift calibration with self-organising maps
The Euclid survey aims to trace the evolution of cosmic structures up to redshift $z$ $\sim$ 3 and beyond. Its success depends critically on obtaining highly accurate mean redshifts for ensembles of galaxies $n(z)$ in all tomographic bins, essential for deriving robust cosmological constraints. However, photometric redshifts (photo-$z$s) suffer from systematic biases arising from various sources of uncertainty. To address these challenges, we utilised self-organising maps (SOMs) with mock sampl…

On the Dynamics of Invariant Graphs for Dissipative Twist Maps
Qi Li, Lin Wang
https://arxiv.org/abs/2506.04938 https://arxiv.org/pdf…

On the Dynamics of Invariant Graphs for Dissipative Twist Maps
For two-parameter families of dissipative twist maps, we study the dynamics of invariant graphs and the thresholds of their existence and breakdown. We obtain: (1) For arbitrary $C^1$-small perturbations, invariant graphs with prescribed rotation numbers can be realized through parameter adjustments; (2) The existence of almost sharp perturbations that trigger complete destruction of all invariant graphs; (3) When the perturbation lacks $C^1$-regularity, Lipschitz invariant graphs with non-diff…

celegans_interactomes: C. elegans interactomes (2009)
Ten networks of protein-protein interactions in Caenorhabditis elegans (nematode), from yeast two-hybrid experiments, biological process maps, literature curation, orthologous interactions, and genetic interactions. The WI8 network combines WI2004, WI2007 and BPmaps, while the Integrated Network combines data from all sources.
This network has 759 nodes and 1593 edges.
Tags: Biological, Protein interactions, Unweighted…

spotted the Apple Maps car, downtown.

Hochul vows to explore 'every option' to redraw NY House maps (Caroline Vakil/The Hill)
https://thehill.com/homenews/5435101-new-york-redistricting-texas-hochul/
http://www.memeorandum.com/250804/p71#a250804p71

Even though I've been there quite a few times, I never realized that large swathes of the UK's Peak District look like a series of abstract paintings in satellite view...
Are those traces of turf harvesting?
#MapSurfing #PeakDistrict

I think I'm nearly finished adding all fire hydrants 🚒 💦 in #Unterkirnach ⛰️ 🌲 via @…! I found 37 or so, so far.
#OpenStreetMap

Estes gajos acham que em Portugal é ilegal mijar no mar.
Desde quando?
https://mapsontheweb.zoom-maps.com/posts/laws/weird-laws-in-europe

Weird laws in Europe
Weird laws in Europe

This https://arxiv.org/abs/2409.08429 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

The Atacama Cosmology Telescope: Systematic Transient Search of Single Observation Maps
We conduct a systematic search for astrophysical transients using data from the Atacama Cosmology Telescope (ACT). The data were taken from 2017 to 2022 in three frequency bands spanning 77 GHz to 277 GHz. In this paper we present a pipeline for transient detection using single observation maps where each pixel of a map contains one observation with an integration time of approximately four minutes. We detect 34 transient events at 27 unique locations. All but two of the transients are associat…

Maps preserving the idempotency of Jordan products
Tatjana Petek, Gordana Radi\'c
https://arxiv.org/abs/2506.04412 https://arxiv.…

Maps preserving the idempotency of Jordan products
Let B(X) be the algebra of all bounded linear operators on a complex Banach space X of dimension at least three. For an arbitrary nonzero complex number t we determine the form of mappings f: B(X)-->B(X) with sufficiently large range such that t(AB+BA) is idempotent if and only if t(f(A)f(B)+f(B)f(A)) is idempotent, for all A, B in B(X). Note that f is not assumed to be linear or additive.

Embedding a Praeger-Xu graph into a surface
Zhaochen Ding, Zheng Guo, Luyi Liu
https://arxiv.org/abs/2507.01716 https://arxiv.org/pdf…

Embedding a Praeger-Xu graph into a surface
Rotary maps (orientably regular maps) are highly symmetric graph embeddings on orientable surfaces. This paper classifies all rotary maps whose underlying graphs are Praeger-Xu graphs, denoted $\operatorname{C}(p,r,s)$, for any odd prime $p$ that does not divide $r$. Our main result establishes a one-to-one correspondence between the isomorphism classes of these maps and the multiplicity-free representations of the dihedral group $\operatorname{D}_{2r}$ over the finite field $\mathbb{F}_p$. Thi…

Semantic Subtyping for Maps in Erlang
Erdem Yildirim, Albert Schimpf, Stefan Wehr, Annette Bieniusa
https://arxiv.org/abs/2508.00482 https://arxiv.org/pdf/…

Semantic Subtyping for Maps in Erlang
In this paper we will construct a set-theoretic model of types featuring type variables, base types, set-theoretic types and map types. Syntax of map types spans all the map types available in Erlang. The model of types is used to define a semantic subtyping relation based on set containment. The novelty of this work is the definition of subtyping over parameteric map types.

De Russen
Google Maps can’t explain why it falsely labeled German autobahns as closed - Ars Technica
https://arstechnica.com/tech-policy/2025/05/google-maps-cant-explain-why-it-falsely-labeled-german-aut…

I highly suggest trying out Here’s maps app (WeGo). It’s very well designed and privacy friendly, because it’s European! #buyeuropean

I highly suggest trying out Here’s maps app (WeGo). It’s very well designed and privacy friendly, because it’s European! #buyeuropean

Hearing a lot about Texas redistricting, and am surprised that only eight US states have an independent commission for redistricting.
https://redistricting.lls.edu/national-overview/

Existence of minimal maps of degree one in $W^{\frac1p,p}(\mathbb S^1,\mathbb S^1)$ for $p \in [p',2]$, where $p' \approx 1.13924$
Tomasz Kostrzewa, Katarzyna Mazowiecka
https://arxiv.org/abs/2508.00529

Existence of minimal maps of degree one in $W^{\frac1p,p}(\mathbb S^1,\mathbb S^1)$ for $p \in [p',2]$, where $p' \approx 1.13924$
In this note, we show how the results of Mazowiecka--Schikorra, combined with those of Bourgain--Brezis--Mironescu, imply the existence of minimal maps of degree one in $ W^{\frac{1}{p},p}(\mathbb{S}^1,\mathbb{S}^1) $ for $ p \in [p', 2] $, where $ p' \approx 1.13924 $. This provides an affirmative answer in this range to a question posed by Mironescu and Brezis--Mironescu. In order to do so, we complement the results of Mazowiecka--Schikorra by extending them to the case $ n = 1 $ and $ 1 < p …

COSMOS-Web: Estimating Physical Parameters of Galaxies Using Self-Organizing Maps
Fatemeh Abedini, Ghassem Gozaliasl, Akram Hasani Zonoozi, Atousa Kalantari, Maarit Korpi-Lagg, Olivier Ilbert, Hollis B. Akins, Natalie Allen, Rafael C. Arango-Toro, Caitlin M. Casey, Nicole E. Drakos, Andreas L. Faisst, Carter Flayhart, Maximilien Franco, Santosh Harish, Hossein Hatamnia, Jeyhan S. Kartaltepe, Ali Ahmad Khostovan, Anton M. Koekemoer, Vasily Kokorev, Rebecca L. Larson, Gavin Leroy, Daizho…

COSMOS-Web: Estimating Physical Parameters of Galaxies Using Self-Organizing Maps
The COSMOS-Web survey, with its unparalleled combination of multiband data -- particularly near-infrared imaging from JWST's NIRCam (F115W, F150W, F277W, and F444W), provides a transformative dataset reaching down to approximately 28th magnitude (F444W) for studying galaxy evolution. In this work, we employ Self-Organizing Maps (SOMs), an unsupervised machine learning method, to estimate key physical parameters of galaxies, redshift, stellar mass, star formation rate (SFR), specific SFR (sSFR),…

Google Maps mit neuen Funktionen für nachhaltigeren Verkehr
Google Maps hat ein Update erhalten, mit dem es Nutzern in Europa einfacher gemacht werden soll, nachhaltige Verkehrsmittel zu verwenden. 
…

Quantum Dynamics and Information Measures in PT and Anti-PT-Symmetric Systems
Amir Ahmadi, Roozbeh H. Asgari, Javad T. Firouzjaee
https://arxiv.org/abs/2508.03169 https://

Quantum Dynamics and Information Measures in PT and Anti-PT-Symmetric Systems
In this study, we investigate qubit dynamics under PT and Anti-PT-symmetric non-Hermitian Hamiltonians, focusing on phase evolution, decoherence, quantum speed limits (QSL), and Rényi entanglement entropies. Using similarity transformations and Dyson maps, we analyze the reduced density matrix evolution in bosonic environments. Anti-PT-symmetric systems show enhanced robustness against decoherence, with slower entropy growth and longer coherence times compared to PT-symmetric counterparts. QSL…

This https://arxiv.org/abs/2406.17408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Higher Gaussian maps on the hyperelliptic locus and second fundamental form
In this paper we study higher even Gaussian maps of the canonical bundle on hyperelliptic curves and we determine their rank, giving explicit descriptions of their kernels. Then we use this descriptions to investigate the hyperelliptic Torelli map $j_h$ and its second fundamental form. We study isotropic subspaces of the tangent space $T_{{\mathcal H}_g, [C]}$ to the moduli space ${\mathcal H}_g$ of hyperelliptic curves of genus $g$ at a point $[C]$, with respect to the second fundamental form …

Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
Frederik vom Ende, Dariusz Chru\'sci\'nski, Gen Kimura, Paolo Muratore-Ginanneschi
https://arxiv.org/abs/2506.02145

Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity is necessary for this inequality to hold in general. Moreover, we use this to infer a similar bound for generators of one-parameter semigroups of 2-positive trace-preserving maps. With this approach we generalize known results for completely positive trace-preserving dynamics while providing a significantly simpler pro…

"I want to look at Mars missions which never happened. Over the last 75 years there have been many ideas about missions to Mars, and I want to explore some of them that didn't fly. I'm a cartographer so the focus is on maps of mission plans, not technology"
-- @…

Maximal stretch and Lipschitz maps on Riemannian manifolds of negative curvature
Xian Dai, Gerhard Knieper
https://arxiv.org/abs/2507.02617 https://…

Maximal stretch and Lipschitz maps on Riemannian manifolds of negative curvature
In his seminal work on Teichmüller spaces (\cite{Th98}), Thurston introduced the maximal stretch for a pair of hyperbolic metrics on a closed surface of genus $\geq 2$ and showed that the logarithm of this quantity induces an asymmetric metric in the Teichmüller space. He also showed that the subset of the surface on which the maximal stretch is attained is a geodesic lamination. In this paper, we define the maximal stretch analogously for closed manifolds equipped with Riemannian metrics of …

Missouri Republicans Consider Joining Texas to Redraw House Maps (Bloomberg)
https://www.bloomberg.com/news/articles/2025-08-05/missouri-republicans-weigh-joining-texas-in-house-redistricting
http://www.memeorandum.com/250804/p123#a250804p123

Hat schon jemand etwas zu Fährzeiten in Termoli herausgefunden? #tcrno11cap2 ist dorthin gefahren. Laut Google Maps besteht dort eine Verbindung nach Kroatien. Ich hab aber noch keine Infos zu Abfahrtszeiten gefunden.
#TCRNo11

Big thrill today, saw two humpbacks breaching by Bowen Island, about here: https://maps.app.goo.gl/Ly9AteWe1JHN7SyX6
Wonderful creatures and so obviously having fun.

Generation of Indoor Open Street Maps for Robot Navigation from CAD Files
Jiajie Zhang, Shenrui Wu, Xu Ma, S\"oren Schwertfeger
https://arxiv.org/abs/2507.00552

Generation of Indoor Open Street Maps for Robot Navigation from CAD Files
The deployment of autonomous mobile robots is predicated on the availability of environmental maps, yet conventional generation via SLAM (Simultaneous Localization and Mapping) suffers from significant limitations in time, labor, and robustness, particularly in dynamic, large-scale indoor environments where map obsolescence can lead to critical localization failures. To address these challenges, this paper presents a complete and automated system for converting architectural Computer-Aided Desi…

This https://arxiv.org/abs/2005.10529 has been replaced.
link: https://scholar.google.com/scholar?q=a

Boundary maps and reducibility for cocycles into the isometries of CAT(0)-spaces
Let $Γ$ be a discrete countable group acting isometrically on a measurable field $\mathbf{X}$ of CAT(0)-spaces of finite telescopic dimension over some ergodic standard Borel probability $Γ$-space $(Ω,μ)$. If $\mathbf{X}$ does not admit any invariant Euclidean subfield, we prove that the measurable field $\widehat{\mathbf{X}}$ extended to a $Γ$-boundary admits an invariant section. In the case of constant fields this shows the existence of Furstenberg maps for measurable cocycles, extendin…

This https://arxiv.org/abs/2408.08689 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The splitting of the de Rham cohomology of soft function algebras is multiplicative
Let $A$ be a real soft function algebra. In arXiv:2208.11431 we have obtained a canonical splitting $\mathrm{H}^* (Ω^\bullet _{A|\mathrm{R}}) \cong \mathrm{H} ^* (X,\mathrm{R})\oplus \text{(something)}$ via the canonical maps $Λ_A:\mathrm{H} ^* (X,\mathrm{R})\to\mathrm{H} ^* (Ω^\bullet _{A|\mathrm{R}})$ and $Ψ_A:\mathrm{H} ^* (Ω^\bullet _{A|\mathrm{R}})\to\mathrm{H} ^* (X,\mathrm{R})$. In this paper we prove that these maps are multiplicative.

🧲 Ultra-high-resolution MRI maps brain fibers and cells with near-micron precision
#brain

Ultra-high-resolution MRI maps brain fibers and cells with near-micron precision
A scientific team supported in part by the National Institutes of Health (NIH) has developed a new, ultra-high-resolution brain imaging system that can reconstruct microscopic brain structures that are disrupted in neurological and neuropsychiatric brain disorders. The new system is a significant advance over conventional magnetic resonance imaging (MRI) scanners that cannot visualize these tiny but clinically important structures.

Estimating Bolometric Luminosities of Type 1 Quasars with Self-Organizing Maps
Jie Chen, Linhua Jiang, Shengxiu Sun, Zijian Zhang, Mouyuan Sun
https://arxiv.org/abs/2506.04329

Estimating Bolometric Luminosities of Type 1 Quasars with Self-Organizing Maps
We present a new method to calculate bolometric luminosities for unobscured, type 1 quasars with multi-band photometric data. Bolometric luminosity is a fundamental property to understand quasars and it is commonly estimated from monochromatic luminosities using bolometric corrections that often neglect quasar SED diversity. We take advantage of the fact that most quasars now have multi-band observations from UV to mid-IR, and construct SEDs for a well-defined sample of SDSS quasars at $0.5\leq…

Uh-huh, OK, makes sense, hm... that the heck, Germans and a few others? But wait... what's that? What?! Now that's just plain weird, Denmark! What are you thinking?
https://mapsontheweb.zoom-maps.com/posts/education/grading-systems-in-european-s…

Grading systems in European schools
Grading systems in European schools

"AI-enhanced maps reveal hidden streams for restoration"
#AI #ArtificialIntelligence #Environment

AI-enhanced maps reveal hidden streams for restoration
A dataset unveiled today more than doubles the documented stream miles in the Chesapeake Bay Watershed, elevating the total from approximately 150,000 to nearly 350,000 miles. The Hyper-Resolution Hydrography Data used to generate the new stream maps stems from a collaboration between the University of Maryland, Baltimore County (UMBC), the Environmental Protection Agency's Chesapeake Bay Program (CBP), and the Chesapeake Conservancy (CC), including UMBC alumni at CBP and CC.

🇺🇦 #NowPlaying on KEXP's #MiddayShow
Yeah Yeah Yeahs:
🎵 Maps
#YeahYeahYeahs
https://gsix.bandcamp.com/track/yeah-yeah-yeahs-maps-gsix-remix
https://open.spotify.com/track/0DERIzaqv9rIs7DXETrp76

On quantum ergodicity for higher dimensional cat maps modulo prime powers
Subham Bhakta, Igor E. Shparlinski
https://arxiv.org/abs/2507.00325 https://

On quantum ergodicity for higher dimensional cat maps modulo prime powers
A discrete model of quantum ergodicity of linear maps generated by symplectic matrices $A \in \mathrm{Sp}(2d,\mathbb{Z})$ modulo an integer $N\ge 1$, has been studied for $d=1$ and almost all $N$ by P. Kurlberg and Z. Rudnick (2001). Their result has been strengthened by J. Bourgain (2005) and subsequently by A. Ostafe, I. E. Shparlinski, and J. F. Voloch (2023). For arbitrary $d$ this has been studied by P. Kurlberg, A. Ostafe, Z. Rudnick and I. E. Shparlinski (2024). The corresponding equidis…

This https://arxiv.org/abs/2407.13859 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Indecomposable continua for unbounded itineraries of exponential maps
We study the dynamics of the exponential maps $\E: \C \longrightarrow \C$ defined by $\E(z) = λe^z$, where $λ> \frac{1}{e}$. We prove that for itineraries of a certain form, the set of all points sharing the given itinerary, together with the point at infinity, is an indecomposable continuum in the Riemann sphere. These itineraries contain infinitely many blocks of zeros whose lengths increase, and they may be unbounded. We prove that in every such continuum, there exists exactly one point wh…

Beamformed 360{\deg} Sound Maps: U-Net-Driven Acoustic Source Segmentation and Localization
Belman Jahir Rodriguez, Sergio F. Chevtchenko, Marcelo Herrera Martinez, Yeshwant Bethy, Saeed Afshar
https://arxiv.org/abs/2508.00307

Beamformed 360° Sound Maps: U-Net-Driven Acoustic Source Segmentation and Localization
We introduce a U-net model for 360° acoustic source localization formulated as a spherical semantic segmentation task. Rather than regressing discrete direction-of-arrival (DoA) angles, our model segments beamformed audio maps (azimuth and elevation) into regions of active sound presence. Using delay-and-sum (DAS) beamforming on a custom 24-microphone array, we generate signals aligned with drone GPS telemetry to create binary supervision masks. A modified U-Net, trained on frequency-domain re…

sooooo geil: 😍

Accurate grain boundary plane distributions for textured microstructures from stereological analysis of orthogonal two-dimensional electron backscatter diffraction orientation maps
Martin Folwarczny, Ao Li, Rushvi Shah, Aaron Chote, Alexandra C. Austin, Yimin Zhu, Gregory S. Rohrer, Michael A. Jackson, Souhardh Kotakadi, Katharina Marquardt
https://

Accurate grain boundary plane distributions for textured microstructures from stereological analysis of orthogonal two-dimensional electron backscatter diffraction orientation maps
We present a method for obtaining qualitatively accurate grain boundary plane distributions (GBPD) for textured microstructures using a stereological calculation applied to two-dimensional electron backscatter diffraction (EBSD) orientation maps. Stereology, applied to 2D EBSD orientation maps, is currently the fastest method of obtaining GBPDs. Existing stereological methods are not directly applicable to textured microstructures because of the biased viewing perspectives for different grain b…

Norming Sets for Tensor and Polynomial Sketching
Yifan Zhang, Joe Kileel
https://arxiv.org/abs/2506.05174 https://arxiv.org/pdf/2506.…

Norming Sets for Tensor and Polynomial Sketching
This paper develops the sketching (i.e., randomized dimension reduction) theory for real algebraic varieties and images of polynomial maps, including, e.g., the set of low rank tensors and tensor networks. Through the lens of norming sets, we provide a framework for controlling the sketching dimension for \textit{any} sketch operator used to embed said sets, including sub-Gaussian, fast Johnson-Lindenstrauss, and tensor structured sketch operators. Leveraging norming set theory, we propose a ne…

This https://arxiv.org/abs/2506.02120 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csNE_…

Random-key genetic algorithms
A random-key genetic algorithm is an evolutionary metaheuristic for discrete and global optimization. Each solution is encoded as a vector of N random keys, where a random key is a real number randomly generated in the continuous interval [0, 1). A decoder maps each vector of random keys to a solution of the optimization problem being solved and computes its cost. The benefit of this approach is that all genetic operators and transformations can be maintained within the unitary hypercube, regar…

Meine liebsten OpenStreetMap-Angebote
* #Mapy - fast wie Google Maps (mit Kommentare, Routen, Umgebung) https://mapy.com/de/zakladni?source=osm&a…

On indecomposable involutive solutions to the Yang-Baxter equation whose squaring map is a $p$-cycle
Marco Castelli, Arpan Kanrar
https://arxiv.org/abs/2508.01613 https://

On indecomposable involutive solutions to the Yang-Baxter equation whose squaring map is a $p$-cycle
The pioneering work of Rump, which proved Gateva-Ivanova's conjecture concerning the decomposability of square-free solutions to the Yang-Baxter equation, significantly motivated further research into the associated squaring map $T$. This line of inquiry has yielded numerous decomposability theorems based on the underlying structure of $T$. Two seminal questions, posed by Ramírez and Vendramin, ask about the existence of certain indecomposable involutive solutions whose squaring maps are trans…

A Pre-trained Framework for Multilingual Brain Decoding Using Non-invasive Recordings
Yi Guo, Yihang Dong, Michael Kwok-Po Ng, Shuqiang Wang
https://arxiv.org/abs/2506.03214

A Pre-trained Framework for Multilingual Brain Decoding Using Non-invasive Recordings
Brain-computer interfaces (BCIs) with speech decoding from brain recordings have broad application potential in fields such as clinical rehabilitation and cognitive neuroscience. However, current decoding methods remain limited to single-language, single-subject, and single neuroimaging modality settings, restricting their clinical applicability and generalizability. Here we propose a joint multilingual, multi-subject and multimodal decoding framework. It maps diverse brain recordings into a un…

Rescaling of unconditional Schauder frames in Hilbert spaces and completely bounded maps
Anton Tselishchev
https://arxiv.org/abs/2508.02802 https://arxiv.o…

Rescaling of unconditional Schauder frames in Hilbert spaces and completely bounded maps
We prove that if every element $u$ in a Hilbert space $H$ admits a representation as unconditionally convergent series $$u=\sum_{k=1}^\infty \langle u, y_k\rangle x_k,$$ then there exist nonzero scalars $\{α_k\}_{k=1}^\infty$ such that both sequences $\{α_k x_k\}_{k=1}^\infty$ and $\{\overlineα_k^{-1}y_k\}_{k=1}^\infty$ are frames. Our result has the following equivalent reformulation: if $Φ:\ell^\infty\to B(H)$ is a bounded linear map such that for every element of the unit vector basis $e…

Mapping Innovation Networks: A Network-Based Approach to Actor Heterogeneity in National Innovation Systems
Dawoon Jeong, Taewon Kang, Saerom Si, Sangnam Lee, Wonsub Eum
https://arxiv.org/abs/2508.03498

Mapping Innovation Networks: A Network-Based Approach to Actor Heterogeneity in National Innovation Systems
The Triple Helix model has provided a foundational framework for analyzing National Innovation Systems by highlighting the roles of universities, industries, and government research institutes. However, increasing heterogeneity within these actor groups limits the explanatory power of typological approaches. This study introduces a capability-based network methodology that maps the structural relationships among innovation actors based on the similarity of their research and development (R&D) c…

Provably convergent stochastic fixed-point algorithm for free-support Wasserstein barycenter of continuous non-parametric measures
Zeyi Chen, Ariel Neufeld, Qikun Xiang
https://arxiv.org/abs/2505.24384

Provably convergent stochastic fixed-point algorithm for free-support Wasserstein barycenter of continuous non-parametric measures
We propose a provably convergent algorithm for approximating the 2-Wasserstein barycenter of continuous non-parametric probability measures. Our algorithm is inspired by the fixed-point iterative scheme of Álvarez-Esteban et al. (2016) whose convergence to the 2-Wasserstein barycenter relies on obtaining exact optimal transport (OT) maps. However, typically in practice, OT maps are only approximately computed and exact computation of OT maps between continuous probability measures is only trac…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[2/4]:
- Policy Maps: Tools for Guiding the Unbounded Space of LLM Behaviors
Michelle S. Lam, Fred Hohman, Dominik Moritz, Jeffrey P. Bigham, Kenneth Holstein, Mary Beth Kery

Facial Appearance Capture at Home with Patch-Level Reflectance Prior
Yuxuan Han, Junfeng Lyu, Kuan Sheng, Minghao Que, Qixuan Zhang, Lan Xu, Feng Xu
https://arxiv.org/abs/2506.03478

Facial Appearance Capture at Home with Patch-Level Reflectance Prior
Existing facial appearance capture methods can reconstruct plausible facial reflectance from smartphone-recorded videos. However, the reconstruction quality is still far behind the ones based on studio recordings. This paper fills the gap by developing a novel daily-used solution with a co-located smartphone and flashlight video capture setting in a dim room. To enhance the quality, our key observation is to solve facial reflectance maps within the data distribution of studio-scanned ones. Spec…

The algebraic small object argument as a saturation
Evan Cavallo, Christian Sattler
https://arxiv.org/abs/2506.02759 https://arxiv.or…

The algebraic small object argument as a saturation
We analyze the structure of left maps in algebraic weak factorization systems constructed using Garner's algebraic small object argument. We find that any left map can be constructed from generators in Bourke and Garner's double category of left maps by operations that parallel the classical cell-complex-forming operations of Quillen's small object argument (coproducts, cobase changes, transfinite composites, and retracts). Our main theorems are phrased as "saturation" principles, which express…

DepthGait: Multi-Scale Cross-Level Feature Fusion of RGB-Derived Depth and Silhouette Sequences for Robust Gait Recognition
Xinzhu Li, Juepeng Zheng, Yikun Chen, Xudong Mao, Guanghui Yue, Wei Zhou, Chenlei Lv, Ruomei Wang, Fan Zhou, Baoquan Zhao
https://arxiv.org/abs/2508.03397

DepthGait: Multi-Scale Cross-Level Feature Fusion of RGB-Derived Depth and Silhouette Sequences for Robust Gait Recognition
Robust gait recognition requires highly discriminative representations, which are closely tied to input modalities. While binary silhouettes and skeletons have dominated recent literature, these 2D representations fall short of capturing sufficient cues that can be exploited to handle viewpoint variations, and capture finer and meaningful details of gait. In this paper, we introduce a novel framework, termed DepthGait, that incorporates RGB-derived depth maps and silhouettes for enhanced gait r…

Debiasing Machine Learning Predictions for Causal Inference Without Additional Ground Truth Data: "One Map, Many Trials" in Satellite-Driven Poverty Analysis
Markus Pettersson, Connor T. Jerzak, Adel Daoud
https://arxiv.org/abs/2508.01341

Debiasing Machine Learning Predictions for Causal Inference Without Additional Ground Truth Data: "One Map, Many Trials" in Satellite-Driven Poverty Analysis
Machine learning models trained on Earth observation data, such as satellite imagery, have demonstrated significant promise in predicting household-level wealth indices, enabling the creation of high-resolution wealth maps that can be leveraged across multiple causal trials. However, because standard training objectives prioritize overall predictive accuracy, these predictions inherently suffer from shrinkage toward the mean, leading to attenuated estimates of causal treatment effects and limit…

🤯 Interpretable EEG-to-Image Generation with Semantic Prompts
#eeg #ai

Interpretable EEG-to-Image Generation with Semantic Prompts
Decoding visual experience from brain signals offers exciting possibilities for neuroscience and interpretable AI. While EEG is accessible and temporally precise, its limitations in spatial detail hinder image reconstruction. Our model bypasses direct EEG-to-image generation by aligning EEG signals with multilevel semantic captions -- ranging from object-level to abstract themes -- generated by a large language model. A transformer-based EEG encoder maps brain activity to these captions through…

Discrete Koenigs nets and finite Laplace sequences
Niklas Christoph Affolter, Alexander Yves Fairley
https://arxiv.org/abs/2508.02851 https://arxiv.org/pdf…

Discrete Koenigs nets and finite Laplace sequences
Q-nets are maps from the square grid to projective space that have planar faces. We consider the Laplace sequences of Q-nets, which are determined by iterating a discrete time dynamics called Laplace transformations. In general, the Laplace sequences are bi-infinite. However, there are special cases in which a Laplace transform degenerates to a curve. In these cases we say that the sequences terminates. In this paper, we consider two special cases of Q-nets which are both called (discrete) Koen…

Mr. Holder, the attorney general in the Obama administration, has long fought to end gerrymandered legislative maps.
But a Republican effort in Texas threatens democracy, he said in an interview.
https://www.nytimes.com…

Eric Holder on Why He Reversed Course on Gerrymandering
Mr. Holder, the attorney general in the Obama administration, has long fought to end gerrymandered legislative maps. But a Republican effort in Texas threatens democracy, he said in an interview.

This https://arxiv.org/abs/2411.06842 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

DRIFTS: Optimizing Domain Randomization with Synthetic Data and Weight Interpolation for Fetal Brain Tissue Segmentation
Fetal brain tissue segmentation in magnetic resonance imaging (MRI) is a crucial tool that supports understanding of neurodevelopment, yet it faces challenges due to the heterogeneity of data coming from different scanners and settings, as well as data scarcity. Recent approaches based on domain randomization, like SynthSeg, have shown great potential for single-source domain generalization by simulating images with randomized contrast and image resolution from the label maps. In this work, we …

Harmonic maps and 2D Boussinesq equations
Jian Li, Shaojie Yang
https://arxiv.org/abs/2508.00623 https://arxiv.org/pdf/2508.00623

Harmonic maps and 2D Boussinesq equations
Within the framework of Lagrangian variables, we develop a method for deriving explicit solutions to the 2D Boussinesq equations using harmonic mapping theory. By reformulating the characterization of flow solutions described by harmonic functions, we reduce the problem to solving a particular nonlinear differential system in complex space. To solve this nonlinear differential system, we introduce the Schwarzian and pre-Schwarzian derivatives, and derive the properties of the sense-preserving h…

This https://arxiv.org/abs/2506.02971 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The affirmative answer to Singer's conjecture on the algebraic transfer of rank four
In recent decades, the structure of the mod-2 cohomology of the Steenrod ring $\mathscr A$ has become a major subject of study in the field of Algebraic Topology. One of the earliest attempts to study this cohomology through the use of modular representations of the general linear groups was the groundbreaking work [Math. Z. 202 (1989), 493-523] by W.M. Singer. In that work, Singer introduced a homomorphism, commonly referred to as the "algebraic transfer," which maps from the coinvariants of a…

This https://arxiv.org/abs/2503.19600 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Notes on Non-Compact Maps and the Importance of Bernstein Numbers
In this review paper we study non-compact operators and embeddings between function spaces, highlighting interesting phenomena and the significance of Bernstein numbers. In particular, we demonstrate that for non-compact maps the usual $s$-numbers (e.g., approximation, Kolmogorov, and entropy numbers) fail to reveal finer structural properties, and one must instead consider concepts such as strict singularity and Bernstein numbers.

Was looking for a trash can in this Black Forest town, searched in @…, no results, so I walked around and added all trash cans I could find and other stuff I found useful 🗑️
#OpenStreetMap

Unique equilibrium states for Viana maps with small potentials
Kecheng Li
https://arxiv.org/abs/2508.00136 https://arxiv.org/pdf/2508.00136

Unique equilibrium states for Viana maps with small potentials
We investigate the thermodynamic formalism for Viana maps-skew products obtained by coupling an expanding circle map with a slightly perturbed quadratic family on the fibers. For every Hölder potential $φ$ whose oscillation is below an explicit threshold, we show that an equilibrium state not only exists but is unique and satisfies an upper level-2 large-deviation principle. All of these conclusions persist under sufficiently small perturbations of the reference map.

Degenerations of maps to projective spaces
Eduardo Esteves, Piere Rodriguez, Eduardo Vital
https://arxiv.org/abs/2507.00901 https://a…

Degenerations of maps to projective spaces
Degenerations of linear series on smooth projective varieties approaching multicomponent varieties $X$ give rise to certain quiver representations in the category of linear series over $X$, which yield rational maps from $X$ to the corresponding quiver Grassmannians of codimension 1 subspaces. We describe these quiver Grassmannians for the case of the simplest quiver, arising when $X$ has only two components. We prove that they are reduced, local complete intersections whose components are rati…

This https://arxiv.org/abs/2506.01811 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quantum Circuit Encodings of Polynomial Chaos Expansions
This work investigates the expressive power of quantum circuits in approximating high-dimensional, real-valued functions. We focus on countably-parametric holomorphic maps $u:U\to \mathbb{R}$, where the parameter domain is $U=[-1,1]^{\mathbb{N}}$. We establish dimension-independent quantum circuit approximation rates via the best $n$-term truncations of generalized polynomial chaos (gPC) expansions of these parametric maps, demonstrating that these rates depend solely on the summability exponen…

On the Wasserstein Geodesic Principal Component Analysis of probability measures
Nina Vesseron, Elsa Cazelles, Alice Le Brigant, Thierry Klein
https://arxiv.org/abs/2506.04480

On the Wasserstein Geodesic Principal Component Analysis of probability measures
This paper focuses on Geodesic Principal Component Analysis (GPCA) on a collection of probability distributions using the Otto-Wasserstein geometry. The goal is to identify geodesic curves in the space of probability measures that best capture the modes of variation of the underlying dataset. We first address the case of a collection of Gaussian distributions, and show how to lift the computations in the space of invertible linear maps. For the more general setting of absolutely continuous prob…

Garmin-Uhren unterstützen jetzt Navigation über Google-Maps
Garmin bringt Google Maps auf seine Sportuhren. Die App steht ab sofort zum Download im Connect IQ Store bereit. 
https://www.

Pinched Arnol'd tongues for Families of circle maps
Philip Boyland
https://arxiv.org/abs/2506.02988 https://arxiv.org/pdf/2506.02…

Pinched Arnol'd tongues for Families of circle maps
The family of circle maps \begin{equation*} f_{b, ω} (x) = x + ω+ b\, ϕ(x) \end{equation*} is used as a simple model for a periodically forced oscillator. The parameter $ω$ represents the unforced frequency, $b$ the coupling, and $ϕ$ the forcing. When $ϕ= \frac{1}{2 π} \sin(2 πx)$ this is the classical Arnol'd standard family. Such families are often studied in the $(ω,b)$-plane via the so-called tongues $T_β$ consisting of all $(ω,b)$ such that $f_{b, ω}$ has rotation number $β$. …

The Gifford Fire has now been mapped at 49,760 acres by Intel aircraft.
https://share.watchduty.org/i/58187?ts=1754262139000

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Generative modeling of convergence maps based on predicted one-point statistics
Vilasini Tinnaneri Sreekanth, Jean-Luc Starck, Sandrine Codis
https://arxiv.org/abs/2507.01707

Generative modeling of convergence maps based on predicted one-point statistics
Context: Weak gravitational lensing is a key cosmological probe for current and future large-scale surveys. While power spectra are commonly used for analyses, they fail to capture non-Gaussian information from nonlinear structure formation, necessitating higher-order statistics and methods for efficient map generation. Aims: To develop an emulator that generates accurate convergence maps directly from an input power spectrum and wavelet l1-norm without relying on computationally intensive simu…

Rootin' Tootin' Efficient Ray Shootin': Creating Microlensing Magnification Maps with GPUs
Luke Weisenbach
https://arxiv.org/abs/2506.02114 htt…

Rootin' Tootin' Efficient Ray Shootin': Creating Microlensing Magnification Maps with GPUs
The impending discovery and monitoring of hundreds of new gravitationally lensed quasars and supernovae from upcoming ground and space based large area surveys such as LSST, \textit{Euclid}, and \textit{Roman} necessitates the development of improved numerical methods for studying gravitational microlensing. We present in this work the fastest microlensing map generation code currently publicly available. We utilize graphics processing units to take advantage of the inherent parallelizable natu…

Partial regularity of optimal transport with Coulomb cost
Gero Friesecke, Tobias Ried
https://arxiv.org/abs/2508.01756 https://arxiv.org/pdf/2508.01756

Partial regularity of optimal transport with Coulomb cost
We prove that for two-marginal optimal transport with Coulomb cost, the optimal map is a $C^{1,α}$ diffeomorphism outside a closed set of Lebesgue measure zero provided the marginals are $α$-Hölder continuous and bounded away from zero and infinity. Excluding a set of measure zero is necessary as optimal maps for the Coulomb cost have long been known to exhibit jump singularities across codimension $1$ surfaces (even for smooth marginals on convex domains).

The Gifford fire has now been mapped at 65,061.8 acres by Intel aircraft.
Their perimeter is visible on the Watch Duty map under the Active Fire Perimeters map layer.
https://share.watchduty.org/i/58187?ts=1754292492000

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Learning Balanced Field Summaries of the Large-Scale Structure with the Neural Field Scattering Transform
Matthew Craigie, Yuan-Sen Ting, Rossana Ruggeri, Tamara M. Davis
https://arxiv.org/abs/2506.05090

Learning Balanced Field Summaries of the Large-Scale Structure with the Neural Field Scattering Transform
We present a cosmology analysis of weak lensing convergence maps using the Neural Field Scattering Transform (NFST) to constrain cosmological parameters. The NFST extends the Wavelet Scattering Transform (WST) by incorporating trainable neural field filters while preserving rotational and translational symmetries. This setup balances flexibility with robustness, ideal for learning in limited training data regimes. We apply the NFST to 500 simulations from the CosmoGrid suite, each providing a t…

On $L$-$\omega$-nonexpansive maps
Cleon S. Barroso, Jeimer V. Bedoya, Carlos S. R. da Silva
https://arxiv.org/abs/2507.00859 https://…

On $L$-$ω$-nonexpansive maps
We consider $L$-$ω$-nonexpansive maps $T\colon K\to K$ on a convex subset $K$ of a Banach space $X$, i.e., maps in which $ω_T(δ)\leq Lδ+ω(δ)$ with $L\in [0,1]$, $ω$ being a modulus of continuity and $ω_T$ is the minimal modulus of continuity of $T$. Both AFPP and FPP are studied. For moduli $ω$ with $ω'(0)=\infty$, we show that if $X$ contains an isomorphic copy of $\co$ then it fails the FPP for $0$-$ω$-nonexpansive maps with minimal displacement zero. In the affirmative direction, …

#GiffordFire
Today is expected to be another active day,
particularly as the fire aligns with topographical features
along grass and brush-covered hillsides.
The main priorities for today include improving containment
lines on the northern flank to prevent the fire from progressing toward the Manchaca Wilderness,
continuing efforts in Cuyama Valley to keep the fire on…

Watch Duty - Wildfire Maps & Alerts
Real-time information about wildfire and firefighting efforts nearby

Equation vs. AI: Predict Density and Measure Width of molecular clouds by Multiscale Decomposition
Mengke Zhao, Guang-Xing Li, Duo Xu, Keping Qiu
https://arxiv.org/abs/2508.01130

Equation vs. AI: Predict Density and Measure Width of molecular clouds by Multiscale Decomposition
Interstellar medium widely exists in the universe at multi-scales. In this study, we introduce the {\it Multi-scale Decomposition Reconstruction} method, an equation-based model designed to derive width maps of interstellar medium structures and predict their volume density distribution in the plane of the sky from input column density data. This approach applies the {\it Constrained Diffusion Algorithm}, based on a simple yet common physical picture: as molecular clouds evolve to form stars, t…

This https://arxiv.org/abs/2402.15355 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Boundaries and equivariant maps for ergodic groupoids
We give a notion of boundary pair $(\mathcal{B}_-,\mathcal{B}_+)$ for measured groupoids which generalizes the one introduced by Bader and Furman \cite{BF14} for locally compact groups. In the case of a semidirect groupoid $\mathcal{G}=Γ\ltimes X$ obtained by a probability measure preserving action $Γ\curvearrowright X$ of a locally compact group, we show that a boundary pair is exactly $(B_- \times X, B_+ \times X)$, where $(B_-,B_+)$ is a boundary pair for $Γ$. For any measured groupoid $(…

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map
Adam Grzela, Katarzyna Mazowiecka
https://arxiv.org/abs/2506.05060

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map
In 1998 T. Rivière proved that there exist infinitely many homotopy classes of $π_3(\mathbb S^2)$ having a minimizing 3-harmonic map. This result is especially surprising taking into account that in $π_3(\mathbb S^3)$ there are only three homotopy classes (corresponding to the degrees $\{-1,0,1\}$) in which a minimizer exists. We extend this theorem in the framework of fractional harmonic maps and prove that for $s\in(0,1)$ there exist infinitely many homotopy classes of $π_{3}(\mathbb S^…

Texas Gov. Greg Abbott (R) is threatening to remove Democratic lawmakers from office
for fleeing the state
and claiming they could be charged with crimes,
-- escalating tensions overnight
in a showdown over redrawing congressional lines
ahead of the midterm elections.

Most of the Democrats in the Texas state House exited the state Sunday
— many of whom arrived in Chicago in the evening
— to prevent Republicans from overhauling the state’s map t…

Abbott threatens to try to expel Democrats who fled Texas, escalating tensions
The Texas state House is set to reconvene at 3 p.m. CT Monday. Democrats have left the state to try to stop Republicans from moving ahead with enacting a new congressional map that would give the GOP five more safe seats.

Current view of the Madre fire from the California Valley camera.
Numerous aerial resources continue to work the fire, with additional still en route, including a 2nd VLAT (very large air tanker) which is en route from Washington State
https://share.watchduty.org/i/53616/re

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Flexibility versus genericity of phase diagrams of perturbed continuous maps on the Cantor set
Hugo Marsan, Mathieu Sablik
https://arxiv.org/abs/2508.00461 https://

Flexibility versus genericity of phase diagrams of perturbed continuous maps on the Cantor set
Consider the dynamical system constitued by a continuous function $F:\mathcal{A}^\mathbb{N}\to\mathcal{A}^\mathbb{N}$ where $\mathcal{A}$ is a finite alphabet. The perturbed counterpart, denoted by $F_ε$, is obtained after each iteration of $F$ by modifying each cell independently with probability $ε\in[0,1]$ and choosing the new value uniformly. We characterize the possible sets of $ε\in[0,1]$ such that $F_ε$ has a unique measure. These sets are exactly the $G_δ$ sets (countable intersect…

Random Operator-Valued Frames in Hilbert Spaces
James Tian
https://arxiv.org/abs/2508.01914 https://arxiv.org/pdf/2508.01914…

Random Operator-Valued Frames in Hilbert Spaces
This paper develops a framework for operator-valued random variables on separable Hilbert spaces. Random operators are defined as measurable maps into the space of bounded operators, with measurability understood in the strong operator sense. Under a coercivity condition on i.i.d. random positive contractions, an iterative scheme is introduced and shown to converge both in mean square and almost surely. The limit is identified, and the resulting family of iterated random operators forms a rando…

This https://arxiv.org/abs/2112.09041 has been replaced.
link: https://scholar.google.com/scholar?q=a

Ahlfors-regular conformal dimension and energies of graph maps
For a hyperbolic rational map $f$ with connected Julia set, we give upper and lower bounds on the Ahlfors-regular conformal dimension of its Julia set $J_f$ from a family of energies of associated graph maps. Concretely, the dynamics of $f$ is faithfully encoded by a pair of maps $π, ϕ: G_1 \to G_0$ between finite graphs that satisfies a natural expanding condition. Associated to this combinatorial data, for each $q \geq 1$, is a numerical invariant $\overline{E}^q[π,ϕ]$, its asymptotic $q$…

California Gov. Gavin Newsom is doubling down on his threat to overhaul the state's independent redistricting process,
escalating a political standoff with Texas Republicans that's becoming a flashpoint in the fight for control of Congress.
This week, the Texas Legislature kicked off a special session where redistricting is on the table,
🆘as Republicans reevaluate their congressional maps to help the GOP retain its slim House majority after the 2026 midterms.
A…

Newsom calls GOP's push to redraw TX congressional maps an 'existential crisis to democracy'
Newsom told reporters the GOP's push to redraw congressional maps in Texas is a "five-alarm fire for democracy in the United States" and is doubling down on his threat to overhaul California's redistricting process.

This https://arxiv.org/abs/2407.01828 has been replaced.
link: https://scholar.google.com/scholar?q=a

Folding and Metric Entropies for Extended Shifts
In this paper we calculate the metric and folding entropies for a family of non-invertible symbolic dynamical systems $(Σ_{m_-,m_+}, σ_ϕ)$ which generalizes the standard bilateral Bernoulli shifts. The space $Σ_{m_-,m_+}$ consists of symbolic sequences over two distinct finite alphabets, with dynamics governed by a shift map $σ_ϕ$ incorporating a non-invertible function $ϕ$ that maps one of the alphabets to the other one. These systems are, for instance, particularly useful for encoding …

Note: This Incident is now known as the #MadreFire
Plowshare Peak - ALERTCalifornia |
UC San Diego
Updated view of the fire from the Plowshare Peak camera.
https://share.watchduty.org/i/53616?ts

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