Tootfinder

Wiggle Fest Slow Ride!
Sunday April 13th wiggle along some slow streets!
Meet at Balboa Park 12pm, Roll @ 12:30
Bike along Cayuga stopping at Palega Rec Center, then to Herons Head Park, and finally thru the Mission to Duboce park and Wiggle Fest.
More info: https://www.safestreetreb…

Plateau Sigma – The Great Reset EP
#byncnd

#Clojure map-interval
Like `map` -- apply function `f` to each element in `col` in turn and return the values returned in sequence, but in a single thread and pausing between each invocation of `f`.

Useful for example in circumstances where you're querying a rate-limited service.

Map, but with a delay
Map, but with a delay. GitHub Gist: instantly share code, notes, and snippets.

This https://arxiv.org/abs/2404.14096 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The coproduct for the affine Yangian and the parabolic induction for non-rectangular $W$-algebras
By using the coproduct and evaluation map for the affine Yangian and the Miura map for non-rectangular $W$-algebras, we construct a homomorphism from the affine Yangian associated with $\widehat{\mathfrak{sl}}(n)$ to the universal enveloping algebra of a non-rectangular $W$-algebra of type $A$, which is an affine analogue of the one given in De Sole-Kac-Valeri. As a consequence, we find that the coproduct for the affine Yangian is compatible with some of the parabolic induction for non-rectangu…

Wiggle Fest Slow Ride!
Sunday April 13th wiggle along some slow streets!
Meet at Balboa Park 12pm, Roll @ 12:30
Bike along Cayuga stopping at Palega Rec Center, then to Herons Head Park, and finally thru the Mission to Duboce park and Wiggle Fest.
More info: https://www.safestreetreb…

Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$
Anna-Maria Raukh
https://arxiv.org/abs/2506.04094 https://

Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$
Given a hypersurface $i \colon X \hookrightarrow \widetilde{P}^n$ in a weighted projective space, we compute the intersection form on the second cohomology $H^2(X, \mathbb{Z})^{\otimes n-1} \to \mathbb{Z}$ for the purpose of identifying Fano manifolds obtained from smoothing singular Fanos. In the process, we describe the integer cohomology groups $H^k(X, \mathbb{Z})$ for $k

Multi-step Strong First-Order Electroweak Phase Transitions in the Inverted Type-I 2HDM: Parameter Space, Gravitational Waves, and Collider Phenomenology
Soojin Lee, Dongjoo Kim, Jin-Hwan Cho, Jinheung Kim, Jeonghyeon Song
https://arxiv.org/abs/2506.03260

Multi-step Strong First-Order Electroweak Phase Transitions in the Inverted Type-I 2HDM: Parameter Space, Gravitational Waves, and Collider Phenomenology
We investigate the nature of the electroweak phase transition (EWPT) in the Type-I two-Higgs-doublet model under the inverted Higgs scenario, where the observed 125 GeV Higgs boson corresponds to the heavier \textit{CP}-even scalar. We systematically map the parameter space viable for strong first-order EWPTs (SFOEWPTs) under current theoretical and experimental constraints, revealing that such transitions can occur through one-step, two-step, and rarely three-step pathways with distinct phenom…

This https://arxiv.org/abs/2504.19466 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The partial derivative of ratios of Schur polynomials and applications to symplectic quotients
We show that a ratio of Schur polynomials $s_λ/s_ρ$ associated to partitions $λ$ and $ρ$ such $λ\subsetneqρ$ has a negative partial derivative at any point where all variables are positive. This is accomplished by establishing an injective map between sets of pairs of skew semistandard Young tableaux that preserves the product of the corresponding monomials. We use this result and the description of the first Laurent coefficient of the Hilbert series of the graded algebra of regular funct…

We in Game Workers Unite Ireland stand in solidarity with Animation Workers of Ireland, and the international trade union coalition happening to organise against the threat of AI in the animation industry, and we support their call to acton.
Join them Thursday 12 June at 14:00 at the Pâquier in Annecy!!
#Animation

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map
Christian Meyer, Gerd Wachsmuth
https://arxiv.org/abs/2506.02808

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map
An optimal control problem in the space of Borel measures governed by the Poisson equation is investigated. The characteristic feature of the problem under consideration is the Tikhonov regularization term in form of the transportation distance of the control to a given prior. Existence of optimal solutions is shown and first-order necessary optimality conditions are derived. The latter are used to deduce structural a priori information about the optimal control and its support based on propert…

See the Countries Under Trump's New Travel Ban (Allison McCann/New York Times)
https://www.nytimes.com/interactive/2025/06/04/us/politics/trump-travel-ban-map.html
http://www.memeorandum.com/250605/p4#a250605p4

Tensor Renormalization Group Meets Computer Assistance
Nikolay Ebel, Tom Kennedy, Slava Rychkov
https://arxiv.org/abs/2506.03247 https://

Tensor Renormalization Group Meets Computer Assistance
Tensor renormalization group, originally devised as a numerical technique, is emerging as a rigorous analytical framework for studying lattice models in statistical physics. Here we introduce a new renormalization map - the 2x1 map - which coarse-grains the lattice anisotropically by a factor of two in one direction followed by a 90-degree rotation. We develop a novel graphical language that translates the action of the 2x1 map into a system of inequalities on tensor components, with rigorous e…

This https://arxiv.org/abs/2412.18457 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Patterns of Geodesics, Shearing, and Anosov Representations of the Modular Group
Let $X=SL_3(\R)/SO(3)$. Let $\cal DFR$ be the space of discrete faithful representations of the modular group into ${\rm Isom\/}(X)$ which map the order $2$ generator to an isometry with a unique fixed point. I prove many things about the component $\cal B$ of $\cal DFR$ known as the Barbot component: It is homeomorphic to $\R^2 \times [0,\infty)$. The boundary parametrizes the Pappus representations from [{\bf S0\/}]. The interior parametrizes the complete extension of the family of Anosov rep…

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 …

This https://arxiv.org/abs/2505.10018 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

LEMON-Mapping: Loop-Enhanced Large-Scale Multi-Session Point Cloud Merging and Optimization for Globally Consistent Mapping
Multi-robot collaboration is becoming increasingly critical and presents significant challenges in modern robotics, especially for building a globally consistent, accurate map. Traditional multi-robot pose graph optimization (PGO) methods ensure basic global consistency but ignore the geometric structure of the map, and only use loop closures as constraints between pose nodes, leading to divergence and blurring in overlapping regions. To address this issue, we propose LEMON-Mapping, a loop-enha…

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…

This https://arxiv.org/abs/2502.12010 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Hyperplane arrangements and the Gauss map of a pencil
We show that the coefficients of the characteristic polynomial of a central hyperplane arrangement $\mathcal A$, coincide with the multidegrees of the Gauss map of a pencil of hypersurfaces naturally associated to $\mathcal A$. As a consequence, we obtain a proof of the Heron-Rota-Welsh conjecture for matroids representable over a field of characteristic zero.

Learning to cluster neuronal function
Nina S. Nellen, Polina Turishcheva, Michaela Vystr\v{c}ilov\'a, Shashwat Sridhar, Tim Gollisch, Andreas S. Tolias, Alexander S. Ecker
https://arxiv.org/abs/2506.03293

Learning to cluster neuronal function
Deep neural networks trained to predict neural activity from visual input and behaviour have shown great potential to serve as digital twins of the visual cortex. Per-neuron embeddings derived from these models could potentially be used to map the functional landscape or identify cell types. However, state-of-the-art predictive models of mouse V1 do not generate functional embeddings that exhibit clear clustering patterns which would correspond to cell types. This raises the question whether th…

The {esquisse} package makes it easy to plot your data in different ways with a drag and drop interface: #rstats

Explore and Visualize Your Data Interactively
A shiny gadget to create ggplot2 figures interactively with drag-and-drop to map your variables to different aesthetics. You can quickly visualize your data accordingly to their type, export in various formats, and retrieve the code to reproduce the plot.

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^…

MudiNet: Task-guided Disentangled Representation Learning for 5G Indoor Multipath-assisted Positioning
Ye Tian, Xueting Xu, Ao Peng
https://arxiv.org/abs/2506.04024

MudiNet: Task-guided Disentangled Representation Learning for 5G Indoor Multipath-assisted Positioning
In the fifth-generation communication system (5G), multipath-assisted positioning (MAP) has emerged as a promising approach. With the enhancement of signal resolution, multipath component (MPC) are no longer regarded as noise but rather as valuable information that can contribute to positioning. However, existing research often treats reflective surfaces as ideal reflectors, while being powerless in the face of indistinguishable multipath caused by diffuse reflectors. This study approaches diff…

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…

Anomalous magnetic response in the Au-Al-Gd 1/1 quasicrystal approximant
Takafumi D. Yamamoto, Tasuku Watanae, Farid Labib, Asuka Ishikawa, Shintaro Suzuki, Ryuji Tamura
https://arxiv.org/abs/2506.00778

Anomalous magnetic response in the Au-Al-Gd 1/1 quasicrystal approximant
The magnetic response of the Tsai-type 1/1 Au-Al-Gd approximant crystals (ACs) was quantitatively investigated in terms of the magnetic entropy change ($ΔS_{M}$) for different magnetic ground states. A comprehensive $ΔS_{M}$ map over a wide electron concentration range has been established, demonstrating the detailed variation of $ΔS_{M}$ across the entire magnetic phase diagram in the Tsai-type 1/1 ACs. Near the boundaries of the ferromagnetic (FM) phase, a clear deviation from the mean-fie…

Self-Supervised Spatial Correspondence Across Modalities
Ayush Shrivastava, Andrew Owens
https://arxiv.org/abs/2506.03148 https://arx…

Self-Supervised Spatial Correspondence Across Modalities
We present a method for finding cross-modal space-time correspondences. Given two images from different visual modalities, such as an RGB image and a depth map, our model identifies which pairs of pixels correspond to the same physical points in the scene. To solve this problem, we extend the contrastive random walk framework to simultaneously learn cycle-consistent feature representations for both cross-modal and intra-modal matching. The resulting model is simple and has no explicit photo-con…

A Wide Field Map of Ultra-Compact Dwarfs in the Coma Cluster
Richard T. Pomeroy, Juan P. Madrid, Conor R. O'Neill, Alexander T. Gagliano
https://arxiv.org/abs/2506.02296

A Wide Field Map of Ultra-Compact Dwarfs in the Coma Cluster
A dataset of 23,351 globular clusters (GCs) and ultra-compact dwarfs (UCDs) in the Coma cluster of galaxies was built using Hubble Space Telescope Advanced Camera for Surveys data. Based on the standard magnitude cut of $M_V \leq -11$, a total of 523 UCD candidates are found within this dataset of Compact Stellar Systems (CSS). From a color-magnitude diagram (CMD) analysis built using this catalog, we find a clear mass-magnitude relation extending marginally into the UCD parameter space. The lu…

On measure homology of mildly wild spaces
Thilo Kuessner, Janusz Przewocki, Andreas Zastrow
https://arxiv.org/abs/2506.03368 https://…

On measure homology of mildly wild spaces
We prove injectivity of the canonical map from singular homology to measure homology for certain ``mildly wild" spaces, that is, certain spaces not having the homotopy type of a CW-complex, but having countable fundamental groups.

out today: the #GratefulDead's new 60-CD "enjoying the ride" box. i wrote a ton of liner notes for this, including mini-essays about all the shows & venues, tour lore, & many maps. play with an interactive map: https://tmns.dead.n…

Take a trip to the fantastical land of the Grateful Dead
Follow the Heady Highway to discover storied venues that hosted legendary live performances by the Dead from shows spanning 25 years

Finite-dimensional irreducible representations of twisted loop algebras of the second kind
Hideya Watanabe
https://arxiv.org/abs/2506.02379 https://…

Finite-dimensional irreducible representations of twisted loop algebras of the second kind
Twisted loop algebras of the second kind are infinite-dimensional Lie algebras that are constructed from a semisimple Lie algebra and an automorphism on it of order at most $2$. They are examples of equivariant map algebras. The finite-dimensional irreducible representations of an arbitrary equivariant map algebra have been classified by Neher--Savage--Senesi. In this paper, we classify the finite-dimensional irreducible representations of twisted loop algebras of the second kind in a more elem…

Getting almost all the bits from a quantum random access code
Han-Hsuan Lin (National Tsing Hua University, Taiwan), Ronald de Wolf (QuSoft, CWI,University of Amsterdam)
https://arxiv.org/abs/2506.01903

Getting almost all the bits from a quantum random access code
A quantum random access code (QRAC) is a map $x\mapstoρ_x$ that encodes $n$-bit strings $x$ into $m$-qubit quantum states $ρ_x$, in a way that allows us to recover any one bit of $x$ with success probability $\geq p$. The measurement on $ρ_x$ that is used to recover, say, $x_1$ may destroy all the information about the other bits; this is in fact what happens in the well-known QRAC that encodes $n=2$ bits into $m=1$ qubits. Does this generalize to large $n$, i.e., could there exist QRACs tha…

This https://arxiv.org/abs/2407.08438 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Symmetries of power-free integers in number fields and their shift spaces
We describe the group of $\mathbb Z$-linear automorphisms of the ring of integers of a number field $K$ that preserve the set $V_{K,k}$ of $k$th power-free integers: every such map is the composition of a field automorphism and the multiplication by a unit. We show that those maps together with translations generate the extended symmetry group of the shift space $\mathbb D_{K,k}$ associated to $V_{K,k}$. Moreover, we show that no two such dynamical systems $\mathbb D_{K,k}$ and $\mathbb D_{L,…

Hard to describe that one, but give it time to develop... some Latin influences, warm Moog bass, generally loose, understated, slightly melancholic, minimal...
Map.ache - Loosing Is Not An Option (2018)
https://www.youtube.com/watch?v=miRAyXQ1DXE

Å reise med tog kan være en prŸvelse.
Bane Nor bŸr ta seg et brett med boller og begynne med ansvarliggjŸring.
Vy også. Standarden på vognsett fra 90 tallet er begredelig. Vedlikehold og renhold likeså.
Er det ikke vognsett med problemer, så er det sporveksler og lyssignaler.
Etter å ha stått stille sŸr for Drammen i tre kvarter, er det bevegelse igjen... men hvor lenge?
#NorskTut

For anyone that hasn't seen it yet you can add the Misskey/Sharkey instance at baise-moi.top to your #fediblock list, it is yet another source of map content and potential CSAM
#FediAdmin #MastoAdmin

This https://arxiv.org/abs/2402.09574 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of $\mathbb{CP}^2$
Using the inverse period map of the Gauss-Manin connection associated with $QH^{*}\bigl(\mathbb{CP}^2\bigr)$ and the Dubrovin construction of Landau-Ginzburg superpotential for Dubrovin-Frobenius manifolds, we construct a one-dimensional Landau-Ginzburg superpotential for the quantum cohomology of $\mathbb{CP}^2$. In the case of small quantum cohomology, the Landau-Ginzburg superpotential is expressed in terms of the cubic root of the $j$-invariant function. For big quantum cohomology, the one-…

I went to check out leaflet.js after seeing it mentioned as one of the options for interactive map features. And after opening the homepage, I now must use it and support it: https://leafletjs.com/
I love the last paragraph in the pop up:
"If you support the actions of the Russian government…

Leaflet — an open-source JavaScript library for interactive maps
Leaflet is a modern, lightweight open-source JavaScript library for mobile-friendly interactive maps.

Pluto Geologic Map: Use of Crater Data to Understand Age Relationships
Kelsi N. Singer, Oliver L. White, Sarah Greenstreet, Jeffrey M. Moore, David A. Williams, Rosaly M. C. Lopes
https://arxiv.org/abs/2506.00254

Pluto Geologic Map: Use of Crater Data to Understand Age Relationships
Pluto's surface displays a wide variety of geologic units from smooth plains to extremely rugged mountainous expanses. These terrains range in age from young, actively resurfaced regions (no observable craters even in the highest-resolution New Horizons images) to old, heavily cratered, eroded regions. Here we expand upon the crater data analysis and the independent crater data set used in the production of a 1:7M scale geologic map of Pluto that is to be published by the United States Geologic…

The flip map and involutions on Khovanov homology
Daren Chen, Hongjian Yang
https://arxiv.org/abs/2506.00824 https://arxiv.org/pdf/25…

The flip map and involutions on Khovanov homology
The flip symmetry on knot diagrams induces an involution on Khovanov homology. We prove that this involution is determined by its behavior on unlinks; in particular, it is the identity map when working over $\mathbb{F}_2$. This confirms a folklore conjecture on the triviality of the Viro flip map. As a corollary, we prove that the symmetries on the transvergent and intravergent diagrams of a strongly invertible knot induce the same involution on Khovanov homology. We also apply similar techniqu…

Iterative Neural Rollback Chase-Pyndiah Decoding
Dmitry Artemasov, Oleg Nesterenkov, Kirill Andreev, Pavel Rybin, Alexey Frolov
https://arxiv.org/abs/2506.04839

Iterative Neural Rollback Chase-Pyndiah Decoding
Iterative decoding is essential in modern communication systems, especially optical communications, where error-correcting codes such as turbo product codes (TPC) and staircase codes are widely employed. A key factor in achieving high error correction performance is the use of soft-decision decoding for component codes. However, implementing optimal maximum a posteriori (MAP) probability decoding for commonly used component codes, such as BCH and Polar codes, is computationally prohibitive. Ins…

Reconstructing the wavefunction of magnetic topological insulators MnBi2Te4 and MnBi4Te7 using spin-resolved photoemission
Xue Han, Jason Qu, Hengxin Tan, Zicheng Tao, Noah M. Meyer, Patrick S. Kirchmann, Yanfeng Guo, Binghai Yan, Zhi-Xun Shen, Jonathan A. Sobota
https://arxiv.org/abs/2506.02466

Reconstructing the wavefunction of magnetic topological insulators MnBi2Te4 and MnBi4Te7 using spin-resolved photoemission
Despite their importance for exotic quantum effects, the surface electronic structure of magnetic topological insulators MnBi2Te4 and MnBi4Te7 remains poorly understood. Using high-efficiency spin- and angle-resolved photoemission spectroscopy, we directly image the spin-polarization and orbital character of the surface states in both compounds and map our observations onto a model wavefunction to describe the complex spin-orbital texture, which solidifies our understanding of the surface band …

There is only one Farey map
Giovanni Panti
https://arxiv.org/abs/2506.02984 https://arxiv.org/pdf/2506.02984

There is only one Farey map
Let A_0, A_1 be nonnegative matrices in GL(n+1,Z) such that the subsimplexes A_0[Delta], A_1[Delta] split the standard unit n-dimensional simplex Delta in two. We prove that, for every n=1,2,... and up to the natural action of the symmetric group by conjugation, there are precisely three choices for the pair (A_0, A_1) such that the resulting projective Iterated Function System is topologically contractive. In equivalent terms, in every dimension there exist precisely three continued fraction a…

Reconstructing the Milky Way chemical map with Galactic Chemical Evolution tool OMEGA from SDSS-MWM
Viola Heged\H{u}s, Szabolcs M\'esz\'aros, Blanka Vil\'agos, Marco Pignatari, J. Emily Griffith, Diogo Souto, Maria Lugaro
https://arxiv.org/abs/2506.00503

Reconstructing the Milky Way chemical map with Galactic Chemical Evolution tool OMEGA+ from SDSS-MWM
We obtain two-infall galactic chemical evolution (GCE) models simulating the chemical evolution of the Milky Way as constrained by a golden sample of $394,000$ stellar abundances of the Milky Way Mapper survey from the 19th data release of SDSS-V. The separation between the chemical thin and thick disks is defined using [Mg/M]. We use the chemical evolution environment $\texttt{OMEGA+}$, combined with Levenberg-Marquardt and bootstrapping. We simulate the entire Galactic disk and six galactocen…

This https://arxiv.org/abs/2503.04672 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Finding White Dwarfs' Hidden Companions using an Unsupervised Machine Learning Technique
White dwarfs (WD) with main-sequence (MS) companions are crucial probes of stellar evolution. However, due to the significant difference in their luminosities, the WD is often outshined by the MS star. The aim of this work is to find hidden companions in Gaia's sample of WD candidates. Our methodology involves applying an unsupervised machine learning algorithm for dimensionality reduction and clustering, known as Self-Organizing Map (SOM), to Gaia BP/RP (XP) spectra. This strategy allows us to…

Silly #LinkedOpenData contribution of the day (month? year?): adding #Caltech’s iconic Fleming Cannon to #OpenStreetMap and #Wikidata

Node: ‪Fleming Cannon‬ (‪12880607063‬)
OpenStreetMap is a map of the world, created by people like you and free to use under an open license.

Are you looking to accurately measure your organisation's current progress on the path towards digital transformation?
Take the OAV Maturity Model survey!
Developed by the Network eAcademy team of the GÉANT project, it’s designed to help #NRENs and R&E organisations assess where they are on their Orchestration, Automation, and Virtualisation (OAV) journey, and map out the next st…

Orchestration, Automation and Virtualisation (OAV) Maturity Model: a tool to assess where you are and help you reach the next level | GÉANT CONNECT Online
Words: Maria Isabel Gandia Carriedo (CSUC) and Eldis Mujaric (CARNET) Organisations with advanced capabilities in Orchestration, Automation and Virtualisation (OAV) are more likely to succeed in their path towards digital transformation. But how can the progress in these areas be accurately measured? And how can organisations identify the actions needed to drive further advancement? Maturity Models

Isomorphism of \'etale fundamental groups lifts to isomorphism of stratified fundamental group
Indranil Biswas, Manish Kumar, A. J. Parameswaran
https://arxiv.org/abs/2506.03829

Isomorphism of étale fundamental groups lifts to isomorphism of stratified fundamental group
It is shown that if a finite generically smooth morphism $f\,:\,Y\,\longrightarrow\, X$ of smooth projective varieties induces an isomorphism of the étale fundamental groups, then the induced map of the stratified fundamental groups $π_1^{str}(f)\, :\, π_1^{str}(Y,\, y)\,\longrightarrow\, π_1^{str}(X,\, f(y))$ is also an isomorphism.

A2 Copula-Driven Spatial Bayesian Neural Network For Modeling Non-Gaussian Dependence: A Simulation Study
Agnideep Aich, Sameera Hewage, Md Monzur Murshed, Ashit Baran Aich, Amanda Mayeaux, Asim K. Dey, Kumer P. Das, Bruce Wade
https://arxiv.org/abs/2505.24006

A2 Copula-Driven Spatial Bayesian Neural Network For Modeling Non-Gaussian Dependence: A Simulation Study
In this paper, we introduce the A2 Copula Spatial Bayesian Neural Network (A2-SBNN), a predictive spatial model designed to map coordinates to continuous fields while capturing both typical spatial patterns and extreme dependencies. By embedding the dual-tail novel Archimedean copula viz. A2 directly into the network's weight initialization, A2-SBNN naturally models complex spatial relationships, including rare co-movements in the data. The model is trained through a calibration-driven process …

In-the-wild Audio Spatialization with Flexible Text-guided Localization
Tianrui Pan, Jie Liu, Zewen Huang, Jie Tang, Gangshan Wu
https://arxiv.org/abs/2506.00927

In-the-wild Audio Spatialization with Flexible Text-guided Localization
To enhance immersive experiences, binaural audio offers spatial awareness of sounding objects in AR, VR, and embodied AI applications. While existing audio spatialization methods can generally map any available monaural audio to binaural audio signals, they often lack the flexible and interactive control needed in complex multi-object user-interactive environments. To address this, we propose a Text-guided Audio Spatialization (TAS) framework that utilizes flexible text prompts and evaluates ou…

This https://arxiv.org/abs/2108.12692 has been replaced.
link: https://scholar.google.com/scholar?q=a

Integrable dynamics in projective geometry via dimers and triple crossing diagram maps on the cylinder
We introduce twisted triple crossing diagram maps, collections of points in projective space associated to bipartite graphs on the cylinder, and use them to provide geometric realizations of the cluster integrable systems of Goncharov and Kenyon constructed from toric dimer models. Using this notion, we provide geometric proofs that the pentagram map and the cross-ratio dynamics integrable systems are cluster integrable systems. We show that in appropriate coordinates, cross-ratio dynamics is d…

This https://arxiv.org/abs/2303.14503 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On winding numbers of $K_5$ minus an edge in the plane
Let $K$ be the graph on vertices $\{1, 2, 3, 4, 5\}$, and having all edges except $(4, 5)$. A continuous map $f:K\to \R^2$ is called an \emph{almost embedding} if $f$-images of non-adjacent edges are disjoint. Take the winding numbers of the $f$-image of the oriented cycle $(1, 2, 3)$ around $f(4)$ and around $f(5)$. We prove that the difference of these numbers equals $\pm 1$. This is surprising, because in other similar situations analogous statement is wrong.

Great chart of #SEAsia's largest urban parks. Should be an national embarrassment how far down you have to scroll to find the any #city #park from one country in particular, the name of which wouldn't surprise any…

Largest urban parks in Southeast Asia
A list of the largest urban parks in Southeast Asia. Urban parks in Southeast Asia map [Map of urban parks in Southeast Asia.] Notes about the urban park list This is an ongoing list that I am coll…

This https://arxiv.org/abs/2505.06681 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Local well-posedness for a system of quadratic derivative nonlinear Schrödinger equations
We consider the Cauchy problem for a system of quadratic derivative nonlinear Schrödinger equations introduced by M. Colin and T. Colin (2004) as a model of laser-plasma interaction. Under the condition that the flow map fails to be twice differentiable, Hirayama, Kinoshita, and Okamoto (2022) proved the well-posedness by constructing a modified energy and applying the energy method. In the present paper, we improve the well-posedness result under the above condition by using the short-time Fo…

Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model
K. Atalikov, A. Zotov
https://arxiv.org/abs/2506.00938

Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model
We prove gauge equivalence between integrable field generalization of the elliptic Calogero-Moser model and the higher rank XYZ Landau-Lifshitz model of vector type on 1+1 dimensional space-time. Explicit formulae for the change of variables are derived, thus providing the Poisson map between these models.

Globally Consistent RGB-D SLAM with 2D Gaussian Splatting
Xingguang Zhong, Yue Pan, Liren Jin, Marija Popovi\'c, Jens Behley, Cyrill Stachniss
https://arxiv.org/abs/2506.00970

Globally Consistent RGB-D SLAM with 2D Gaussian Splatting
Recently, 3D Gaussian splatting-based RGB-D SLAM displays remarkable performance of high-fidelity 3D reconstruction. However, the lack of depth rendering consistency and efficient loop closure limits the quality of its geometric reconstructions and its ability to perform globally consistent mapping online. In this paper, we present 2DGS-SLAM, an RGB-D SLAM system using 2D Gaussian splatting as the map representation. By leveraging the depth-consistent rendering property of the 2D variant, we pr…

I love this map, seen at the American Museum in Bath. The creatures are closer to reality than many such maps, but still very much mythical.
Map of the Polar Regions
Theodor de Bry (1528-1598) Copperplate engraving, Frankfurt, 1601
#Art #maps

Springtime in Spain: Sevilla airport already hit 40°C today!
Map: https://www.aemet.es/es/eltiempo/observacion/ultimosdatos?k=and&w=1&datos=img&f=tmax

El Tiempo. Hoy y últimos días: Andalucía - Resumen jueves 29 - Mapa - Temperatura máxima (°C) - Agencia Estatal de Meteorología - AEMET. Gobierno de España
El Tiempo. Datos horarios y resúmenes diarios de la red de estaciones automáticas: Andalucía - Resumen jueves 29 - Mapa - Temperatura máxima (°C)

Beyond just predicting words, LLMs interpolate meaning between data points, as in the recent phenomenon of AI explaining fake idioms like "you can’t lick a badger twice." The danger is that made-up "truths" will fuel future models
https://www.

This https://arxiv.org/abs/2404.05836 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCY_…

Hiden Topics in Robotic Process Automation -- an Approach based on AI
Robotic Process Automation (RPA) has rapidly evolved into a widely recognized and influential software technology. Its growing relevance has sparked diverse research efforts across various disciplines. This study aims to map the scientific landscape of RPA by identifying key thematic areas, tracking their development over time, and assessing their academic impact. To achieve this, we apply an unsupervised machine learning technique Latent Dirichlet Allocation (LDA) to analyze the abstracts of o…

Physics beyond the Standard Model with the DSA-2000
Kim V. Berghaus, Yufeng Du, Vincent S. H. Lee, Anirudh Prabhu, Robert Reischke, Liam Connor, Kathryn M. Zurek
https://arxiv.org/abs/2505.23892

Physics beyond the Standard Model with the DSA-2000
The upcoming Deep Synoptic Array 2000 (DSA-2000) will map the radio sky at $0.7-2$ GHz ($2.9 - 8.3 \, μ$eV) with unprecedented sensitivity. This will enable searches for dark matter and other physics beyond the Standard Model, of which we study four cases: axions, dark photons, dark matter subhalos and neutrino masses. We forecast DSA-2000's potential to detect axions through two mechanisms in neutron star magnetospheres: photon conversion of axion dark matter and radio emission from axion clo…

Self-adjoint operators in Z-stable C$^*$-algebras with prescribed spectral data
Andrew S. Toms, Hao Wan
https://arxiv.org/abs/2505.22448 https://

Self-adjoint operators in Z-stable C$^*$-algebras with prescribed spectral data
We consider the variety of spectral measures that are induced by quasitraces on the spectrum of a self-adjoint operator in a simple separable unital and Z-stable C$^*$-algebra. This amounts to a continuous map from the simplex of quasitraces of the C$^*$-algebra into regular Borel probability measures on the spectrum of the operator under consideration. In the case of a connected spectrum this data determines the unitary equivalence class of the operator, and may be reduced to to the case of an…

This https://arxiv.org/abs/2411.09862 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Schubert cells and Whittaker functionals for $\text{GL}(n,\mathbb{R})$ part II: Existence via integration by parts
We give a new proof of the existence of Whittaker functionals for principal series representation of $\text{GL}(n,\mathbb{R})$, utilizing the analytic theory of distributions. We realize Whittaker functionals as equivariant distributions on $\text{GL}(n,\mathbb{R})$, whose restriction to the open Schubert cell is unique up to a constant. Using a birational map on the Schubert cells, we show that the unique distribution on the open Schubert cell extends to a distribution on the entire space $\te…

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 …

Supermarket chain Lidl is making its heavy-duty vehicle chargers at depots in the Netherlands available to other truck users by prior arrangement. This is a great way to increase charger (and on-site renewables!) utilisation and extend truck charging options!
https://corporate.lidl.nl/duurzaamheid

This https://arxiv.org/abs/2301.10980 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

Beyond scalar quasi-arithmetic means: Quasi-arithmetic averages and quasi-arithmetic mixtures in information geometry
We generalize quasi-arithmetic means beyond scalars by considering the gradient map of a Legendre type real-valued function. The gradient map of a Legendre type function is proven strictly comonotone with a global inverse. It thus yields a generalization of strictly mononotone and differentiable functions generating scalar quasi-arithmetic means. Furthermore, the Legendre transformation gives rise to pairs of dual quasi-arithmetic averages via the convex duality. We study the invariance and equ…

This https://arxiv.org/abs/2502.00168 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Supervised Quadratic Feature Analysis: Information Geometry Approach for Dimensionality Reduction
Supervised dimensionality reduction aims to map labeled data to a low-dimensional feature space while maximizing class discriminability. Directly computing discriminability is often impractical, so an alternative approach is to learn features that maximize a distance or dissimilarity measure between classes. The Fisher-Rao distance is an important information geometry distance in statistical manifolds. It is induced by the Fisher information metric, a tool widely used for understanding neural r…

This https://arxiv.org/abs/2501.04357 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Generators of top cohomology
Let $R$ be a commutative noetherian ring and $f: X \to \mathrm{Spec} R$ a proper smooth morphism, of relative dimension $n$. From Hartshorne, Residues and Duality, Springer, 1966, one knows that the trace map $\mathrm{Tr}_f : \mathrm{H}^n(X, ω_{X/R}) \to R$ is an isomorphism when $f$ has geometrically connected fibres. We construct an exact sequence that generates $\mathrm{Ext}_X^n(\mathcal{O}_X, ω_{X/R}) = \mathrm{H}^n(X, ω_{X/R})$ as an $R$-module in the following cases: (1) when $R$ is…

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…

#PhDCongratulations! 🥳 Philipp Löschl of the #IMPRS “Solar System School” has successfully defended his PhD thesis
“Science Preparation for SO/PHI: Building the First Multi-View Synoptic Map with SO/PHI and SDO/HMI”. ‪🌞
@…

FlexPainter: Flexible and Multi-View Consistent Texture Generation
Dongyu Yan, Leyi Wu, Jiantao Lin, Luozhou Wang, Tianshuo Xu, Zhifei Chen, Zhen Yang, Lie Xu, Shunsi Zhang, Yingcong Chen
https://arxiv.org/abs/2506.02620

FlexPainter: Flexible and Multi-View Consistent Texture Generation
Texture map production is an important part of 3D modeling and determines the rendering quality. Recently, diffusion-based methods have opened a new way for texture generation. However, restricted control flexibility and limited prompt modalities may prevent creators from producing desired results. Furthermore, inconsistencies between generated multi-view images often lead to poor texture generation quality. To address these issues, we introduce \textbf{FlexPainter}, a novel texture generation …

Non-archimedean periods for log Calabi-Yau surfaces
Soham Karwa, Jonathan Lai
https://arxiv.org/abs/2506.01651 https://arxiv.org/pdf/…

Non-archimedean periods for log Calabi-Yau surfaces
We prove the first instance of a conjecture by Kontsevich-Soibelman that the non-archimedean period map recovers the analytic periods in the case of log Calabi-Yau surfaces. In particular, we show that the K-affine structure, a natural enhancement of the singular integral affine structure on the essential skeleton, determines the isomorphism type of the log Calabi-Yau surface.

Counting the number of $\mathbb{Z}_{p}$-and $\mathbb{F}_{p}[t]$-fixed points of a discrete dynamical system with applications from arithmetic statistics, III
Brian Kintu
https://arxiv.org/abs/2505.24565

Counting the number of $\mathbb{Z}_{p}$-and $\mathbb{F}_{p}[t]$-fixed points of a discrete dynamical system with applications from arithmetic statistics, III
In this follow-up paper, we again inspect a surprising relationship between the set of fixed points of a polynomial map $φ_{d, c}$ defined by $φ_{d, c}(z) = z^d + c$ for all $c, z \in \mathcal{O}_{K}$ or $c, z \in \mathbb{Z}_{p}$ or $c, z \in \mathbb{F}_{p}[t]$ and the coefficient $c$, where $K$ is any number field (not necessarily real) of degree $n > 1$, $p>2$ is any prime integer, and $d>2$ is an integer. As in \cite{BK1,BK2} we again wish to study here counting problems that are inspired …

This https://arxiv.org/abs/2303.17191 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the continuity of Følner averages
It is known that if each point $x$ of a dynamical system is generic for some invariant measure $μ_x$, then there is a strong connection between certain ergodic and topological properties of that system. In particular, if the acting group is abelian and the map $x\mapsto μ_x$ is continuous, then every orbit closure is uniquely ergodic. In this note, we show that if the acting group is not abelian, orbit closures may well support more than one ergodic measure even if $x\mapsto μ_x$ is contin…

Nice (laudatory) hairpin work #N672CP

This https://arxiv.org/abs/2505.18378 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Metallicities of old open clusters: a new Galactic map
Old open clusters can constrain the chemical evolution of the Galactic disc through their metallicity gradients and age-metallicity relation but they suffer from low statistics. This work aims to determine precise and homogeneous metallicities for a number of old ($\geq$ 500 Myr) clusters from all-sky catalogues of stellar parameters leveraging Gaia spectrophotometry. Our purpose was to revisit the metallicity distribution of the oldest open clusters as a function of their Galactic position and…

This https://arxiv.org/abs/2503.05960 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The Six-Vertex Yang-Baxter Groupoid
A parametrized Yang-Baxter equation is usually defined to be a map from a group to a set of R-matrices, satisfying the Yang-Baxter commutation relation. These are a mainstay of solvable lattice models. We will show how the parameter space can sometimes be enlarged to a groupoid, and give two examples of such groupoid parametrized Yang-Baxter equations, within the six vertex model. A groupoid parametrized Yang-Baxter equation consists of a groupoid $\mathfrak{G}$ together with a map $π:\mathfra…

Finite-time scaling on low-dimensional map bifurcations
Daniel A. Martin, Qian-Yuan Tang, Dante R. Chialvo
https://arxiv.org/abs/2505.24673 https://…

Finite-time scaling on low-dimensional map bifurcations
Recent work has introduced the concept of finite-time scaling to characterize bifurcation diagrams at finite times in deterministic discrete dynamical systems, drawing an analogy with finite-size scaling used to study critical behavior in finite systems. In this work, we extend the finite-time scaling approach in several key directions. First, we present numerical results for 1D maps exhibiting period-doubling bifurcations and discontinuous transitions, analyzing selected paradigmatic examples.…

Nach einem Brandanschlag auf ein Umspannwerk(?) in Südfrankreich ist dort das Netz teilweise zusammengebrochen. Zeitweise waren mehr als 160k Haushalte betroffen, u.A. auch in Cannes, wo grade das gleichnamige Filmfestival stattfindet.
Spekulation: Dürfte im Bereich Poste électrique du Biançon gewesen sein. Wichtiger Knotenpunkt mit 400/225kV und nem 20MW Wasserkraftwerk (Barrage de Saint-Cassien) dran.

This https://arxiv.org/abs/2504.15207 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Parametric Gromov width of Liouville domains
The classical Gromov width measures the largest symplectic ball embeddable into a symplectic manifold; inspired by the symplectic camel problem, we generalize this to ask how large a symplectic ball can be embedded as a family over a parameter space $N$. Given a smooth map $f: N \to Ω$, where $Ω$ is a symplectic manifold, we define the \emph{parametric Gromov width} $\mathrm{Gr}(f,Ω)$ as the supremum of capacities $a>0$ for which there exists a family of balls, parametrized by $N$, of capaci…

Spectroscopic Mapping of Callisto with HST/STIS and Implications for its Surface Composition
M. Ryleigh Davis, Samantha K. Trumbo, Michael E. Brown, Matthew Belyakov
https://arxiv.org/abs/2506.00151

Spectroscopic Mapping of Callisto with HST/STIS and Implications for its Surface Composition
We present global, spatially resolved ultraviolet-visible spectra of Callisto obtained with HST/STIS and explore possible compositions of Callisto's surface material. We map the strength of a widespread downturn toward the near-UV and the NIR spectral slope from 700 to 1000 nm, which varies from slightly blue (reflectance decreasing from 700 to 1000 nm) to red (reflectance increasing) across Callisto's surface. Globally, bright water-ice-rich regions tend to have neutral or blue NIR slopes and …

Boggles my mind that I can, on a whim, take a day trip to see my favorite building in the world at a great price with several fast trains *per hour*. (Why on a whim? Because I never even considered it, based on the map.) Italian rail is quite something. #Italy25

Really not a fan of this watch. I sort of hate it a bit. I knew I wouldn't like it before I bought it. I actually bought it mainly to check on some things and see how #Skmei is progressing in certain areas. However even with my low expectations it is disappointing.

This https://arxiv.org/abs/2505.02093 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCE_…

A Deep Learning-Aided Approach for Estimating Field Permeability Map by Fusing Well Logs, Well Tests, and Seismic Data
Obtaining reliable permeability maps of oil reservoirs is crucial for building a robust and accurate reservoir simulation model and, therefore, designing effective recovery strategies. This problem, however, remains challenging, as it requires the integration of various data sources by experts from different disciplines. Moreover, there are no sources to provide direct information about the inter-well space. In this work, a new method based on the data-fusion approach is proposed for predicting…

The shortest path to Sat' @…
First posted in 2013
I'm wondering: How much are the paths different today?

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…

This https://arxiv.org/abs/2504.05655 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multi-bubble solutions for the Dirichlet problem of the $H$-system with higher degree
We consider a Dirichlet problem of the $H$-system \begin{equation*} \begin{cases} Δv = 2v_x\wedge v_y ~& \text{ in }\mathcal{D},\\ v=\varepsilon \tilde g ~& \text{ on }\partial{\mathcal{D}}, \end{cases} \end{equation*} where $\mathcal D\subset \mathbb{R}^2$ is the unit disk, $v:\mathcal D\to \mathbb{R}^3$, and $\tilde g:\partial \mathcal D\to \mathbb{R}^3$ is a given smooth map. As $\varepsilon\to 0^+$, we construct multi-bubble solutions concentrating at distinct points, taking around each po…

Done mapping all 10 #barangays of Hadji Muhtamad, Basilan, #Philippines 🇵🇭 in #OpenStreetMap, creating their #Wikidata

"MAPPED: 70 Percent of Trump’s Cabinet Tied to Project 2025 Groups"
#US #USA #America #Climate

MAPPED: 70 Percent of Trump’s Cabinet Tied to Project 2025 Groups
More than 50 high-level Trump administration officials have links to groups behind the Heritage Foundation-backed plan, a DeSmog analysis found.

This https://arxiv.org/abs/2407.10145 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Simplifying generic smooth maps to the 2-sphere and to the plane
We study how to construct explicit deformations of generic smooth maps from closed $n$--dimensional manifolds $M$ with $n \geq 2$ to the $2$--sphere $S^2$ and show that every smooth map $M \to S^2$ is homotopic to a $C^\infty$ stable map with at most one cusp point and with only folds of the middle absolute index. Furthermore, if $n$ is even, such a $C^\infty$ stable map can be so constructed that the restriction to the singular point set is a topological embedding. As a corollary, we show that…

This https://arxiv.org/abs/2408.03431 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Compactifications of phylogenetic systems and species of electrical networks
We describe new spaces and maps. Our graphical map is a visual and numerical correspondence between spaces of circular electrical networks and circular planar split systems. When restricted to the planar circular electrical case, this graphical map finds the split system uniquely associated with the Kalmanson resistance distance of the dual network, matching the induced split system familiar from phylogenetics. This correspondence is extended to compactifications of the respective spaces, takin…

Hey @… - I had a couple of mapping nerds (I include myself in that category) ask about how the hexagon electoral map is created. Is there an explanation anywhere? Loved it in https://www.

Where the election will be won and lost — or maybe left hanging
The electoral maths on Saturday seems simple — win 76 seats and you win government. But that's not all there is to it.

Dicritical divisors and hypercurvettes
Enrique Artal Bartolo, Willem Veys
https://arxiv.org/abs/2505.24648 https://arxiv.org/pdf/2505…

Dicritical divisors and hypercurvettes
Germs of rational functions~$h$ on points $p$ of smooth varieties~$S$ define germs of rational maps to the projective line. Assume that $p$ is in the indeterminacy locus of $h$. If $π:\hat{S}\to S$ is a birational map which is an isomorphism outside $p$, then $h$ lifts to a germ of a rational map on $(\hat{S}, π^{-1}(p))$. The exceptional components $E_i$ of $π^{-1}(p)$ are classified according to the restriction of (the lift of) $h$ to $E_i$; the dicritical components are those where this r…

This https://arxiv.org/abs/2303.08082 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quantum traces for $SL_n$-skein algebras
We establish the existence of several quantum trace maps. The simplest one is an algebra map between two quantizations of the algebra of regular functions on the $SL_n$-character variety of a surface $\mathfrak{S}$ equipped with an ideal triangulation $λ$. The first is the (stated) $SL_n$-skein algebra $\mathscr{S}(\mathfrak{S})$. The second $\overline{\mathcal{X}}(\mathfrak{S},λ)$ is the Fock and Goncharov's quantization of their $X$-moduli space. The quantum trace is an algebra homomorphism…

Fluid Simulation on Vortex Particle Flow Maps
Sinan Wang, Junwei Zhou, Fan Feng, Zhiqi Li, Yuchen Sun, Duowen Chen, Greg Turk, Bo Zhu
https://arxiv.org/abs/2505.21946

Fluid Simulation on Vortex Particle Flow Maps
We propose the Vortex Particle Flow Map (VPFM) method to simulate incompressible flow with complex vortical evolution in the presence of dynamic solid boundaries. The core insight of our approach is that vorticity is an ideal quantity for evolution on particle flow maps, enabling significantly longer flow map distances compared to other fluid quantities like velocity or impulse. To achieve this goal, we developed a hybrid Eulerian-Lagrangian representation that evolves vorticity and flow map qu…

Ultrafast electron dynamics upon above band-gap excitation in epitaxial LaFeO$_3$(001) thin films
Friederike Elisa W\"uhrl, Antonia Rieche, Anne Oelschl\"ager, Kathrin D\"orr, Wolf Widdra
https://arxiv.org/abs/2505.24809

Ultrafast electron dynamics upon above band-gap excitation in epitaxial LaFeO$_3$(001) thin films
Strong electron correlations in perovskite oxides give rise to rich and often unexpected electronic phenomena. In this study, we present a comprehensive surface-science investigation of epitaxial thin films of the charge-transfer insulator LaFeO$_3$(001). The characterization includes low-energy electron diffraction (LEED), high-resolution electron energy loss spectroscopy (HREELS), and photoemission spectroscopy. We map both the occupied and unoccupied electronic states using two-photon photoe…

A stylized map of #Manila, #Philippines 🇵🇭 on the wall at the Sheraton Manila Bay's restaurant.
#MapsInTheWild

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 $q$…

Chemical tagging of tidal tail star candidates of NGC 6362
Andr\'es E. Piatti
https://arxiv.org/abs/2505.24522 https://arxiv.org/…

Chemical tagging of tidal tail star candidates of NGC 6362
The inner Milky Way disk globular cluster NGC~6362 appears to exhibit tidal tails composed of stars that have proper motions and positions in the color-magnitude diagram similar to those of cluster stars. Because recent results seem also to show that these stars are distributed across the regions least affected by interstellar absorption and reproduce the observed composite star field density map, we carried out a detailed spectroscopic analysis of a number of chemical element abundances of tid…

This https://arxiv.org/abs/2505.12364 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On a Riemann-Roch formula for stacks with finite cyclotomic inertia
B. Toen defined a Riemann-Roch map from the rational algebraic K-theory of a tame Deligne-Mumford quotient stack to the étale K-theory of its inertia. He proved that this map is an isomorphism and that it is covariant with respect to proper maps. Moreover G. Vezzosi and A. Vistoli proved a decomposition theorem for the equivariant K-theory of a noetherian scheme. In this paper we give a geometric definition of the Vezzosi-Vistoli decomposition, interpreting the pieces as corresponding to the c…

SLOW RIDE ALERT!
Thursday, March 20! -- NEW PARK, NEAT ART!
Meet at 5:30, Roll at 6 @ Dolores Park
Bike through GGP, Great Highway, to Clement Street Art Walk via Slow Streets

SLOW RIDE ALERT!
Thursday, March 20! -- NEW PARK, NEAT ART!
Meet at 5:30, Roll at 6 @ Dolores Park
Bike through GGP, Great Highway, to Clement Street Art Walk via Slow Streets

Uniqueness of free 2-periodicities of links
Ken'ichi Yoshida
https://arxiv.org/abs/2505.22282 https://arxiv.org/pdf/2505.22282

Uniqueness of free 2-periodicities of links
We show that if two links in the real projective 3-space $\mathbb{RP}^{3}$ have isotopic preimages in the 3-sphere $S^{3}$ by the double covering map, then they are themselves isotopic in $\mathbb{RP}^{3}$.