Tootfinder

Inversions Tableaux
Ilani Axelrod-Freed
https://arxiv.org/abs/2507.11516 https://arxiv.org/pdf/2507.11516

Inversions Tableaux
We introduce inversions tableaux, a new combinatorial model for Schubert polynomials and Stanley-symmetric that directly specialize to semi-standard Young tableaux in the Grassmannian case. They are a modification of the balanced staircase tableaux of Edelman and Greene. We explicitly describe inversions tableaux that correspond to the lexicographically minimal and maximal monomials in each Schubert polynomial and characterize the unique inversions tableau for dominant permutations. We also def…

Extract tables from pdfs with {tabulapdf} #rstats #datasciece

SPHENIC: Topology-Informed Multi-View Clustering for Spatial Transcriptomics
Chenkai Guo, Yikai Zhu, Jing Yangum, Renxiang Guan, Por Lip Yee, Guangdun Peng, Dayu Hu
https://arxiv.org/abs/2508.10646

SPHENIC: Topology-Informed Multi-View Clustering for Spatial Transcriptomics
By incorporating spatial location information, spatial-transcriptomics clustering yields more comprehensive insights into cell subpopulation identification. Despite recent progress, existing methods have at least two limitations: (i) topological learning typically considers only representations of individual cells or their interaction graphs; however, spatial transcriptomic profiles are often noisy, making these approaches vulnerable to low-quality topological signals, and (ii) insufficient mod…

A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell, Y. P\'eresse
https://arxiv.org/abs/2506.11500 https://

A note on intrinsic topologies of groups
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. Answering a question by Dikranjan and Toller, we show that there exists a countable abelian group in which no bounded version of the Zariski topology coincides with the full Zariski topology. Complementing a recent result by Goffe and Greenfeld, we show that on any group with no algebraicity the semigroup Zariski topo…

SharpLink Gaming, a Nasdaq-listed online gambling marketing company, becomes the largest corporate ether holder with 280,706 ETH, surpassing Ethereum Foundation (Naga Avan-Nomayo/The Block)
https://www.theblock.co/post/362693/sharplink-amasse…

Gluing topological graph C*-algebras
Atul Gothe, John Quigg, Mariusz Tobolski
https://arxiv.org/abs/2506.11592 https://arxiv.org/pdf/…

Gluing topological graph C*-algebras
We introduce regular closed subgraphs of Katsura's topological graphs and use them to generalize the notion of an adjunction space from topology. Our construction attaches a topological graph onto another via a regular factor map. In our main theorem, we prove that under suitable assumptions the C*-algebra of the adjunction graph is a pullback of the C*-algebras of the topological graphs being glued. It generalizes (and slightly improves) the pushout-to-pullback theorem proved in the context of…

Stochastic Entanglement Configuration for Constructive Entanglement Topologies in Quantum Machine Learning with Application to Cardiac MRI
Mehri Mehrnia, Mohammed S. M. Elbaz
https://arxiv.org/abs/2507.11401

Stochastic Entanglement Configuration for Constructive Entanglement Topologies in Quantum Machine Learning with Application to Cardiac MRI
Efficient entanglement strategies are essential for advancing variational quantum circuits (VQCs) for quantum machine learning (QML). However, most current approaches use fixed entanglement topologies that are not adaptive to task requirements, limiting potential gains over classical models. We introduce a novel stochastic entanglement configuration method that systematically generates diverse entanglement topologies to identify a subspace of constructive entanglement configurations, defined as…

🇺🇦 Auf radioeins läuft...
Theophilus London feat. Ariel Pink:
🎵 Revenge
#NowPlaying #TheophilusLondon #ArielPink

Large implies henselian
Will Johnson, Chieu-Minh Tran, Erik Walsberg, Jinhe Ye
https://arxiv.org/abs/2508.10886 https://arxiv.org/pdf/2508.10886

Large implies henselian
Fix a field $K$. We show that $K$ is large if and only if some elementary extension of $K$ is the fraction field of a henselian local domain which is not a field. The proof uses a new result about the étale-open topology over $K$: if $K$ is not separably closed and $V \to W$ is an étale morphism of $K$-varieties then $V(K) \to W(K)$ is a local homeomorphism in the étale-open topology. This, in turn, follows from results comparing the étale-open topology on $V(K)$ and the finite-closed topol…

Crypto PAC Fairshake says it has raised $109M since the US elections in November 2024, and $52M in H1 2025, as it prepares for the 2026 US midterm elections (Sarah Wynn/The Block)
https://www.theblock.co/post/362685/crypto