Tootfinder

Coherent states of finite-level systems
A. I. Breev, D. M. Gitman
https://arxiv.org/abs/2506.10668 https://arxiv.org/pdf/2506.10668…

Coherent states of finite-level systems
A method for constructing coherent states (CS) of finite-level systems with a given angular momentum is proposed. To this end we generalize the known spin equation (SE) to an infinite-dimensional Fock space. The equation describes a special quadratic system in the latter space. Its projections on $d$-dimensional subspaces, represent analogs of SE for $d$-dimensional systems in an external electromagnetic field which describe $d$-dimensional systems with a given angular moment. Using a modificat…

Texas Court Seals Records in Ken Paxton's Divorce Case (J. David Goodman/New York Times)
https://www.nytimes.com/2025/07/12/us/texas-ag-paxton-divorce-records.html
http://www.memeorandum.com/250712/p44#a250712p44

On the $4$-clique cover number of graphs
Yihan Chen, Jialin He, Tianying Xie
https://arxiv.org/abs/2506.10478 https://arxiv.org/pdf/2…

On the $4$-clique cover number of graphs
In 1966, Erdős, Goodman, and Pósa proved that $\lfloor n^2/4 \rfloor$ cliques are sufficient to cover all edges in any $n$-vertex graph, with tightness achieved by the balanced complete bipartite graph. This result was generalized by Dau, Milenkovic, and Puleo, who showed that at most $\lfloor \frac n 3 \rfloor \lfloor \frac {n+1} 3 \rfloor \lfloor \frac {n+2} 3 \rfloor$ cliques are needed to cover all triangles in any $n$-vertex graph $G$, and the bound is best possible as witnessed by the b…

An Earth-Sized Planet in a 5.4h Orbit Around a Nearby K dwarf
Kaya Han Ta\c{s}, Gudmundur Stefansson, Syarief N. M. Fariz, Esha Garg, Juan I. Espinoza-Retamal, Elise Koo, David Bruijne, Jacob Luhn, Eric B. Ford, Suvrath Mahadevan, Sarah E. Logsdon, Caleb I. Ca\~nas, Te Han, Mark E. Everett, Jaime A. Alvarado-Montes, Cullen Blake, William D. Cochran, Jiayin Dong, Rachel B. Fernandes, Mark R. Giovinazzi, Samuel Halverson, Shubham Kanodia, Daniel Krolikowski, Michael McElwain, Joe Ninan, …

An Earth-Sized Planet in a 5.4h Orbit Around a Nearby K dwarf
We present the discovery and confirmation of the ultra-short period (USP) planet TOI-2431 b orbiting a nearby ($d\sim36$ pc) late K star ($T_{\mathrm{eff}}$ = $4109 \pm 28 \, {\rm K}$) using observations from the Transiting Exoplanet Survey Satellite (TESS), precise radial velocities with the NEID and the Habitable-zone Planet Finder (HPF) spectrographs, as well as ground-based high contrast imaging from NESSI. TOI-2431 b has a period of 5 hours and 22 minutes, making it one of the shortest-per…

CFMI: Flow Matching for Missing Data Imputation
Vaidotas Simkus, Michael U. Gutmann
https://arxiv.org/abs/2506.09258 https://arxiv.or…

CFMI: Flow Matching for Missing Data Imputation
We introduce conditional flow matching for imputation (CFMI), a new general-purpose method to impute missing data. The method combines continuous normalising flows, flow-matching, and shared conditional modelling to deal with intractabilities of traditional multiple imputation. Our comparison with nine classical and state-of-the-art imputation methods on 24 small to moderate-dimensional tabular data sets shows that CFMI matches or outperforms both traditional and modern techniques across a wide…

Godement--Jacquet L-function and homological theta lifting
Rui Chen, Yufeng Li, Xiaohuan Long, Chenhao Tang, Jialiang Zou
https://arxiv.org/abs/2507.07531 …

Godement--Jacquet L-function and homological theta lifting
In this paper we investigate the theta lifting of type II dual pairs over a non-Archimedean local field, by combining the homological method of Adams--Prasad--Savin and the analytic method of Fang--Sun--Xue. We have three main results: 1. we determine completely the big theta lift of an irreducible representation when its Godement--Jacquet L-function is holomorphic at a critical point; 2. we compute the big theta lift of all characters, hence determine the space of eigendistributions on matrix …

https://www.enworld.org/threads/goodman-games-our-efforts-have-been-mischaracterized.713653/
Goodman: "Unfortunately, our efforts have been—you know, I didn’t clarify them perfectly when we rolled it out—and they've …

This https://arxiv.org/abs/2310.16918 has been replaced.
initial toot: https://mastoxiv.page/@a…

Geodynamics and artificial gravity in space-time crystals under slow perturbation and deformation
We present a theory of geodynamics in a space-time crystal based on an event wave packet constructed from the Floquet-Bloch waves, which not only involve a scalar dispersion function but also a Berry curvature tensor in the phase space manifold of space-time and the reciprocal quasi energy-momentum. In the presence of structural deformation, this theory is naturally extended into a covariant form with the introduction of a lattice connection constructed out of the gradients of the local lattice…

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Marcel Tournier, Erica Goodman & Amadeus Ensemble Rotterdam:
🎵 Images for harp and string quartet, Op 35
#MarcelTournier #EricaGoodman #AmadeusEnsembleRotterdam

TOI-1259Ab: A Warm Jupiter Orbiting a K-dwarf White-Dwarf Binary is on a Well-aligned Orbit
Hugo Veldhuis, Juan I. Espinoza-Retamal, Gudmundur Stefansson, Alexander P. Stephan, David V. Martin, David Bruijne, Suvrath Mahadevan, Joshua N. Winn, Cullen H. Blake, Fei Dai, Rachel B. Fernandes, Evan Fitzmaurice, Eric B. Ford, Mark R. Giovinazzi, Arvind F. Gupta, Samuel Halverson, Te Han, Daniel Krolikowski, Joe Ninan, Cristobal Petrovich, Paul Robertson, Arpita Roy, Christian Schwab, Ryan T…

TOI-1259Ab: A Warm Jupiter Orbiting a K-dwarf White-Dwarf Binary is on a Well-aligned Orbit
The evolution of one member of a stellar binary into a white dwarf has been proposed as a mechanism that triggers the formation of close-in gas giant planets. The star's asymmetric mass loss during the AGB stage gives it a "kick" that can initiate Eccentric Lidov-Kozai oscillations, potentially causing a planet around the secondary star to migrate inwards and perturbing the eccentricity and inclination of its orbit. Here we present a measurement of the stellar obliquity of TOI-1259Ab, a gas gia…