Tootfinder

A representation embedding for algebras of infinite type
Raymundo Bautista Ramos, Jes\'us Efr\'en P\'erez Terrazas, Leonardo Salmer\'on Castro
https://arxiv.org/abs/2406.03370

A representation embedding for algebras of infinite type
We show that for any finite-dimensional algebra $Λ$ of infinite representation type, over a perfect field, there is a bounded principal ideal domain $Γ$ and a representation embedding from $Γ-$mod into $Λ-$mod. As an application, we prove a variation of the Brauer-Trall Conjecture II: finite-dimensional algebras of infinite-representation type admit infinite families of non-isomorphic finite-dimensional indecomposables with fixed endolength, for infinitely many endolengths.

Energy efficiency: a Lattice Boltzmann study
Matteo Turisini, Giorgio Amati, Andrea Acquaviva
https://arxiv.org/abs/2406.11498 https://

Energy efficiency: a Lattice Boltzmann study
The energy consumption and the compute performance of a fluid dynamic code have been investigated varying parallelization approach, arithmetic precision and clock speed. The code is based on a Lattice Boltzmann approximation, is written in Fortran and was executed on high-end GPUs of Leonardo Booster supercomputer. Tests were conducted on single server nodes (up to 4 GPUs in parallel). Performance metrics like the number of operations per second and energy consumption are reported, to quantify …

Exact Sparse Representation Recovery in Signal Demixing and Group BLASSO
Marcello Carioni, Leonardo Del Grande
https://arxiv.org/abs/2406.09922 https://

Exact Sparse Representation Recovery in Signal Demixing and Group BLASSO
In this short article we present the theory of sparse representations recovery in convex regularized optimization problems introduced in (Carioni and Del Grande, arXiv:2311.08072, 2023). We focus on the scenario where the unknowns belong to Banach spaces and measurements are taken in Hilbert spaces, exploring the properties of minimizers of optimization problems in such settings. Specifically, we analyze a Tikhonov-regularized convex optimization problem, where $y_0$ are the measured data, $w$ …

Spin excitations in Nd1-xSrxNiO2 and YBa2Cu3O7-delta: the influence of Hubbard U
Francesco Rosa, Leonardo Martinelli, Guillaume Krieger, Lucio Braicovich, Nicholas B. Brookes, Giacomo Merzoni, Marco Moretti Sala, Flora Yakhou-Harris, Riccardo Arpaia, Daniele Preziosi, Marco Salluzzo, Maciej Fidrysiak, Giacomo Ghiringhelli
https://

Spin excitations in Nd1-xSrxNiO2 and YBa2Cu3O7-delta: the influence of Hubbard U
We use Resonant Inelastic X-ray Scattering (RIXS) to compare the doping dependence of magnetic excitations of an Infinite-Layer nickelate to those of a prototypical superconducting cuprate. The polarization analysis of RIXS spectra establishes the dominant spin-flip nature of the mid-infrared peak in both cases. Hole doping leads to opposite behavior of the magnetic energy in the two materials. By fitting the data with an original Hubbard-based model for dynamic susceptibility, we find that t i…

Shape patterns in popularity series of video games
Leonardo R. Cunha, Arthur A. B. Pessa, Renio S. Mendes
https://arxiv.org/abs/2406.10241 https://<…

Shape patterns in popularity series of video games
In recent years, digital games have become increasingly present in people's lives both as a leisure activity or in gamified activities of everyday life. Despite this growing presence, large-scale, data-driven analyses of video games remain a small fraction of the related literature. In this sense, the present work constitutes an investigation of patterns in popularity series of video games based on monthly popularity series, spanning eleven years, for close to six thousand games listed on the o…

Cascading upper bounds for triangle soup Pompeiu-Hausdorff distance
Leonardo Sacht, Alec Jacobson
https://arxiv.org/abs/2406.10357 https://

Gravitational lensing by a generalised-NFW halo via the Fox $H$-function and its application to the super-NFW
Daniel Alexdy Torres-Ballesteros, Leonardo Casta\~neda
https://arxiv.org/abs/2406.07695

Gravitational lensing by a generalised-NFW halo via the Fox $H$-function and its application to the super-NFW
For a particular generalised-NFW (gNFW) mass distribution, we derive analytical expressions for its surface mass density, projected mass, and deflection potential, given in terms of three representations of the Fox $H$-function, for which we provide their corresponding power (logarithmic) series expansions. They are handy in computationally intensive tasks. From these results, we obtain closed-form expressions for the super-NFW (sNFW) in terms of complete elliptic functions, which have not yet …

Periodic orbits of non-degenerate lacunary contact forms on prequantization bundles
Miguel Abreu, Leonardo Macarini
https://arxiv.org/abs/2406.08462 https:…

Periodic orbits of non-degenerate lacunary contact forms on prequantization bundles
A non-degenerate contact form is lacunary if the indexes of every contractible periodic Reeb orbit have the same parity. To the best of our knowledge, every contact form with finitely many periodic orbits known so far is non-degenerate and lacunary. We show that every non-degenerate lacunary contact form on a suitable prequantization of a closed symplectic manifold $B$ has precisely $r_B$ contractible closed orbits, where $r_B=\dim \mathrm{H}_*(B;{\mathbb Q})$. Examples of such prequantizations…

The Star-Forming Main Sequence in JADES and CEERS at $z>1.4$: Investigating the Burstiness of Star Formation
Leonardo Clarke, Alice E. Shapley, Ryan L. Sanders, Michael W. Topping, Gabriel B. Brammer, Trinity Bento, Naveen A. Reddy, Emily Kehoe
https://arxiv.org/abs/2406.05178

The Star-Forming Main Sequence in JADES and CEERS at $z>1.4$: Investigating the Burstiness of Star Formation
We have used public JWST/NIRSpec and JWST/NIRCam observations from the CEERS and JADES surveys in order to analyze the star-forming main sequence (SFMS) over the redshift range $1.4 \leq z < 7$. We calculate the star-formation rates (SFRs) of the galaxy sample using three approaches: Balmer line luminosity, spectral energy distribution (SED) fitting, and UV luminosity. We find a larger degree of scatter about the SFMS using the Balmer-based SFRs compared to the UV-based SFRs. Because these SFR …

Freezing, melting and the onset of glassiness in binary mixtures
Daniele Coslovich, Leonardo Galliano, Lorenzo Costigliola
https://arxiv.org/abs/2406.04921

Freezing, melting and the onset of glassiness in binary mixtures
We clarify the relationship between freezing, melting and the onset of glassy dynamics in the prototypical glass-forming Kob-Andersen mixture. Our starting point is a precise definition of the onset of glassiness, as expressed by the emergence of an inflection in the time-dependent correlation functions. By scanning the temperature-composition phase diagram of the model, we find that the onset temperature barely varies with concentration, unlike the freezing temperature, which shows a marked dr…