Tootfinder

Ukraine's 68th Jaeger Brigade says it 'destroyed entire Russian tank company': https://benborges.xyz/2024/06/14/ukraines-th-jaeger.html

Here’s @… says ng something I also keep repeating:
Big companies often •love• regulatory burden, because it keeps small entrants out of the market. https://…

They found the references before I was even out of bed. Which I missed because I was trying to find early-2000s projects where I know I was using print styles (but then I scrolled down on Masto and whoops). Anyway, I enjoy a good historical spelunking.
https://front-end.social/@mia/11261416

If everyone just mutes boosts, why don't we just disable it altogether? Together we can turn this place back into a no-engagement hellhole just like Twitter but without the Nazis!
I sure do miss yelling into the void!

rundum freudvoll

US Returns $156 Million Misappropriated 1MDB Funds to Malaysia (Anisah Shukry/Bloomberg)
https://www.bloomberg.com/news/articles/2024-06-14/us-returns-156-million-misappropriated-1mdb-funds-to-malaysia
http://www.memeorandum.com/240613/p77#a240613p77

Pistorius: Putins Atomdrohungen nicht zu ernst nehmen
Bundesverteidigungsminister Boris Pistorius sieht vorerst kein Eskalationsrisiko durch die Atomwaffen-Drohungen des russischen Präsidenten Wladimir Putin: "Wir dürfen uns nicht von jeder Äußerung von ihm ins Bockshorn jagen lassen", sagte er anlässlich eines Treffens der nuklearen Planungsgruppe der NATO in Brüssel. Putin habe eine besondere Art, einen hybriden Krieg zu fü…
📑

Ukraine-Liveblog: ++ EU einig über Beitrittsgespräche mit Ukraine ++
Die EU-Staaten haben sich laut der belgischen Ratspräsidentschaft auf Beitrittsgespräche mit der Ukraine und Moldau geeinigt. Die NATO hat 500.000 Soldaten in erhöhter Bereitschaft. Die Entwicklungen vom Freitag zum Nachlesen.

Suddenly concerned that maybe I’ve been reading too many books on resisting tech scumbaggery to be as easily employable in this technology field, without extrapolating too far into the future. 👀

Ich habe das auch schon bei FB in der Gruppe #Hoppegarten-#Neuenhagen und bei nebenan.de gepostet, aber warum nicht auch hier, auch wenn die Dichte an #Hönowern hier vermutlich nicht sonderlich…

Sahra #Wagenknecht bei #Maischberger: Kopfschütteln über so viel ideologiegetriebene Propaganda für Putin.

maischberger am 12.06.2024
Selenskyj in Berlin: Sollte Deutschland mehr Waffen liefern oder auf Verhandlungen mit Putin drängen? Darüber diskutieren: die Vorsitzende des BSW Sahra Wagenknecht und die deutsch-ukrainische Publizistin Marina Weisband. 13 Jahre lang war Klaus Wowereit Berlins Regierender Bürgermeister für die SPD: Wie blickt er auf die Ergebnisse der Europawahl und das schlechte Image von Kanzler Scholz? Er ist gleich zu Gast. Sie erklären, kommentieren und diskutieren der Moderator und Sportjournalist …

Ringdown signatures of Kerr black holes immersed in a magnetic field
Kate J. Taylor, Adam Ritz
https://arxiv.org/abs/2406.09314 https://

Ringdown signatures of Kerr black holes immersed in a magnetic field
We analyze the quasinormal mode spectrum for Kerr black holes surrounded by an asymptotically uniform magnetic field, modeled with the Ernst-Wild geometry. A perturbative expansion in both the rotation parameter $a$ and the magnetic field $B$ allows separation of the perturbation equations, and we obtain the spectrum for a variety of scalar quasinormal modes over a range of parameters using the continued fraction method. We then interpolate the low-lying mode spectrum to construct an Ernst-Wild…

The higher algebra of weighted colimits
Hadrian Heine
https://arxiv.org/abs/2406.08925 https://arxiv.org/pdf/2406.08925

The higher algebra of weighted colimits
We develop a theory of weighted colimits in the framework of weakly bi-enriched $\infty$-categories, an extension of Lurie's notion of enriched $\infty$-categories. We prove an existence result for weighted colimits, study weighted colimits of diagrams of enriched functors, express weighted colimits via enriched coends, characterize the enriched $\infty$-category of enriched presheaves as the free cocompletion under weighted colimits and develop a theory of universally adjoining weighted colimi…

[2024-06-14 Fri (UTC), 2 new articles found for q-bio.QM Quantitative Methods]

[2024-06-14 Fri (UTC), 12 new articles found for math.NT Number Theory]

Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
Attila Szabo, Santiago A. Grigera, P. C. W. Holdsworth, Ludovic D. C. Jaubert, Roderich Moessner, Demian G. Slobinsky, Mauricio Sturla, Rodolfo A. Borzi
https://arxiv.org/abs/2406.09336

Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
We investigate a simple variant of spin ice whose degenerate ground states are densely packed monopole configurations. An applied field drives this model through a Z2 confinement transition, in absence of any local order parameter. Instead, this hidden order turns out to be diagnosed by a string order invisible to any local probe. We describe the transition in terms of a bosonic field theory with a pairing term, as well as a Kramers-Wannier duality into a 3D Ising model, which establishes its Z…

SySTeC: A Symmetric Sparse Tensor Compiler
Radha Patel, Willow Ahrens, Saman Amarasinghe
https://arxiv.org/abs/2406.09266 https://arx…

SySTeC: A Symmetric Sparse Tensor Compiler
Symmetric and sparse tensors arise naturally in many domains including linear algebra, statistics, physics, chemistry, and graph theory. Symmetric tensors are equal to their transposes, so in the $n$-dimensional case we can save up to a factor of $n!$ by avoiding redundant operations. Sparse tensors, on the other hand, are mostly zero, and we can save asymptotically by processing only nonzeros. Unfortunately, specializing for both symmetry and sparsity at the same time is uniquely challenging. …

On Fox's trapezoidal conjecture
Soheil Azarpendar, Andr\'as Juh\'asz, Tam\'as K\'alm\'an
https://arxiv.org/abs/2406.08662 https://<…

On Fox's trapezoidal conjecture
We investigate Fox's trapezoidal conjecture for alternating links. We show that it holds for diagrammatic Murasugi sums of special alternating links, where all sums involved have length less than three (which includes diagrammatic plumbing). It also holds for links containing a large twist region, which we call twist-concentrated. Furthermore, we show some weaker inequalities between consecutive coefficients of the Alexander polynomial of an alternating 3-braid closure, and extend this to arbit…

This https://arxiv.org/abs/2402.13311 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Higher order corrections to KPV: The nonabelian brane stack perspective
In this work, we study the decay of $\overline{D3}$-branes in the setup of Kachru, Pearson, and Verlinde (KPV) at higher order in $α'$ from the perspective of a nonabelian $\overline{D3}$-brane stack. We extend the leading order analysis of KPV by including higher order commutators as well as higher derivative corrections. Recently, the KPV setup has been studied at higher order in $α'$ from the NS5-brane perspective. It was found that in order to control $α'$ corrections the quantity $g_sM^…

🔊 #NowPlaying on fip
Jones:
🎵 Believe
#Jones
https://michaelharris.bandcamp.com/track/vanessa-jones-believe-in-me-radio-edit

[2024-06-14 Fri (UTC), no new articles found for q-bio.MN Molecular Networks]

[2024-06-14 Fri (UTC), no new articles found for cs.DM Discrete Mathematics]

[2024-06-14 Fri (UTC), no new articles found for cs.MM Multimedia]

[2024-06-14 Fri (UTC), no new articles found for physics.atm-clus Atomic and Molecular Clusters]

[2024-06-14 Fri (UTC), 2 new articles found for math.QA Quantum Algebra]

[2024-06-14 Fri (UTC), no new articles found for math.KT K-Theory and Homology]

[2024-06-14 Fri (UTC), no new articles found for cs.DL Digital Libraries]

[2024-06-14 Fri (UTC), 1 new article found for q-bio.CB Cell Behavior]

[2024-06-14 Fri (UTC), 2 new articles found for physics.soc-ph Physics and Society]

[2024-06-14 Fri (UTC), 3 new articles found for math.LO Logic]

[2024-06-14 Fri (UTC), 13 new articles found for eess.SP Signal Processing]

Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds
Chunyi Li, Yinbang Lin, Laura Pertusi, Xiaolei Zhao
https://arxiv.org/abs/2406.09124

Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds
We study moduli spaces of stable objects in the Kuznetsov components of Fano threefolds. We prove a general non-emptiness criterion for moduli spaces, which applies to the cases of prime Fano threefolds of index $1$, degree $10 \leq d \leq 18$, and index $2$, degree $d \leq 4$. In the second part, we focus on cubic threefolds. We show the irreducibility of the moduli spaces, and that the general fibers of the Abel--Jacobi maps from the moduli spaces to the intermediate Jacobian are Fano varieti…

Sure. We need to love corporations. 🤦 🤪 https://yewtu.be/watch?v=TWVbZ0WQ3s8 or https://www.youtube.com/watch?v=TWVbZ0WQ…

rundum freudvoll

Curvature of \k{appa}-Poincare and Doubly Special Relativity
Nosratollah Jafari
https://arxiv.org/abs/2406.08514 https://arxiv.org/pd…

Curvature of \k{appa}-Poincare and Doubly Special Relativity
We study the \k{appa}-Poincare and the Magueijo-Smolin (MS) DSR in the context of the relative locality theory. This theory assigns connection, torsion and curvature to momentum space of every modified theory beyond special relativity. We obtain these quantities for the \k{appa}-Poincare and the MS DSR in all order of the Planck length, at the every point of the momentum space. The connection for the \k{appa}-Poincare theory and the MS DSR can be non-zero. The torsion for the \k{appa}-Poincare …

[2024-06-14 Fri (UTC), 1 new article found for math.CT Category Theory]

ALPHAGMUT: A Rationale-Guided Alpha Shape Graph Neural Network to Evaluate Mutation Effects
Boshen Wang, Bowei Ye, Lin Xu, Jie Liang
https://arxiv.org/abs/2406.09159

ALPHAGMUT: A Rationale-Guided Alpha Shape Graph Neural Network to Evaluate Mutation Effects
In silico methods evaluating the mutation effects of missense mutations are providing an important approach for understanding mutations in personal genomes and identifying disease-relevant biomarkers. However, existing methods, including deep learning methods, heavily rely on sequence-aware information, and do not fully leverage the potential of available 3D structural information. In addition, these methods may exhibit an inability to predict mutations in domains difficult to formulate sequenc…

On the existence of magic squares of powers
Nick Rome (with an appendix by Diyuan Wu), Shuntaro Yamagishi (with an appendix by Diyuan Wu)
https://arxiv.org/abs/2406.09364

On the existence of magic squares of powers
For any $d \geq 2$, we prove that there exists an integer $n_0(d)$ such that there exists an $n \times n$ magic square of $d^\text{th}$ powers for all $n \geq n_0(d)$. In particular, we establish the existence of an $n \times n$ magic square of squares for all $n \geq 4$, which settles a conjecture of Várilly-Alvarado. All previous approaches had been based on constructive methods and the existence of $n \times n$ magic squares of $d^\text{th}$ powers had only been known for sparse values of…

SySTeC: A Symmetric Sparse Tensor Compiler
Radha Patel, Willow Ahrens, Saman Amarasinghe
https://arxiv.org/abs/2406.09266 https://arx…

SySTeC: A Symmetric Sparse Tensor Compiler
Symmetric and sparse tensors arise naturally in many domains including linear algebra, statistics, physics, chemistry, and graph theory. Symmetric tensors are equal to their transposes, so in the $n$-dimensional case we can save up to a factor of $n!$ by avoiding redundant operations. Sparse tensors, on the other hand, are mostly zero, and we can save asymptotically by processing only nonzeros. Unfortunately, specializing for both symmetry and sparsity at the same time is uniquely challenging. …

This https://arxiv.org/abs/2402.13311 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Higher order corrections to KPV: The nonabelian brane stack perspective
In this work, we study the decay of $\overline{D3}$-branes in the setup of Kachru, Pearson, and Verlinde (KPV) at higher order in $α'$ from the perspective of a nonabelian $\overline{D3}$-brane stack. We extend the leading order analysis of KPV by including higher order commutators as well as higher derivative corrections. Recently, the KPV setup has been studied at higher order in $α'$ from the NS5-brane perspective. It was found that in order to control $α'$ corrections the quantity $g_sM^…

🔊 #NowPlaying on fip
Jones:
🎵 Believe
#Jones
https://michaelharris.bandcamp.com/track/vanessa-jones-believe-in-me-radio-edit

[2024-06-14 Fri (UTC), 8 new articles found for math.GT Geometric Topology]

[2024-06-14 Fri (UTC), no new articles found for cs.MM Multimedia]

[2024-06-14 Fri (UTC), 11 new articles found for cond-mat.str-el Strongly Correlated Electrons]

[2024-06-14 Fri (UTC), no new articles found for math.KT K-Theory and Homology]

Lob der Lupine

A Functorial Version of Chevalley's Theorem on Constructible Sets
Andreas Blatter
https://arxiv.org/abs/2406.09092 https://arxiv.…

A Functorial Version of Chevalley's Theorem on Constructible Sets
To determine whether an $n\times n$-matrix has rank at most $r$ it suffices to check that the $(r+1)\times (r+1)$-minors have rank at most $r$. In other words, to describe the set of $n\times n$-matrices with the property of having rank at most $r$, we only need the description of the corresponding subset of $(r+1)\times (r+1)$-matrices. We will generalize this observation to a large class of subsets of tensor spaces. A description of certain subsets of a high-dimensional tensor space can alway…

The $q$-Schur algebras in type $D$, I, fundamental multiplication formulas
Jie Du, Yiqiang Li, Zhaozhao Zhao
https://arxiv.org/abs/2406.09057 https://

@… Sieben Jahre (Seven Years): https://yewtu.be/watch?v=5K5PU7ATAtc or

[2024-06-14 Fri (UTC), 14 new articles found for gr-qc General Relativity and Quantum Cosmology]

Tokuryū (匿流)
https://jref.com/threads/tokuryū-匿流-a-new-type-of-organized-crime.660958/

Opportunities in deep learning methods development for computational biology
Alex Jihun Lee, Reza Abbasi-Asl
https://arxiv.org/abs/2406.08686 https://

Opportunities in deep learning methods development for computational biology
Advances in molecular technologies underlie an enormous growth in the size of data sets pertaining to biology and biomedicine. These advances parallel those in the deep learning subfield of machine learning. Components in the differentiable programming toolbox that makes deep learning possible are allowing computer scientists to address an increasingly large array of problems with flexible and effective tools. However many of these tools have not fully proliferated into the computational biolog…

On Arratia's coupling and the Dirichlet law for the factors of a random integer
Tony Haddad, Dimitris Koukoulopoulos
https://arxiv.org/abs/2406.09360 h…

On Arratia's coupling and the Dirichlet law for the factors of a random integer
Let $x \ge 2$, let $N_x$ be an integer chosen uniformly at random from the set $\mathbb Z \cap [1, x]$, and let $(V_1, V_2, \ldots)$ be a Poisson--Dirichlet process of parameter $1$. We prove that there exists a coupling of these two random objects such that $$ \mathbb E \, \sum_{i \ge 1} |\log P_i- V_i\log x| \ll 1, $$ where the implied constant is absolute and $N_x = P_1P_2 \cdots$ is the unique factorization of $N_x$ into primes or ones with the $P_i$'s being non-increasing. This e…

[2024-06-14 Fri (UTC), 2 new articles found for cs.MS Mathematical Software]

Topological roots of the Bernstein-Sato polynomial of plane curves
Guillem Blanco
https://arxiv.org/abs/2406.09034 https://arxiv.org/…

Topological roots of the Bernstein-Sato polynomial of plane curves
We study a set of topological roots of the local Bernstein-Sato polynomial of arbitrary plane curve singularities. These roots are characterized in terms of certain divisorial valuations and the numerical data of the minimal log resolution. In particular, this set of roots strictly contains both the opposites of the jumping numbers in $(0, 1)$ and the poles of the motivic zeta function counted with multiplicity. As a consequence, we prove the multiplicity part of the Strong Monodromy Conjecture…

Is every knot isotopic to the unknot?
Sergey A. Melikhov
https://arxiv.org/abs/2406.09365 https://arxiv.org/pdf/2406.09365

Is every knot isotopic to the unknot?
In 1974, D. Rolfsen asked: Is every knot in $S^3$ isotopic (=homotopic through embeddings) to a PL knot or, equivalently, to the unknot? In particular, is the Bing sling isotopic to a PL knot? We show that the Bing sling is not isotopic to any PL knot: (1) by an isotopy which extends to an isotopy of $2$-component links with $lk=1$; (2) through knots that are intersections of nested sequences of solid tori. There are also stronger versions of these results. In (1), the additional component ma…

Skein Categories in Non-semisimple Settings
Jennifer Brown, Benjamin Ha\"ioun
https://arxiv.org/abs/2406.08956 https://arxiv.org…

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…

This https://arxiv.org/abs/2406.02372 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Braided scalar quantum field theory
We formulate scalar field theories in a curved braided $L_\infty$-algebra formalism and analyse their correlation functions using Batalin-Vilkovisky quantization. We perform detailed calculations in cubic braided scalar field theory up to two-loop order and three-point multiplicity. The divergent tadpole contributions are eliminated by a suitable choice of central curvature for the $L_\infty$-structure, and we confirm the absence of UV/IR mixing. The calculations of higher loop and higher multi…

für leiwand
gegen oasch

Wigner function method for the Gibbons-Hawking and the Unruh effect
Ziv Landau, Ulf Leonhardt
https://arxiv.org/abs/2406.09339 https://

Wigner function method for the Gibbons-Hawking and the Unruh effect
An observer at rest with the expanding universe experiences some extra noise in the quantum vacuum, and so does an accelerated observer in a vacuum at rest (in Minkowski space). The literature mainly focuses on the ideal cases of exponential expansion (de-Sitter space) or uniform acceleration (Rindler trajectories) or both, but the real cosmic expansion is non-exponential and real accelerations are non-uniform. Here we use the frequency-time Wigner function of vacuum correlations to define time…

Integral solutions to systems of diagonal equations
Nick Rome, Shuntaro Yamagishi
https://arxiv.org/abs/2406.09256 https://arxiv.org/…

Integral solutions to systems of diagonal equations
In this paper, we obtain the asymptotic formula for the number of integral solutions to a system of diagonal equations. We obtain the asymptotic formula for the number of solutions with variables restricted to smooth numbers as well. We improve the required number of variables compared to previous results by incorporating the recent progress on Waring's problem and the resolution of Vinogradov's mean value theorem.

[2024-06-14 Fri (UTC), 2 new articles found for cs.MS Mathematical Software]

Hochschild homology for log schemes
Martin Olsson
https://arxiv.org/abs/2406.08629 https://arxiv.org/pdf/2406.08629

Hochschild homology for log schemes
We extend the notions of Hochschild and cyclic homology to morphisms from algebraic spaces to algebraic stacks. Using this, we obtain generalizations to log schemes in the sense of Fontaine and Illusie of these homology theories.

Topological isotopy and finite type invariants
Sergey A. Melikhov
https://arxiv.org/abs/2406.09331 https://arxiv.org/pdf/2406.09331…

Topological isotopy and finite type invariants
In 1974, D. Rolfsen asked: If two PL links in $S^3$ are isotopic (=homotopic through embeddings), then are they PL isotopic? We prove that they are PL isotopic to another pair of links which are indistinguishable from each other by finite type invariants. Thus if finite type invariants separate PL links in $S^3$, then Rolfsen's problem has an affirmative solution. In fact, we show that finite type invariants separate PL links in $S^3$ if and only if certain 6 rather diverse conjectures hold sim…

Topological pairing of composite fermions via criticality
N. Ne\v{s}kovi\'c, I. Vasi\'c, M. V. Milovanovi\'c
https://arxiv.org/abs/2406.09050 h…

Topological pairing of composite fermions via criticality
The fractional quantum Hall effect (FQHE) at the filling factor with an even denominator, 5/2, occurs despite the expectation, due to the electron statistics, that the denominator must be an odd number. It is believed that the Cooper pairing of underlying quasiparticles, composite fermions (CFs), leads to the explanation of this effect. Such a state should have a Pfaffian form of the BCS wave function (due to the absence of spin) and non-Abelian statistics of possible vortex-like excitations (d…

The Tolman-Ehrenfest criterion of thermal equilibrium in scalar-tensor gravity
Numa Karolinski, Valerio Faraoni
https://arxiv.org/abs/2406.09251 https://…

The Tolman-Ehrenfest criterion of thermal equilibrium in scalar-tensor gravity
The Tolman-Ehrenfest criterion for the thermal equilibrium of a fluid at rest in a static general-relativistic geometry is generalized to scalar-tensor gravity. The gravitational scalar field, which fixes the strength of the effective gravitational coupling, plays a role in determining thermal equilibrium. As a result, heat sinks more in a gravitational field where the geometry is more curved, but also where gravity is stronger.

On averages of completely multiplicative functions over co-prime integer pairs
Biao Wang
https://arxiv.org/abs/2406.09243 https://arx…

On averages of completely multiplicative functions over co-prime integer pairs
Recently, Donoso, Le, Moreira and Sun studied the asymptotic behavior of the averages of completely multiplicative functions over the Gaussian integers. They derived Wirsing's theorem for Gaussian integers, answered a question of Frantzikinakis and Host for sum of two squares, and obtained a variant of a theorem of Bergelson and Richter on ergodic averages along the number of prime factors of integers. In this paper, we will show the analogue of these results for co-prime integer pairs. Moreove…

Some applications of canonical metrics to Landau-Ginzburg models
Jacopo Stoppa
https://arxiv.org/abs/2406.08613 https://arxiv.org/pdf…

Some applications of canonical metrics to Landau-Ginzburg models
It is known that a given smooth del Pezzo surface or Fano threefold $X$ admits a choice of log Calabi-Yau compactified mirror toric Landau-Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations). Here we consider the problem of constructing a corresponding map $Θ$ from a domain in the complexified Kähler cone of $X$ to a well-defined, separated moduli space $\mathfrak{M}$ of polarised manifolds endowed with a canonical metric. We prove a complete resu…

The Brownian loop measure on Riemann surfaces and applications to length spectra
Yilin Wang, Yuhao Xue
https://arxiv.org/abs/2406.09108 https://

The Brownian loop measure on Riemann surfaces and applications to length spectra
We prove a simple identity relating the length spectrum of a Riemann surface to that of the same surface with an arbitrary number of additional cusps. Our proof uses the Brownian loop measure introduced by Lawler and Werner. In particular, we express the total mass of Brownian loops in a fixed free homotopy class on any Riemann surface in terms of the length of the geodesic representative for the complete constant curvature metric. This expression also allows us to write the electrical thicknes…

Validity of the Lieb-Schultz-Mattis Theorem in Long-Range Interacting Systems
Yi-Neng Zhou, Xingyu Li
https://arxiv.org/abs/2406.08948 https://

Validity of the Lieb-Schultz-Mattis Theorem in Long-Range Interacting Systems
The Lieb-Schultz-Mattis (LSM) theorem asserts that microscopic details of the system can impose non-trivial constraints on the system's low-energy properties. While traditionally applied to short-range interaction systems, where locality ensures a vanishing spectral gap in large system size limit, the impact of long-range interactions on the LSM theorem remains an open question. Long-range interactions are prevalent in experimental platforms such as Rydberg atoms, dipolar quantum gases, polar m…

Two sides of the same coin: the F-statistic and the 5-vector method
L. D'Onofrio, P. Astone, S. Dal Pra, S. D'Antonio, M. Di Giovanni, R. De Rosa, P. Leaci, S. Mastrogiovanni, L. Mirasola, F. Muciaccia, C. Palomba, L. Pierini
https://arxiv.org/abs/2406.09236

Two sides of the same coin: the F-statistic and the 5-vector method
This work explores the relationship between two data-analysis methods used in the search for continuous gravitational waves in LIGO-Virgo-KAGRA data: the $\mathcal{F}$-statistic and the 5-vector method. We show that the 5-vector method can be derived from a maximum likelihood framework similar to the $\mathcal{F}$-statistic. Our analysis demonstrates that the two methods are statistically equivalent, providing the same detection probability for a given false alarm rate. We extend this compariso…

Polynomial p-adic Low-Discrepancy Sequences
Christian Wei{\ss}
https://arxiv.org/abs/2406.09114 https://arxiv.org/pdf/2406.09114

Polynomial p-adic Low-Discrepancy Sequences
The classic example of a low-discrepancy sequence in $\mathbb{Z}_p$ is $(x_n) = an+b$ with $a \in \mathbb{Z}_p^x$ and $b \in \mathbb{Z}_p$. Here we address the non-linear case and show that a polynomial $f$ generates a low-discrepancy sequence in $\mathbb{Z}_p$ if and only if it is a permutation polynomial $\mod p$ and $\mod p^2$. By this it is possible to construct non-linear examples of low-discrepancy sequences in $\mathbb{Z}_p$ for all primes $p$. Moreover, we prove a criterion which decide…

Smooth structures on four-manifolds with finite cyclic fundamental groups
R. Inanc Baykur, Andras I. Stipsicz, Zoltan Szabo
https://arxiv.org/abs/2406.09007

Smooth structures on four-manifolds with finite cyclic fundamental groups
For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions, either admits no smooth structure or admits infinitely many distinct smooth structures up to diffeomorphism. Moreover, we construct infinite families of non-complex irreducible fake projective planes with diverse fundamental groups.

Fractional Chern insulator candidate in twisted bilayer checkboard lattice
Jia-Zheng Ma, Rui-Zhen Huang, Guo-Yi Zhu, Ji-Yao Chen, Dao-Xin Yao
https://arxiv.org/abs/2406.08901

Fractional Chern insulator candidate in twisted bilayer checkboard lattice
We investigate a fractional Chern insulator (FCI) candidate arising from Moiré bands with higher Chern number C=2 on a magic angle twisted bilayer checkboard lattice (MATBCB). There are two nearly flat low lying bands in the single particle energy spectrum under the first magic angle $ϕ\approx 1.608^{\circ}$ and chiral limit. We find MATBCB hosts a nearly uniform Berry curvature distribution and exhibits tiny violation of quantum geometric trace condition in the first moiré Brillourin Zone (…

Measuring gravitational wave memory with LISA
Henri Inchausp\'e, Silvia Gasparotto, Diego Blas, Lavinia Heisenberg, Jann Zosso, Shubhanshu Tiwari
https://arxiv.org/abs/2406.09228

Measuring gravitational wave memory with LISA
Gravitational wave (GW) astronomy has revolutionized our capacity to explore nature. The next generation of observatories, among which the space-borne detector Laser Interferometer Space Antenna LISA, is expected to yield orders of magnitude of signal-to-noise ratio improvement, and reach fainter and novel features of General Relativity. Among them, an exciting possibility is the detection of GW memory. Interpreted as a permanent deformation of the background spacetime after a GW perturbation h…

Square-roots and lattices
Jens Marklof
https://arxiv.org/abs/2406.09107 https://arxiv.org/pdf/2406.09107

Square-roots and lattices
We construct a point set in the Euclidean plane that elucidates the relationship between the fine-scale statistics of the fractional parts of $\sqrt n$ and directional statistics for a shifted lattice. We show that the randomly rotated, and then stretched, point set converges in distribution to a lattice-like random point process. This follows closely the arguments in Elkies and McMullen's original analysis for the gap statistics of $\sqrt{n}$ mod 1 in terms of random affine lattices [Duke Math…

Spherical collapse and black hole evaporation
Madhavan Varadarajan
https://arxiv.org/abs/2406.09176 https://arxiv.org/pdf/2406.09176<…

Spherical collapse and black hole evaporation
We consider spherically symmetric gravity coupled to a spherically symmetric scalar field with a specific coupling which depends on the Areal Radius. Classical collapse is described by the Vaidya solution. The semiclassical Einstein equations are well defined. Their solution describes an evaporating black hole. A balance law at future null infinity relates the rate of change of a back reaction-corrected Bondi mass to a manifestly positive flux. Its detailed form suggests a quantum extension of …

On a generalization of Cannon's conjecture for cubulated hyperbolic groups
Corey Bregman, Merlin Incerti-Medici
https://arxiv.org/abs/2406.08779 https:…

On a generalization of Cannon's conjecture for cubulated hyperbolic groups
We show that cubulated hyperbolic groups with spherical boundary of dimension 3 or at least 5 are virtually fundamental groups of closed, orientable, aspherical manifolds, provided that there are sufficiently many quasi-convex, codimension-1 subgroups whose limit sets are locally flat subspheres. The proof is based on ideas used by Markovic in his work on Cannon's conjecture for cubulated hyperbolic groups with 2-sphere boundary.

Electronic and magnetic ground state of 4$d^3$ double perovskite ruthenates A$_2$LaRuO$_6$ (A $=$ Ca, Sr, Ba)
Asha Ann Abraham, Roumita Roy, Ruta Kulkarni, Sudipta Kanungo, Soham Manni
https://arxiv.org/abs/2406.08873

Electronic and magnetic ground state of 4$d^3$ double perovskite ruthenates A$_2$LaRuO$_6$ (A $=$ Ca, Sr, Ba)
4$d$ transition metal oxide (TMO) offers an intriguing puzzle for their electronic and magnetic ground state. They are in the cross-over regime of strong spin orbit interaction (SOI) and electron-electron correlation ($U$) with quenched orbital angular momentum. Our work unravels the electronic and magnetic ground state of the less investigated 4$d^{3}$ double perovskite ruthenates A$_{2}$LaRuO$_6$ (A = Ca, Ba). The negligible effect of SOI is evident from the bulk magnetic, specific heat measu…

Multifractal analysis of the growth rate of digits in Schneider's $p$-adic continued fraction dynamical system
Kunkun Song, Wanlou Wu, Yueli Yu, Sainan Zeng
https://arxiv.org/abs/2406.09081

Multifractal analysis of the growth rate of digits in Schneider's $p$-adic continued fraction dynamical system
Let $\mathbb{Z}_p$ be the ring of $p$-adic integers and $a_n(x)$ be the $n$-th digit of Schneider's $p$-adic continued fraction of $x\in p\mathbb{Z}_p$. We study the growth rate of the digits $\{a_n(x)\}_{n\geq1}$ from the viewpoint of multifractal analysis. The Hausdorff dimension of the set \[E_{\sup}(ψ)=\Big\{x\in p\mathbb{Z}_p:\ \limsup\limits_{n\to\infty}\frac{a_n(x)}{ψ(n)}=1\Big\}\] is completely determined for any $ψ:\mathbb{N}\to\mathbb{R}^{+}$ satisfying $ψ(n)\to \infty$ as $n\to\i…

Numerical relativity simulations of compact binaries: comparison of cell- and vertex-centered adaptive meshes
Boris Daszuta, William Cook, Peter Hammond, Jacob Fields, Eduardo M. Guti\'errez, Sebastiano Bernuzzi, David Radice
https://arxiv.org/abs/2406.09139

Numerical relativity simulations of compact binaries: comparison of cell- and vertex-centered adaptive meshes
Given the compact binary evolution problem of numerical relativity, in the finite-difference, block-based, adaptive mesh refinement context, choices must be made on how evolved fields are to be discretized. In GR-Athena++, the space-time solver was previously fixed to be vertex-centered. Here, our recent extensions to a cell-centered treatment, are described. Simplifications in the handling of variables during the treatment of general relativistic magneto-hydrodynamical (GRMHD) evolution are fo…

Warping labeling for twisted knots and twisted virtual braids
Komal Negi, Ayaka Shimizu, Madeti Prabhakar
https://arxiv.org/abs/2406.08505 https://<…

Warping labeling for twisted knots and twisted virtual braids
In this paper, we introduce the concept of the warping degree for twisted knots, construct an invariant for them, and utilize it to establish a labeling scheme for these knots, known as ``warping labeling". We have identified that a warping labeling can be extended to twisted virtual braids, enabling the creation of a function that remains invariant under all R-moves except the R2 move. By limiting the labeling set to $\mathbb{Z}_2$, we can develop invariants for twisted virtual braids.

Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
Ke Yang, Qianqian Chen, Lei Qiao, Zheng Zhu
https://arxiv.org/abs/2406.08780

Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
It remains an open question whether the two-dimensional single-band pure Hubbard model and its related pure $t$-$J$ model truly capture the superconducting order in cuprates. Recent numerical studies on this issue have raised a notable disparity in superconducting order between the pure Hubbard model and the pure $t$-$J$ model. Inspired by these, we investigate the role of the three-site hopping term in $d$-wave superconductivity, such a term is usually neglected in the effective Hamiltonian of…

Generation of cyclotomic Hecke fields by $L$-values of cusp forms on $\mathrm{GL}(2)$ with certain $\mathbb{Z}_p$ twist
Jaesung Kwon
https://arxiv.org/abs/2406.08939

Generation of cyclotomic Hecke fields by $L$-values of cusp forms on $\mathrm{GL}(2)$ with certain $\mathbb{Z}_p$ twist
Let $F$ be a number field, $f$ an algebraic automorphic newform on $\mathrm{GL}(2)$ over $F$, $p$ an odd prime does not divide the class number of $F$ and the level of $f$. We prove that $f$ is determined by its $L$-values twisted by Galois characters $ϕ$ of certain $\mathbb{Z}_p$-extension of $F$. Furthermore, if $F$ is totally real or CM, then under some mild assumption on $f$, the compositum of the Hecke field of $f$ and the cyclotomic field $\mathbb{Q}(ϕ)$ is generated by the algebraic $L…

Thermodynamic of the $f(Q)$ universe
Haomin Rao, Chunhui Liu, Chao-Qiang Geng
https://arxiv.org/abs/2406.09036 https://arxiv.org/pdf/…

Thermodynamic of the $f(Q)$ universe
We investigate thermodynamics of apparent horizon in the $f(Q)$ universe with trivial and nontrivial connections. We first explore the perspectives of the first law, generalized second law and $P-V$ phase transition with trivial connection. We show that the lowest-order correction of entropy has the same form as that in loop quantum gravity, and the critical exponents of the phase transition caused by the lowest-order correction are consistent with those in mean field theory. We then examine th…

Comparison of superconducting pairing in doped cuprates and nickelates within an extended Hubbard model
Yicheng Xiong, Hang Ma, Hongxing Liu, Runyu Ma, Tianxing Ma
https://arxiv.org/abs/2406.08717

Comparison of superconducting pairing in doped cuprates and nickelates within an extended Hubbard model
Within an extended Hubbard model, we investigate the superconducting pairing behavior of infinite-layer nickelate $\mathrm{NdNiO_2}$ and cuprates superconductors by using the determinant quantum Monte Carlo method. Our focus is on comparing their dominant pairing symmetries. The results indicate that the $d_{x^2-y^2}$ pairing interaction is significantly enhanced at low temperatures in both doped nickelates and cuprates, while other typical pairing symmetries are effectively suppressed, highlig…

On the number of zeros of $\mathop{\mathcal R}(s)$
Juan Arias de Reyna
https://arxiv.org/abs/2406.08890 https://arxiv.org/pdf/2406.08…

On the number of zeros of $\mathop{\mathcal R}(s)$
We prove that the number of zeros $\varrho=β+iγ$ of $\mathop{\mathcal R}(s)$ with $0<γ\le T$ is given by \[N(T)=\frac{T}{4π}\log\frac{T}{2π}-\frac{T}{4π}-\frac12\sqrt{\frac{T}{2π}}+O(T^{2/5}\log^2 T).\] Here $\mathop{\mathcal R}(s)$ is the function that Siegel found in Riemann's papers. Siegel related the zeros of $\mathop{\mathcal R}(s)$ to the zeros of Riemann's zeta function. Our result on $N(T)$ improves the result of Siegel.

Tunneling of Hawking Radiation in Starobinsky-Bel-Robinson gravity
Dhanvarsh Annamalai, Akshat Pandey
https://arxiv.org/abs/2406.09006 https://

Tunneling of Hawking Radiation in Starobinsky-Bel-Robinson gravity
We examine Hawking radiation for a Schwarszchild-type black hole in Starobinsky Bel Robinson (SBR) gravity and calculate the corrected Hawking Temperature using the tunnelling method. We then discuss the deviation of our Hawking temperature from the standard Schwarszchild result. We relate the corrections to the Hawking temperature beyond the semi-classical approximation. We highlight that starting with a modification of the classical black hole geometry and calculating the semi-classical Hawki…

Laser induced $\mathcal{PT}$-symmetry breaking in the fluctuations of electronic fluids
Rui Aquino, Nathan O. Silvano, Daniel G. Barci
https://arxiv.org/abs/2406.08576

Laser induced $\mathcal{PT}$-symmetry breaking in the fluctuations of electronic fluids
Electronic fluids can display exciting dynamical properties. In particular, due to Landau damping, the collective modes spectrum of an electronic system with multipolar interactions is non-hermitian, and can present non-hermitian degeneracies called $\textit{exceptional points}$. In this work, we want to explore the dynamical properties of these degeneracies using laser control. We show that by using a light pulse, we can control the collective mode spectrum and tune a non-hermitian $\mathcal{P…

The Steinitz Realization Problem
Sameera Vemulapalli
https://arxiv.org/abs/2406.08643 https://arxiv.org/pdf/2406.08643

The Steinitz Realization Problem
Let $K$ be a number field and let $n \in \ZZ_{>1}$. The \emph{Steinitz realization problem} asks: does every element of $\Cl(K)$ occur as the Steinitz class of a degree $n$ extension of $K$? In this article, we give an affirmative answer to the Steinitz realization problem for all $n$ and $K$.

Exponential gravity with logarithmic corrections in the presence of axion dark matter
Sergei D. Odintsov, Diego S\'aez-Chill\'on G\'omez, German S. Sharov
https://arxiv.org/abs/2406.08831

Exponential gravity with logarithmic corrections in the presence of axion dark matter
An exponential modified gravity with additional logarithmic corrections is considered with the presence of an axion-like scalar field in the role of dark matter. Axion fields are thought to become important at late-times when the axion-like scalar field oscillates around its vacuum expectation value, mimicking dark matter behaviour. The model is compared with the usual pressureless fluid description of dark matter. Both models are tested with observational data including some of the latest sour…

Parafermions in Moir\'e Minibands
Hui Liu, Raul Perea-Causin, Emil J. Bergholtz
https://arxiv.org/abs/2406.08546 https://arxiv.or…

Parafermions in Moiré Minibands
Moiré materials provide a remarkably tunable platform for topological and strongly correlated quantum phases of matter. Very recently, the first zero field Abelian fractional Chern insulators (FCIs) have been experimentally demonstrated and it has been theoretically predicted that non-Abelian states with Majorana fermion excitations may be realized in the nearly dispersionless minibands of these systems. Here we provide telltale evidence in terms of low-energy quantum numbers, spectral flow an…

Integral representation and approximation of L-functions associated to Hecke cusp eigenforms
An Huang, Kamryn Spinelli
https://arxiv.org/abs/2406.08608 htt…

Integral representation and approximation of L-functions associated to Hecke cusp eigenforms
We derive a family of approximations for L-functions of Hecke cusp eigenforms, according to a recipe first described by Matiyasevich for the Riemann xi function. We show that these approximations converge to the true L-function, and along the way we demonstrate error formulas which may be used to investigate analytic properties of the L-function and its derivatives. Together with the Euler product expansion of the L-function, the family of approximations also encodes some of the key features of…

Frozen boson stars in an infinite tower of higher-derivative gravity
Tian-Xiang Ma, Yong-Qiang Wang
https://arxiv.org/abs/2406.08813 https://

Frozen boson stars in an infinite tower of higher-derivative gravity
In this paper, we present a solution for a five-dimensional boson star under gravity with infinite tower of higher curvature corrections. We discover that when the coupling constant exceeds a certain threshold, an alternative configuration emerges, distinct from the conventional five-dimensional boson star. This new structure is characterized by a broader frequency range, with its minimum value approaching zero. At a truncation of $n=2$ for the correction order, the solution and its scalar curv…

Positive-energy Dirac particles in cosmology
Andrei Galiautdinov
https://arxiv.org/abs/2406.08699 https://arxiv.org/pdf/2406.08699

Positive-energy Dirac particles in cosmology
We provide general relativistic treatment of the single-component field described by Dirac's positive-energy wave equation of 1971. It is motivated by Bogomolny's proposal to regard that field as a possible candidate for dark matter. Our emphasis is on standard (flat) Friedmann-Robertson-Walker cosmology. The early universe is not considered, though there is a strong indication that the field may play a role in internally driven generation of cosmic anisotropy.

A New Elementary Proof of Landau's Prime Ideal Theorem, and Associated Results
Alex Burgin
https://arxiv.org/abs/2406.08565 https://

A New Elementary Proof of Landau's Prime Ideal Theorem, and Associated Results
We give a new elementary proof of Landau's Prime Ideal Theorem. The proof is an extension of Richter's proof of the Prime Number Theorem. The main result contains other results related to the equidistribution of the prime ideal counting function.

Foundational Issues in Group Field Theory
\'Alvaro Mozota Frauca
https://arxiv.org/abs/2406.08501 https://arxiv.org/pdf/2406.0850…

Foundational Issues in Group Field Theory
In this paper I offer an introduction to group field theory (GFT) and to some of the issues affecting the foundations of this approach to quantum gravity. I first introduce covariant GFT as the theory that one obtains by interpreting the amplitudes of certain spin foam models as Feynman amplitudes in a perturbative expansion. However, I argue that it is unclear that this definition of GFTs amounts to something beyond a computational rule for finding these transition amplitudes and that GFT does…