Tootfinder

This https://arxiv.org/abs/2407.18893 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A remark on Bohr-Sommerfeld Quantization Rules for a self-adjoint 1-D $h$-Pseudo-differential operator
We revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D h-Pseudo-differential operator within the algebraic and microlocal framework of Helffer and Sjoestrand.

Cowboys set to lose $16.4 million in future cap space Tuesday thanks to accounting quirk https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/06/01/cowboys-zack-martin-dead-money-june-1-rule/839780370…

The way we talk about housing in public discourse is so broken. How does kicking unhoused people out onto the street "deal with" homelessness in any sense other than a murderous one?
"Montreal's public transit agency is lifting a temporary rule against loitering in the Metro — a controversial measure established in mid-March to help deal with rising social problems in the network, including homelessness."

Does anyone know how to make sense of the following, from section 3.2 of "The independence of Peano's fourth axiom…":
The W-introduction rule in [4] does not have a bottom clause 0 ∈ (Wx ∈ A)B(x) since such a clause can be derived using a universe. We can now see that this use of a universe is necessary.
The W-introduction rule in the referenced Martin-Löf paper is the standard one: from a : A and b : B(a) − W A B, get sup(a, b) : W A B.
What on earth is a "bottom clause", and why would such a thing be derivable with a universe? If this means adding a premise that W A B is inhabited to the W-introduction rule, then wouldn't the new rule be trivially derivable by ignoring the premise?

Revisiting Isocurvature Bounds on the Minimal QCD Axion
Peter W. Graham, Davide Racco
https://arxiv.org/abs/2506.03348 https://arxiv.…

Revisiting Isocurvature Bounds on the Minimal QCD Axion
The QCD axion has important connections to early universe cosmology. For example, it is often said that isocurvature limits rule out a combination of high axion decay constant, $f_a$, and high inflationary Hubble scale, $H_I$. High scales are theoretically motivated, so it is important to ask how robust this constraint is. We demonstrate that this constraint is naturally evaded when the quartic coupling of the complex $U(1)_\mathrm{PQ}$-breaking field is small. In this case, $f_a$ changes from …

#LB Eu demorei um tempo até entender o que raios era isso. Senhoras e senhores, um semi-grupo representado por maçãs e bananas! rs
https://mathstodon.xyz/@slava/114701493754149431

Marcello's completion of graphs
Johan Kok
https://arxiv.org/abs/2507.02015 https://arxiv.org/pdf/2507.02015

Marcello's completion of graphs
This paper initiates a study on a new optimization problem with regards to graph completion. The defined procedure is called, \emph{Marcello's completion} of a graph. For graph $G$ of order $n$ the \emph{Marcello number} is obtained by iteratively constructing graphs, $G_1,G_2,\dots,G_k$ by adding a maximal number of edges between pairs of distinct, non-adjacent vertices in accordance with the \emph{Marcello rule}. If for smallest $k$ the resultant graph $G_k \cong K_n$ then the Marcello number…

1-Uryson width and covers
Hannah Alpert, Arka Banerjee, Panos Papasoglu
https://arxiv.org/abs/2505.21126 https://arxiv.org/pdf/2505.2…

1-Uryson width and covers
We investigate the following question: Do there exist Riemannian polyhedra $X$ such that the 1-Uryson width of their universal covers $\mathrm{UW}_1(\widetilde{X})$ is bounded but $\mathrm{UW}_1(X)$ is arbitrarily large? We rule out two specific cases: when $π_1(X)$ is virtually cyclic and when $X$ is a Riemannian surface. More specifically, we show that if $X$ is a compact polyhedron with a virtually cyclic fundamental group, then its 1-Uryson width is bounded by the 1-Uryson width of its uni…

This https://arxiv.org/abs/2210.03905 has been replaced.
link: https://scholar.google.com/scholar?q=a

Empirical Bayes Selection for Value Maximization
We study the problem of selecting the best $m$ units from a set of $n$ as $m / n \to α\in (0, 1)$, where noisy, heteroskedastic measurements of the units' true values are available and the decision-maker wishes to maximize the aggregate true value of the units selected. Given a parametric prior distribution, the empirical Bayes decision rule incurs $O_p(n^{-1})$ regret relative to the Bayesian oracle that knows the true prior. More generally, if the error in the estimated prior is of order $O_…

QCD sum rule analysis of $J^{PC}=1^{--}$ light hybrid mesons
Shuang-Hong Li, Zhuo-Ran Huang, Wei Chen, Hong-Ying Jin
https://arxiv.org/abs/2506.22412 https…

QCD sum rule analysis of $J^{PC}=1^{--}$ light hybrid mesons
We performed a comprehensive next-to-leading order (NLO) QCD sum rule analysis of the light hybrid meson with quantum numbers $J^{PC}=1^{--}$. Utilizing both Laplace sum rules (LSR) and Gaussian sum rules (GSR), we investigate the two-point correlation function of the light hybrid interpolating current, including condensates up to dimension-8. A conservative range $2-2.5\text{GeV}$ is obtained. Notably, the GSR yield mass predictions $2.27\text{GeV}$ for the $s\bar{s}g$ and $2.19\text{GeV}$ for…

I guess it's slightly more likely that this means adding a new rule with no premises and conclusion 0 : W A B. But how do you derive this when A is empty?

Droplet growth, Ostwald's rule, and emergence of order in Fused in Sarcoma
Farkhad Maksudov (Department of Chemistry, The University of Texas at Austin), Mauro L. Mugnai (Institute of Soft Matter Synthesis and Metrology, Georgetown University, Washington), Laura Dominguez (Department of Chemistry, The University of Texas at Austin, Departamento de Fisicoquimica, Facultad de Quimica, Universidad Nacional Autonoma de Mexico, Coyoacan, CDMX, Mexico), Dmitrii Makarov (Department of Che…

Droplet growth, Ostwald's rule, and emergence of order in Fused in Sarcoma
The low complexity domain of Fused in Sarcoma (FUS-LC consisting of 214 residues) undergoes phase separation, resulting in a dense liquid-like phase that forms early and slowly matures to reach ordered gel-like state on long time scales. Upon maturation, core-1, comprising of the 57 residues (39-95) in the N-terminus become structured, resulting in the formation of a non-polymorphic fibril. The truncated FUS-LC-C (residues 110-214) construct forms a fibril in which core-2 (residues 112-150) ado…

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- On the chain rule in Goodwillie calculus
Max Blans, Thomas Blom

Sovereign God, establish peace, a measure of calm, the possibility of respect, the recognition that you, the only living and true God, rule this world and desire justice, righteousness, and truth.
In the exalted name of Jesus the Christ.
Amen.

Sources: FTC is discussing a consent decree on the Omnicom-Interpublic merger, prohibiting the combined company from boycotting platforms over political content (New York Times)
https://www.

FTC May Impose Political Bias Rule on Omnicom and Interpublic Merger
The Federal Trade Commission is considering restrictions on Omnicom and Interpublic to prevent the combined company from refusing to place ads on platforms for political reasons.

Hubble's Multi-Year Search for Exospheres in the TRAPPIST-1 System Reveals Frequent Microflares
David Berardo, Julien de Wit, Michael Gillon, Ward S. Howard, Vincent Bourrier, Matthew W. Cotton, Florian Quatresooz, L\'eonie Hoerner, Emeline Bolmont, Artem Burdanov, Adam J. Burgasser, Brice-Olivier Demory, David Enhrenreich, Susan M. Lederer, Benjamin V. Rackham, Sara Seager, Amaury Triaud

Hubble's Multi-Year Search for Exospheres in the TRAPPIST-1 System Reveals Frequent Microflares
Ly-$α$ observations provide a powerful probe of stellar activity and atmospheric escape in exoplanetary systems. We present here an analysis of 104 HST/STIS orbits monitoring the TRAPPIST-1 system between 2017 and 2022, covering 3--5 transits for each of its seven planets. We rule out transit depths $\gtrsim20\%$, which translates into an upper limit on the escape rate of $1064~EO_H$/Gyr for planet b ($1~EO_H$ is the Earth-ocean-equivalent hydrogen content), in agreement with recent claims tha…

Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics
Pietro Brighi, Alberto Biella
https://arxiv.org/abs/2506.19011

Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics
In this work we study the dissipative quantum North-East-Center (NEC) model: a two-dimensional spin-1/2 lattice subject to chiral, kinetically constrained dissipation and coherent quantum interactions. This model combines kinetic constraints and chirality at the dissipative level, implementing local incoherent spin flips conditioned by an asymmetric majority-vote rule. Through a cluster mean-field approach, we determine the steady-state phase diagram of the NEC model under different Hamiltonian…

Binary Self-Selective Voting Rules
H\'ector Hermida-Rivera, Toygar T. Kerman
https://arxiv.org/abs/2506.15265 https://arxiv.org/p…

Binary Self-Selective Voting Rules
This paper introduces a novel binary stability property for voting rules-called binary self-selectivity-by which a society considering whether to replace its voting rule using itself in pairwise elections will choose not to do so. In Theorem 1, we show that a neutral voting rule is binary self-selective if and only if it is universally self-selective. We then use this equivalence to show, in Corollary 1, that under the unrestricted strict preference domain, a unanimous and neutral voting rule i…

Decays of the vector charmonium and bottomonium hybrids
B. Barsbay
https://arxiv.org/abs/2506.00665 https://arxiv.org/pdf/2506.00665

Decays of the vector charmonium and bottomonium hybrids
The full widths of the vector charmonium and bottomonium hybrid mesons $H_{ \mathrm{c}}$ and $H_{\mathrm{b}}$, characterized by the quantum numbers $1^{ \mathrm{--}}$, are determined by analyzing their dominant strong decay modes: $H_{\mathrm{c}} \to D^{+}D^{-}$, $D_{0}\overline{D}_{0}$, $ D_{s}^{+}D_{s}^{-} $ and $H_{\mathrm{b}} \to B^{+}B^{-}$, $B_{0}\overline{B} _{0}$. To evaluate the partial widths of these channels, we employ the QCD three-point sum rule approach, which provides a reliable…

Nonparametric estimation of an optimal treatment rule with fused randomized trials and missing effect modifiers
Nicholas Williams, Kara Rudolph, Iv\'an D\'iaz
https://arxiv.org/abs/2506.10863

Nonparametric estimation of an optimal treatment rule with fused randomized trials and missing effect modifiers
A fundamental principle of clinical medicine is that a treatment should only be administered to those patients who would benefit from it. Treatment strategies that assign treatment to patients as a function of their individual characteristics are known as dynamic treatment rules. The dynamic treatment rule that optimizes the outcome in the population is called the optimal dynamic treatment rule. Randomized clinical trials are considered the gold standard for estimating the marginal causal effec…

I feel like I'm the only one in the world who likes lime flavored hard seltzer. Everywhere I go the watering holes stock as a rule crazy, in-your-face flavors like PINEAPPLE and PASSIONFRUIT and BLACKBERRY. I can just about tolerate mango.
1/2

QUITE: A Query Rewrite System Beyond Rules with LLM Agents
Yuyang Song, Hanxu Yan, Jiale Lao, Yibo Wang, Yufei Li, Yuanchun Zhou, Jianguo Wang, Mingjie Tang
https://arxiv.org/abs/2506.07675

QUITE: A Query Rewrite System Beyond Rules with LLM Agents
Query rewrite transforms SQL queries into semantically equivalent forms that run more efficiently. Existing approaches mainly rely on predefined rewrite rules, but they handle a limited subset of queries and can cause performance regressions. This limitation stems from three challenges of rule-based query rewrite: (1) it is hard to discover and verify new rules, (2) fixed rewrite rules do not generalize to new query patterns, and (3) some rewrite techniques cannot be expressed as fixed rules. M…

Enforcing tail calibration when training probabilistic forecast models
Jakob Benjamin Wessel, Maybritt Schillinger, Frank Kwasniok, Sam Allen
https://arxiv.org/abs/2506.13687

Enforcing tail calibration when training probabilistic forecast models
Probabilistic forecasts are typically obtained using state-of-the-art statistical and machine learning models, with model parameters estimated by optimizing a proper scoring rule over a set of training data. If the model class is not correctly specified, then the learned model will not necessarily issue forecasts that are calibrated. Calibrated forecasts allow users to appropriately balance risks in decision making, and it is particularly important that forecast models issue calibrated predicti…

The $U(1)_{L_\mu-L_\tau}$ model meets the new $(g-2)_\mu$ data and muon neutrino trident scattering
Ming-Wei Li, Xiao-Gang He, Andrew Cheek, Xinhui Chu
https://arxiv.org/abs/2506.05511

The $U(1)_{L_μ-L_τ}$ model meets the new $(g-2)_μ$ data and muon neutrino trident scattering
The Muon $g-2$ collaboration at Fermilab has announced their final result of the anomalous magnetic moment of the muon. This result is now in agreement with the latest theoretical prediction to the $1σ$ level. This new result further constrains the allowed parameter space, but does not rule out all possible new physics contributions the muon $g-2$. We study the implications for one of the relevant models, the gauged $U(1)_{L_μ- L_τ}$. When using this model to resolve the previous $4σ$ tensi…

Scalar Triple-Heavy Tetraquark States With Quark Content $cc\bar{c}\bar{s}$
Yong-Jiang Xu, Luo-Geng Tian, Yuan Li, Jin-Yun Wu, Yong-Lu Liu, Ming-Qiu Huang
https://arxiv.org/abs/2506.14527

Scalar Triple-Heavy Tetraquark States With Quark Content $cc\bar{c}\bar{s}$
In this paper, we study the scalar triple-heavy tetraquark states with quark content $cc\bar{c}\bar{s}$, $η_{c}D_{s}$ molecular state and $[cc]_{A(T)}[\bar{c}\bar{s}]_{A(T)}$ compact tetraquark states, by the QCD sum rule method. First, we construct the needed interpolating currents, $J^{M}(x)$, $J^{T_{1}}(x)$, and $J^{T_{2}}(x)$. Then, we derive the sum rules for the masses and the current coupling constants. Finally, we numerically analyze these sum rules, and find $m_{M}=4.9392^{+0.0851}_{-…