Tootfinder

Efficient and Reuseable Cloud Configuration Search Using Discovery Spaces
Michael Johnston, Burkhard Ringlein, Christoph Hagleitner, Alessandro Pomponio, Vassilis Vassiliadis, Christian Pinto, Srikumar Venugopal
https://arxiv.org/abs/2506.21467

Efficient and Reuseable Cloud Configuration Search Using Discovery Spaces
Finding the optimal set of cloud resources to deploy a given workload at minimal cost while meeting a defined service level agreement is an active area of research. Combining tens of parameters applicable across a large selection of compute, storage, and services offered by cloud providers with similar numbers of application-specific parameters leads to configuration spaces with millions of deployment options. In this paper, we propose Discovery Space, an abstraction that formalizes the descr…

On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms
Athul Augustine, P. Hiran Das, Pintu Bhunia, P. Shankar
https://arxiv.org/abs/2507.22427

On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms
This paper introduces a new family of semi-norms, say $σ_μ$-Berezin norm on the space of all bounded linear operators $B(\mathcal{H})$ defined on a reproducing kernel Hilbert space $\mathcal{H}$, namely, for each $μ\in [0,1]$ and $p\geq 1$, $$\|T\|_{σ_μ\text{-ber}}= \sup_{λ\inΩ}\left\lbrace \left(|\langle T\hat{k}_λ,\hat{k}_λ\rangle |^p~ σ_μ~ \|T\hat{k}_λ\|^p\right)^{\frac{1}{p}}\right\rbrace $$ where $T\in B(\mathcal{H})$ and $σ_μ$ is an interpolatio…

Dark Energy Survey Year 3 Results: Cosmological constraints from second and third-order shear statistics
R. C. H. Gomes, S. Sugiyama, B. Jain, M. Jarvis, D. Anbajagane, A. Halder, G. A. Marques, S. Pandey, J. Marshall, A. Alarcon, A. Amon, K. Bechtol, M. Becker, G. Bernstein, A. Campos, R. Cawthon, C. Chang, R. Chen, A. Choi, J. Cordero, C. Davis, J. Derose, S. Dodelson, C. Doux, K. Eckert, F. Elsner, J. Elvin-Poole, S. Everett, A. Fert\'e, M. Gatti, G. Giannini, D. Gruen, I. Harri…

Dark Energy Survey Year 3 Results: Cosmological constraints from second and third-order shear statistics
We present a cosmological analysis of the third-order aperture mass statistic using Dark Energy Survey Year 3 (DES Y3) data. We perform a complete tomographic measurement of the three-point correlation function of the Y3 weak lensing shape catalog with the four fiducial source redshift bins. Building upon our companion methodology paper, we apply a pipeline that combines the two-point function $ξ_{\pm}$ with the mass aperture skewness statistic $\langle M_{\rm ap}^3\rangle$, which is an effici…

Resurgence for large $c$ expansion in Coulomb gas formalism
Yong Li, Hongfei Shu
https://arxiv.org/abs/2508.19059 https://arxiv.org/pdf/2508.19059

Resurgence for large $c$ expansion in Coulomb gas formalism
We develop a resurgence analysis for large central charge (large $C$) expansions in two-dimensional CFTs using the Coulomb gas formalism. Through the exact Borel-Laplace representations of the conformal blocks $I_1(C,z)$ and $I_2(C,z)$ associated with the four-point correlation function $ \langle ϕ_{2,1}(0)ϕ_{2,1}(z,\bar{z})ϕ_{2,1}(1)ϕ_{2,1}(\infty)\rangle$, we demonstrate that $I_1(C,z)$ participates in the Stokes phenomenon of $I_2(C,z)$ (and vice versa), and establish that monodromy in $…

From Model to Classroom: Evaluating Generated MCQs for Portuguese with Narrative and Difficulty Concerns
Bernardo Leite, Henrique Lopes Cardoso, Pedro Pinto, Abel Ferreira, Lu\'is Abreu, Isabel Rangel, Sandra Monteiro
https://arxiv.org/abs/2506.15598

From Model to Classroom: Evaluating Generated MCQs for Portuguese with Narrative and Difficulty Concerns
While MCQs are valuable for learning and evaluation, manually creating them with varying difficulty levels and targeted reading skills remains a time-consuming and costly task. Recent advances in generative AI provide an opportunity to automate MCQ generation efficiently. However, assessing the actual quality and reliability of generated MCQs has received limited attention -- particularly regarding cases where generation fails. This aspect becomes particularly important when the generated MCQs …

Automata on $S$-adic words
Val\'erie Berth\'e, Toghrul Karimov, Mihir Vahanwala
https://arxiv.org/abs/2506.17460 https://arxi…

Automata on $S$-adic words
A fundamental question in logic and verification is the following: for which unary predicates $P_1, \ldots, P_k$ is the monadic second-order theory of $\langle \mathbb{N}; <, P_1, \ldots, P_k \rangle$ decidable? Equivalently, for which infinite words $α$ can we decide whether a given Büchi automaton $A$ accepts $α$? Carton and Thomas showed decidability in case $α$ is a fixed point of a letter-to-word substitution $σ$, i.e., $σ(α) = α$. However, abundantly more words, e.g., Sturmian wor…

This https://arxiv.org/abs/2409.17464 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Computation of $\langle Φ^2\rangle$ and quantum fluxes at the polar interior of a spinning black hole
Renormalization of physical quantities for quantum field theories in curved spacetimes can be achieved via the consistent subtraction of counterterms within a regularization scheme such as a point-splitting method. Pragmatic mode-sum regularization (PMR) is a point-splitting method which is particularly suitable for rotating black hole spacetimes. We extend and tailor the t-splitting variant of PMR specifically for the interior of a Kerr black hole on the axis of rotation, focusing on a minimal…

Two classification results for stationary surfaces of the least moment of inertia
Rafael L\'opez
https://arxiv.org/abs/2507.12398 https://

Two classification results for stationary surfaces of the least moment of inertia
A surface in Euclidean space $\r^3$ is said to be an $α$-stationary surface if it is a critical point of the energy $\int_Σ|p|^α$, where $α\in\r$. These surfaces are characterized by the Euler-Lagrange equation $H(p)=α\frac{\langle N(p),p\rangle}{|p|^2}$, $p\inΣ$, where $H$ and $N$ are the mean curvature and the normal vector of $Σ$. If $α\not=0$, we prove that vector planes are the only ruled $α$-stationary surfaces. The second result of classification asserts that…

Singularity of non-pluripolar cohomology classes
Duc-Bao Nguyen, Shuang Su, Duc-Viet Vu
https://arxiv.org/abs/2508.14669 https://arxiv.org/pdf/2508.14669…

Singularity of non-pluripolar cohomology classes
We establish a relation between Lelong numbers and the full mass property of relative non-pluripolar products. We use it to show that if the restricted volume of a big cohomology class $α$ in a compact Kähler $n$-dimensional manifold $X$ to an effective divisor $D$ is of full mass, then the Lelong numbers of the non-pluripolar class $\langle α^{n-1}\rangle$ at every point in the support of $D$ is zero. In particular, we obtain that on projective manifolds, the Lelong numbers of the non-pluri…

The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
Mitchell Woolley
https://arxiv.org/abs/2506.08094 https://arxi…

The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
6d (2,0) SCFTs of type $\mathfrak{g}$ have protected subsectors that were conjectured in arxiv:1404.1079 to be captured by $\mathcal{W}_\mathfrak{g}$ algebras. We write down the crossing equations for mixed four-point functions $\langle S_{k_1} S_{k_2}S_{k_3}S_{k_4}\rangle$ of 1/2-BPS operators $S_{k_i}$ in 6d (2,0) theories and detail how a certain twist reduces this system to a 2d meromorphic CFT multi-correlator bootstrap problem. We identify the relevant 6d (2,0) $\mathcal{W}$-algebras of t…