Tootfinder

A Bayesian approach to modelling spectrometer data chromaticity corrected using beam factors -- II. Model priors and posterior odds
Peter H. Sims, Judd D. Bowman, Steven G. Murray, John P. Barrett, Rigel C. Cappallo, Colin J. Lonsdale, Nivedita Mahesh, Raul A. Monsalve, Alan E. E. Rogers, Titu Samson, Akshatha K. Vydula
https://…

A Bayesian approach to modelling spectrometer data chromaticity corrected using beam factors -- II. Model priors and posterior odds
The reliable detection of the global 21-cm signal, a key tracer of Cosmic Dawn and the Epoch of Reionization, requires meticulous data modelling and robust statistical frameworks for model validation and comparison. In Paper I of this series, we presented the Beam-Factor-based Chromaticity Correction (BFCC) model for spectrometer data processed using BFCC to suppress instrumentally induced spectral structure. We demonstrated that the BFCC model, with complexity calibrated by Bayes factor-based …

On the classification of $C^*$-algebras of twisted isometries with finite dimensional wandering spaces
Shreema Subhash Bhatt, Surajit Biswas, Bipul Saurabh
https://arxiv.org/abs/2506.15824

On the classification of $C^*$-algebras of twisted isometries with finite dimensional wandering spaces
Let \( m, n \in \mathbb{N}_0 \), and let \( X \) be a closed subset of \( \mathbb{T}^{\binom{m+n}{2}} \). We define \( C^{m,n}_X \) to be the universal \( C^* \)-algebra among those generated by \( m \) unitaries and \( n \) isometries satisfying doubly twisted commutation relations with respect to a twist \( \mathcal{U} = \{U_{ij}\}_{1 \leq i < j \leq m+n} \) of commuting unitaries having joint spectrum \( X \). We provide a complete list of the irreducible representations of \( C^{m,n}_X \)…

TeV spectral bump of cosmic-ray protons and helium nuclei: the role of nearby supernova remnants
Sourav Bhadra, Satyendra Thoudam, Biman B Nath, Prateek Sharma
https://arxiv.org/abs/2506.18681

TeV spectral bump of cosmic-ray protons and helium nuclei: the role of nearby supernova remnants
The existence of nearby discrete cosmic-ray sources can lead to many interesting effects on the observed properties of cosmic rays. Recent measurements of cosmic rays with the CALET and the DAMPE experiments have revealed a bump-like new feature in the proton and helium spectra in the energy range of ~ (1-100) TeV/nucleon. The origin of the feature is not clearly understood. In this paper, considering an improved and more detailed analysis than previous works, and using an updated age and dista…

Quasinormal modes and grey-body factors of axial gravitational perturbations of regular black holes in asymptotically safe gravity
Qi-Long Shi, Rui Wang, Wei Xiong, Peng-Cheng Li
https://arxiv.org/abs/2506.16217

Quasinormal modes and grey-body factors of axial gravitational perturbations of regular black holes in asymptotically safe gravity
In this paper, we present a detailed study of axial gravitational perturbations of the regular black hole solution in asymptotically safe gravity, as proposed in \cite{Bonanno:2023rzk}. We analyze the quasinormal mode (QNM) spectrum of this black hole using two numerical techniques: the Bernstein spectral method and the asymptotic iteration method (AIM). These approaches allow us to compute QNM frequencies with high accuracy, even for higher overtones. Our results show that the fundamental mode…

This👇needs to be remembered. https://substack.com/@johncleese/note/c-125827219?r=e7vv

John Cleese on Substack
Steve Bannon illustrates the key point we made in ‘The Life of Brian’ - that people makes what they like of religious teaching Matthew 26,52 And then Jesus said unto him ‘Put your sword back into its place, for those who take the sword will perish by the sword” Steve Bannon has rewritten this as “Live by the sword, die by the sword” as though it was a command. I prefer Jesus’s warning of the consequences of violence Only a MAGA Christian could believe that Christ was inciti…

This👇needs to be remembered. https://substack.com/@johncleese/note/c-125827219?r=e7vv

John Cleese on Substack
Steve Bannon illustrates the key point we made in ‘The Life of Brian’ - that people makes what they like of religious teaching Matthew 26,52 And then Jesus said unto him ‘Put your sword back into its place, for those who take the sword will perish by the sword” Steve Bannon has rewritten this as “Live by the sword, die by the sword” as though it was a command. I prefer Jesus’s warning of the consequences of violence Only a MAGA Christian could believe that Christ was inciti…

The overflow in the Katona Theorem
Peter Frankl, Jian Wang
https://arxiv.org/abs/2506.05704 https://arxiv.org/pdf/2506.05704

The overflow in the Katona Theorem
Let $n>2r>0$ be integers. We consider families $\mathcal{F}$ of subsets of an $n$-element set, in which the union of any two members has size at most $2r$. One of our results states that for $n\geq 6r$ the number of members of size exceeding $r$ in $\mathcal{F}$ is at most $\binom{n-2}{r-1}$. Another result shows that for $n>3.5r$ the number of sets of size at least $r$ is at most $\binom{n}{r}$. Both bounds are best possible and the latter sharpens the classical Katona Theorem. Similar results…

An Accurate and Efficient Vulnerability Propagation Analysis Framework
Bonan Ruan, Zhiwei Lin, Jiahao Liu, Chuqi Zhang, Kaihang Ji, Zhenkai Liang
https://arxiv.org/abs/2506.01342 …

An Accurate and Efficient Vulnerability Propagation Analysis Framework
Identifying the impact scope and scale is critical for software supply chain vulnerability assessment. However, existing studies face substantial limitations. First, prior studies either work at coarse package-level granularity, producing many false positives, or fail to accomplish whole-ecosystem vulnerability propagation analysis. Second, although vulnerability assessment indicators like CVSS characterize individual vulnerabilities, no metric exists to specifically quantify the dynamic impact…

Probing the Turbulent Corona and Heliosphere Using Radio Spectral Imaging Observation during the Solar Conjunction of Crab Nebula
Peijin Zhang, Surajit Mondal, Bin Chen, Sijie Yu, Dale Gary, Marin M. Anderson, Judd D. Bowman, Ruby Byrne, Morgan Catha, Xingyao Chen, Sherry Chhabra, Larry D'Addario, Ivey Davis, Jayce Dowell, Katherine Elder, Gregg Hallinan, Charlie Harnach, Greg Hellbourg, Jack Hickish, Rick Hobbs, David Hodge, Mark Hodges, Yuping Huang, Andrea Isella, Daniel C. Jaco…

Probing the Turbulent Corona and Heliosphere Using Radio Spectral Imaging Observation during the Solar Conjunction of Crab Nebula
Measuring plasma parameters in the upper solar corona and inner heliosphere is challenging because of the region's weakly emissive nature and inaccessibility for most in situ observations. Radio imaging of broadened and distorted background astronomical radio sources during solar conjunction can provide unique constraints for the coronal material along the line of sight. In this study, we present radio spectral imaging observations of the Crab Nebula (Tau A) from June 9 to June 22, 2024 when it…