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Replaced article(s) found for math.CA. https://arxiv.org/list/math.CA/new
[1/1]:
- Weak $L^2$ bound of the lacunary Carleson operator for the non-linear Fourier transform
Gevorg Mnatsakanyan

Modeling Complex Life Systems: Bayesian Inference for Weibull Failure Times Using Adaptive MCMC
Tobias Oketch, Mohammad Sepehrifar
https://arxiv.org/abs/2506.11949

Modeling Complex Life Systems: Bayesian Inference for Weibull Failure Times Using Adaptive MCMC
This research develops a Bayesian framework for analyzing failure times using the Weibull distribution, addressing challenges in prior selection due to the lack of conjugate priors and multi-dimensional sufficient statistics. We propose an adaptive semi-parametric MCMC algorithm for lifetime data analysis, employing a hierarchical Bayesian model and the No-U-Turn Sampler (NUTS) in STAN. Twenty-four combinations of prior distributions are evaluated, with a noninformative LogNormal hyper-prior en…

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
Wasilij Barsukow, Christian Klingenberg, Lisa Lechner, Jan Nordstr\"om, Sigrun Ortleb, Hendrik Ranocha
https://arxiv.org/abs/2507.11068

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
The Active Flux method is a numerical method for conservation laws using a combination of cell averages and point values, based on ideas from finite volumes and finite differences. This unusual mix has been shown to work well in many situations. We expand the theoretical justifications of the Active Flux method by analyzing it from the point of view of summation-by-parts (SBP) operators, which are routinely used to analyze finite difference, finite volume, and finite element schemes. We show th…

Validation of Fast Mocks Generation for CSST Photometric Survey
Yiming Hu, Yu Yu
https://arxiv.org/abs/2506.13262 https://arxiv.org/p…

Validation of Fast Mocks Generation for CSST Photometric Survey
Weak lensing has become a powerful tool for probing the matter distribution in the Universe and constraining cosmological parameters. This paper aims to explore the fast mock generation pipeline to obtain the covariance matrix of the $3\times 2$pt analysis for the upcoming China Space Station Telescope (CSST). We adopt the $N_\mathrm{side}$ pipeline, which generates matter distribution with lognormal assumptions, to create full-sky galaxy mocks with certain two-point statistics. We also employ …

Worlds Next Door: A Candidate Giant Planet Imaged in the Habitable Zone of $\alpha$ Cen A. II. Binary Star Modeling, Planet and Exozodi Search, and Sensitivity Analysis
Aniket Sanghi, Charles Beichman, Dimitri Mawet, William O. Balmer, Nicolas Godoy, Laurent Pueyo, Anthony Boccaletti, Max Sommer, Alexis Bidot, Elodie Choquet, Pierre Kervella, Pierre-Olivier Lagage, Jarron Leisenring, Jorge Llop-Sayson, Michael Ressler, Kevin Wagner, Mark Wyatt

Worlds Next Door: A Candidate Giant Planet Imaged in the Habitable Zone of $α$ Cen A. II. Binary Star Modeling, Planet and Exozodi Search, and Sensitivity Analysis
JWST observed our closest solar twin, $α$ Cen A, with the MIRI coronagraph in F1550C (15.5 $μ$m) at three distinct epochs between August 2024 and April 2025. For the first time with JWST, we demonstrate the application of reference star differential imaging to simultaneously subtract the coronagraphic image of a primary star and the point spread function (PSF) of its binary companion to conduct a deep search for exoplanets and dust emission. We achieve a typical 5$σ$ point source contrast se…

On lacunarity and uniqueness for $p$-ary analogues of Rademacher chaos
A. D. Kazakova, M. G. Plotnikov
https://arxiv.org/abs/2507.23023 https://arxiv.org/p…

On lacunarity and uniqueness for $p$-ary analogues of Rademacher chaos
For two systems of functions that are p-ary analogues of Rademacher chaos, their q-lacunarity is proved and their uniqueness sets are studied.

The Hands-On Growth Laws Theory Cookbook
Rossana Droghetti, Mattia Corigliano, Ludovico Calabrese, Philippe Fuchs, Abhishek Vaidyanathan, Johannes Keisers, Gabriele Micali, Marco Cosentino Lagomarsino, Luca Ciandrini
https://arxiv.org/abs/2507.19194

The Hands-On Growth Laws Theory Cookbook
This tutorial covers the emerging field of coarse-grained cellular growth modeling, and aims to bridge the gap between theoretical foundations and practical application. By adopting an original "cookbook" approach, it is designed to offer a hands-on guide for constructing and analyzing different key aspects of cellular growth, focusing on available results for bacteria and beyond. The tutorial is structured as a series of step-by-step "recipes", and covers essential concepts, recent literature,…