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On the rate of convergence for Landau type Schr\"odinger Operators
Yucheng Pan, Wenchang Sun
https://arxiv.org/abs/2505.24568 https://

On the rate of convergence for Landau type Schrödinger Operators
We study the pointwise convergence of Landau type Schrödinger operators within the fractional Sobolev space $W^{s,p}(\mathbb R)$. Our results extend those established by Bailey (Rev. Mat. Iberoam., 29 (2): 531-546, 2013) and Yuan, Zhao and Zheng (Nonlinear Anal., 208: Paper No. 112312, 28, 2021). Furthermore, we also analyze the convergence rate of Landau type Schrödinger operators along curves and derive a sharp result for the case of convergence along vertical lines.

EUV Wave and Coronal Seismology
Pooja Devi, Ramesh Chandra, Arun Kumar Awasthi, Brigitte Schmieder, Reetika Joshi
https://arxiv.org/abs/2507.01400 https://…

EUV Wave and Coronal Seismology
We present an investigation of the Extreme-Ultraviolet (EUV) wave linked to the flare that occurred on 28 October 2021, along with the associated coronal loop oscillation and type II radio burst. The EUV wave was observed by multi-viewpoint with Solar Dynamics Observatory and Solar Terrestrial Relations Observatory - A. The associated coronal mass ejection (CME) was observed by Large Angle and Spectrometric Coronagraph (LASCO) as well by COR1 coronagraph. From the multi-view observation, we fou…

This https://arxiv.org/abs/2412.04265 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

On Extrapolation of Treatment Effects in Multiple-Cutoff Regression Discontinuity Designs
Regression discontinuity (RD) designs typically identify the treatment effect at a single cutoff point, which may not always be the primary interest. When and how, then, can we learn about treatment effects away from the cutoff? This paper addresses this question within a multiple-cutoff RD framework. We begin by examining the plausibility of the constant bias assumption proposed by Cattaneo, Keele, Titiunik, and Vazquez-Bare (2021) through the lens of rational decision-making behavior. We argu…