Tootfinder

Guerre en Ukraine : le grand désarroi des russophones de Daugavpils, en Lettonie
https://www.lemonde.fr/international/article/2022/03/03/guerre-en-ukraine-le-grand-desarroi-des-r…

Guerre en Ukraine : le grand désarroi des russophones de Daugavpils, en Lettonie
Dans cette ville située près des frontières russe et biélorusse, la guerre en Ukraine déchire les familles, la population se divisant entre Russes ou russophones et Lettons. Vers qui doivent-ils se tourner ?

Propaganda and Information Dissemination in the Russo-Ukrainian War: Natural Language Processing of Russian and Western Twitter Narratives
Zaur Gouliev
https://arxiv.org/abs/2506.01807

Propaganda and Information Dissemination in the Russo-Ukrainian War: Natural Language Processing of Russian and Western Twitter Narratives
The conflict in Ukraine has been not only characterised by military engagement but also by a significant information war, with social media platforms like X, formerly known as Twitter playing an important role in shaping public perception. This article provides an analysis of tweets from propaganda accounts and trusted accounts collected from the onset of the war, February 2022 until the middle of May 2022 with n=40,000 total tweets. We utilise natural language processing and machine learning a…

This https://arxiv.org/abs/2505.06681 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Local well-posedness for a system of quadratic derivative nonlinear Schrödinger equations
We consider the Cauchy problem for a system of quadratic derivative nonlinear Schrödinger equations introduced by M. Colin and T. Colin (2004) as a model of laser-plasma interaction. Under the condition that the flow map fails to be twice differentiable, Hirayama, Kinoshita, and Okamoto (2022) proved the well-posedness by constructing a modified energy and applying the energy method. In the present paper, we improve the well-posedness result under the above condition by using the short-time Fo…

Nach Rücksprache mit den Buch-Herausgebern und dem Verlag darf ich meine jüngste (und ausführlichste) Publikation zu generativen Machine-Learning-Systemen (GMLS) vom Januar 2025 bereits jetzt online zur Verfügung stellen: https://zenodo.org/records/15042499

A large scaling property of level sets for degenerate $p$-Laplacian equations with logarithmic BMO matrix weights
Thanh-Nhan Nguyen, Minh-Phuong Tran
https://arxiv.org/abs/2506.00390

A large scaling property of level sets for degenerate $p$-Laplacian equations with logarithmic BMO matrix weights
In this study, we deal with generalized regularity properties for solutions to $p$-Laplace equations with degenerate matrix weights. It has already been observed in previous interesting works [A. Kh. Balci, L. Diening, R. Giova, A. Passarelli di Napoli, SIAM J. Math. Anal. 54(2022), 2373-2412] and [A. Kh. Balci, S.-S. Byun, L. Diening, H.-S. Lee, J. Math. Pures Appl. (9) 177(2023), 484-530] that gaining Calderón-Zygmund estimates for nonlinear equations with degenerate weights under the so-cal…

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS
Tadahiro Oh, Yuzhao Wang
https://arxiv.org/abs/2505.24271 https://…

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS
In a seminal paper (1996), Bourgain proved invariance of the Gibbs measure for the defocusing cubic nonlinear Schrödinger equation on the two-dimensional torus by constructing local-in-time solutions in a probabilistic manner. In this note, we revisit and streamline his argument, using the random tensor estimate developed by Deng, Nahmod, and Yue (2022).