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The Brauer–Manin obstruction provides a powerful framework for explaining failures of the Hasse principle for rational points on algebraic varieties. While many known examples arise from the algebraic part of the Brauer group, comparatively few...

For two multiplicatively independent positive integers p and q, Furstenberg (2019) conjectured that the transformations px mod 1 and qx mod1 are transverse. This means that the Hausdorff dimension of the intersection of two closed invariant sets is...

Since its inception in the early 2000s, compressive sensing has become a well-established paradigm for efficient signal recovery, with applications ranging from medical imaging to scientific computing. More recently, data-driven reconstruction...

Abstract TBA

We consider a magnetized plasma (in the case of a tokamak) where the density of ions $ n_0$ as well as the imposed vertical magnetic field $B_0$ dépend on the horizontal variable $x$. The linearized system of Euler-Maxwell équations (system of 10...