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20022025
most citedFirst results from the OSQAR photon regeneration experiment: No light shining through a wall

116 citations

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math.PR2024

On the curvatures of random complex submanifolds

Michele Ancona, Damien Gayet

For any integers and satisfying , we show that the expected volume fraction of a random degree complex submanifold of $\C\mathbb{P}^n$…

math.NT2024

The convergence Newton polygon of a -adic differential equation IV : controlling graphs

Jérôme Poineau, Andrea Pulita

In our previous works we proved a finiteness property of the radii of convergence functions associated with a vector bundle with connection on -adic analytic curves. We showed t…

math.NT2024

Regular singular differential modules over differential rings

Andrea Pulita

We obtain Fuchs decomposition theorem for regular singular differential modules over a large class of differential rings. We provide a definition of regularity inspired by differen…

gr-qc2024

Linear Stability of Schwarzschild-Anti-de Sitter spacetimes III: Quasimodes and sharp decay of gravitational perturbations

Olivier Graf, Gustav Holzegel

In this last part of the series we prove that the slow (inverse logarithmic) decay in time of solutions to the linearised Einstein equations on Schwarzschild-Anti-de Sitter backgro…

math.PR2024

Fractal behavior for nodal lines of smooth planar Gaussian fields at criticality

David Vernotte

This paper is devoted to the study of the large scale geometry of the excursion set and nodal set of a planar smooth Gaussian field at criticality . We prove that th…

math.NT2024

Transcendence of values of logarithms of -functions

Stéphane Fischler, Tanguy Rivoal

Let be an -function (in Siegel's sense) not of the form , , and let denote any fixed determination of the complex logarithm. We fi…