Tootfinder

On generalized disc-polygons in plane convex bodies with a higher degree of smoothness
Ferenc Fodor, D\'aniel I. Papv\'ari
https://arxiv.org/abs/2509.11702 https://

On generalized disc-polygons in plane convex bodies with a higher degree of smoothness
We prove power series expansions for the expectations of the number of vertices and missed area of random $L$-convex polygons in planar convex bodies with sufficiently smooth boundaries. Random $L$-convex polygons arise as the intersection of all translates of a fixed convex set $L$ that contain i.i.d. uniform random points from a suitable plane convex body $K$. Our results extend the asymptotic formulas proved in Fodor, Papvári and Vígh (2020) and Fodor and Montenegro (2024), and have conseq…

"In 2020, Berlin passed a law that resulted in a five-year rent freeze [...] for 90% of the flats in the city. While the law offered relief to about 1.5 million households who had seen rents rise by an estimated third in the six years prior, it was ruled as unconstitutional in 2021 after Germany’s highest court sided with landlords and property investment lobbyists who had argued it was inappropriate and illegal for the state to meddle with the private market."

Europeans recognize Zohran Mamdani’s supposedly radical policies as ‘normal’
Critics of New York City’s mayor-elect have said his pledges of free bus service and universal childcare are unrealistic, but in Europe it’s a given

1997-2016 Instruction ⚖️
2016 : premier procès.
2017 : Spatz condamné Š 4 ans avec sursis. Les cadres sont déclarés « sous emprise ».
2020 : deuxième procès, 8 mois d’audiences. Verdict : Spatz coupable d’emprise, violences et abus sur mineurs, mais seulement 5 ans avec sursis.

Corrigendum to "Stability in the high-dimensional cohomology of congruence subgroups" [Compos. Math. 156 (2020), no. 4, 822-861]
Jeremy Miller, Rohit Nagpal, Peter Patzt
https://arxiv.org/abs/2508.14945

Corrigendum to "Stability in the high-dimensional cohomology of congruence subgroups" [Compos. Math. 156 (2020), no. 4, 822-861]
After the publication of [Compos. Math. 156 (2020), no. 4, 822-861], Andrew Putman pointed out a mistake in our paper and helped us fix it. In this note, we will explain what this mistake is and how to fix it.