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The distribution of symmetry of Lorentzian naturally reductive nilmanifolds
Brian Luporini, Silvio Reggiani, Francisco Vittone
https://arxiv.org/abs/2509.10622 https://

The distribution of symmetry of Lorentzian naturally reductive nilmanifolds
We study $2$-step nilpotent Lorentzian Lie groups $N$, which are naturally reductive with respect to a certain class of transitive subgroups of isometries. We describe the isotropy representation and prove that its fixed points give raise to the distribution of symmetry of $N$. This generalizes some known results for the Riemannian case.

Growth control of highly textured Bi2Te3 thin films by pulsed laser deposition
Damian Brzozowski, Yu Liu, Karola Neeleman, Magnus Nord, Ingrid G. Hallsteinsen
https://arxiv.org/abs/2510.10479

Growth control of highly textured Bi2Te3 thin films by pulsed laser deposition
Two-dimensional materials have attracted growing interest due to their unique electronic properties and potential applications in spintronics. Interfacing strongly spin-orbit-coupled chalcogenides with functional oxides such as perovskites has a particularly high potential. In this work, highly textured Bi2Te3 thin films were deposited on (111) oriented SrTiO3 by pulsed laser deposition. We show that, by careful selection of the temperature and pressure of growth, the film's stoichiometry can b…

On Rapid mixing for random walks on nilmanifolds
Dmitry Dolgopyat, Spencer Durham, Minsung Kim
https://arxiv.org/abs/2510.00398 https://arxiv.org/pdf/2510.…

On Rapid mixing for random walks on nilmanifolds
We prove rapid mixing for almost all random walks generated by $m$ translations on an arbitrary nilmanifold under mild assumptions on the size of $m$. For several classical classes of nilmanifolds, we show $m=2$ suffices. This provides a partial answer to the question raised in \cite{D02} about the prevalence of rapid mixing for random walks on homogeneous spaces.

Rabäh, Rabäh! Hieß es damals, Doitschland brauche unbedingtst eine handlungsfähige Regierung, aber nur schwer besoffene Dorfdeppen glauben heute noch, daß es mit der kommissarischen rot-grünen Scholz-Regierung schlechter gewesen wäre als mit dem verluderten Stinkekanzler und seiner Nullnummerntruppe.

Crosslisted article(s) found for math.DG. https://arxiv.org/list/math.DG/new
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- On Rapid mixing for random walks on nilmanifolds
Dmitry Dolgopyat, Spencer Durham, Minsung Kim