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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.

Crosslisted article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- On Rapid mixing for random walks on nilmanifolds
Dmitry Dolgopyat, Spencer Durham, Minsung Kim

Holonomy of the Obata connection on 2-step hypercomplex nilmanifolds
Adri\'an Andrada, Mar\'ia Laura Barberis, Beatrice Brienza
https://arxiv.org/abs/2508.07889 https://…

Holonomy of the Obata connection on 2-step hypercomplex nilmanifolds
We study the holonomy of the Obata connection on 2-step hypercomplex nilmanifolds. By explicitly computing the curvature tensor, we determine the conditions under which the Obata connection is flat, showing that this depends on the nilpotency step of each complex structure. In particular, we show that the holonomy algebra of the Obata connection is always an abelian subalgebra of $\mathfrak{sl}(n, \mathbb{H})$: to establish this, we prove the $\mathbb{H}$-solvable conjecture for 2-step hypercom…

Crosslisted article(s) found for astro-ph.SR. https://arxiv.org/list/astro-ph.SR/new
[1/1]:
- White dwarf-neutron star binaries: a plausible pathway for long-duration gamma-ray bursts from co...
Chrimes, Gaspari, Levan, Briel, Eldridge, Gompertz, Nelemans, Nugent, Rastinejad, van Zeis…

White dwarf-neutron star binaries: a plausible pathway for long-duration gamma-ray bursts from compact object mergers?
A. A. Chrimes, N. Gaspari, A. J. Levan, M. M. Briel, J. J. Eldridge, B. P. Gompertz, G. Nelemans, A. E. Nugent, J. C. Rastinejad, W. G. J. van Zeist
https://arxiv.org/abs/2508.10984

White dwarf-neutron star binaries: a plausible pathway for long-duration gamma-ray bursts from compact object mergers?
Two long-duration gamma-ray bursts were recently discovered with kilonovae, the signature of r-process element production in a compact binary merger, rather than supernovae. This has forced a re-evaluation of the long-established dichotomy between short bursts (< 2s, arising from compact binary mergers) and long bursts (> 2s, a class of massive star core-collapse event). We aim to determine whether white dwarf-neutron star (WDNS) and white dwarf-black hole (WDBH) mergers are plausible explanati…

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…

Molecular Hydrogen in High-redshift Damped Lyman-{\alpha} Absorbers
Alon Gurman, Amiel Sternberg, Shmuel Bialy, Rachel K. Cochrane, Jonathan Stern
https://arxiv.org/abs/2508.13080

Molecular Hydrogen in High-redshift Damped Lyman-α Absorbers
Simulations predict that circumgalactic hydrogen gas surrounding massive ($M_{\rm{halo}}^{z=1}=10^{12}-10^{13}\ M_{\odot}$) galaxies at $z\sim4$ may be predominantly neutral, and could produce damped Ly$α$ absorbers (DLAs) along sight-lines to background quasars \citep{Stern2021}. A circumgalactic medium (CGM) origin for DLAs naturally explains high redshift HI absorption-selected galaxy detections at physical separations much greater than the likely extents of the galaxy disks \citep{Neeleman…

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.

FAIR sharing of Chromatin Tracing datasets using the newly developed 4DN FISH Omics Format
Rahi Navelkar, Andrea Cosolo, Bogdan Bintu, Yubao Cheng, Vincent Gardeux, Silvia Gutnik, Taihei Fujimori, Antonina Hafner, Atishay Jay, Bojing Blair Jia, Adam Paul Jussila, Gerard Llimos, Antonios Lioutas, Nuno MC Martins, William J Moore, Yodai Takei, Frances Wong, Kaifu Yang, Huaiying Zhang, Quan Zhu, Magda Bienko, Lacramioara Bintu, Long Cai, Bart Deplancke, Marcelo Nollmann, Susan E Mango, Bi…

FAIR sharing of Chromatin Tracing datasets using the newly developed 4DN FISH Omics Format
A key output of the NIH Common Fund 4D Nucleome (4DN) project is the open publication of datasets on the structure of the human cell nucleus and genome. In recent years, multiplexed Fluorescence In Situ Hybridization (FISH) and FISH-omics methods have rapidly expanded, enabling quantification of chromatin organization in single cells, sometimes alongside RNA and protein measurements. These approaches have deepened our understanding of how 3D chromosome architecture relates to transcriptional ac…