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This https://arxiv.org/abs/2410.04394 has been replaced.
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A combinatorial approach to nonlinear spectral gaps
A seminal open question of Pisier and Mendel--Naor asks whether every degree-regular graph which satisfies the classical discrete Poincaré inequality for scalar functions, also satisfies an analogous inequality for functions taking values in \textit{any} normed space with non-trivial cotype. Motivated by applications, it is also greatly important to quantify the dependence of the corresponding optimal Poincaré constant on the cotype $q$. Works of Odell--Schlumprecht (1994), Ozawa (2004), and …

Element nucleosynthetic origins from abundance spatial distributions beyond the Milky Way
Zefeng Li, Mark R. Krumholz, Anna F. McLeod, A. Mark Swinbank, Emily Wisnioski, J. Trevor Mendel, Francesco Belfiore, Giovanni Cresci, Giacomo Venturi, Jialai Kang
https://arxiv.org/abs/2506.21365

Element nucleosynthetic origins from abundance spatial distributions beyond the Milky Way
An element's astrophysical origin should be reflected in the spatial distribution of its abundance, yielding measurably different spatial distributions for elements with different nucleosynthetic sites. However, most extragalactic multi-element analyses of gas-phase abundances to date have been limited to small numbers of sightlines, making statistical characterization of differences in spatial distributions of elements impossible. Here we use integrated field spectroscopic data covering the fu…

Probing neutral outflows in z ~ 2 galaxies using JWST observations of Ca II H and K absorption lines
Caterina Liboni, Sirio Belli, Letizia Bugiani, Rebecca Davies, Minjung Park, Charlie Conroy, Razieh Emami, Benjamin D. Johnson, Amir H. Khoram, Joel Leja, Gabriel Maheson, Matteo Sapori, Trevor Mendel, Sandro Tacchella, Rainer Weinberger
https://

Probing neutral outflows in z ~ 2 galaxies using JWST observations of Ca II H and K absorption lines
Using deep JWST/NIRSpec spectra from the Blue Jay survey, we perform the first systematic investigation of neutral gas content in massive galaxies at Cosmic Noon based on the Ca II H, K absorption lines. We analyze a sample of 9 galaxies at 1.8 < z < 2.8 with stellar masses > 10.6, for which we detect neutral gas absorption both in Ca II and in Na I. After removing the stellar continuum using the best-fit model obtained with Prospector, we fit the excess absorption due to neutral gas in the Ca …

Evolution of Gas Velocity Dispersion in Discs from $z\sim8$ to $z\sim0.5$
E. Wisnioski, J. T. Mendel, R. Leaman, T. Tsukui, H. \"Ubler, N. M. F\"orster Schreiber
https://arxiv.org/abs/2505.24129

Evolution of Gas Velocity Dispersion in Discs from $z\sim8$ to $z\sim0.5$
Together optical/near infrared integral field spectroscopy and resolved sub-millimetre interferometry data have mapped the ionised and molecular gas motions in nearly one thousand galaxies at redshifts $z>0.5$. While these measurements have revealed a number of key properties about the evolution of disc structure and kinematics, heterogenous techniques and samples have led to disparate findings - especially when comparing different dynamical tracers (e.g., H$α$, [C$\scriptstyle\rm~II$], CO). I…