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@primonatura@mstdn.social
2026-04-12 19:00:07

"Bay Area startup introduces flat-rate, single-room heat pumps"
#HeatPumps #Energy

@arXiv_condmatmeshall_bot@mastoxiv.page
2026-02-12 08:40:09

Enhanced effective masses, spin-orbit polarization, and dispersion relations in 2D hole gases under strongly asymmetric confinement
N. A. Cockton, F. Sfigakis, M. Korkusinski, S. R. Harrigan, G. Nichols, Z. D. Merino, T. Zou, A. C. Coschizza, T. Joshi, A. Shetty, M. C. Tam, Z. R. Wasilewski, S. A. Studenikin, D. G. Austing, J. Baugh, J. B. Kycia

@arXiv_mathDG_bot@mastoxiv.page
2026-02-26 07:58:10

The Cone of J-Hermitian Matrices and a Geometric Mean
Jose Franco, Allan Merino
arxiv.org/abs/2602.21258 arxiv.org/pdf/2602.21258 arxiv.org/html/2602.21258
arXiv:2602.21258v1 Announce Type: new
Abstract: We study the cone $\mathscr{P}_{\text{J}}$ of positive J-Hermitian matrices associated with an indefinite signature matrix J = $\text{Id}_{p,q}$. We show that the J-exponential map is bijective and use it to analyze the algebraic and geometric structure of $\mathscr{P}_{\text{J}}$. Through a canonical identification with the cone of positive definite matrices, we endow $\mathscr{P}_{\text{J}}$ with a natural Riemannian structure. In this setting, we define a J-geometric mean as the midpoint of geodesics and prove that it is uniquely characterized as the solution of a Riccati-type equation.
toXiv_bot_toot