Tootfinder

Improved H2-He and H2-H2 Collision-Induced Absorption Models and Application to Outer-Planet Atmospheres
Glenn S. Orton, Magnus Gustafsson, Leigh N. Fletcher, Michael T. Roman, James A. Sinclair
https://arxiv.org/abs/2506.09257

Improved H2-He and H2-H2 Collision-Induced Absorption Models and Application to Outer-Planet Atmospheres
Using state-of-the-art ab initio interaction-induced dipole and potential-energy surfaces for hydrogen-helium (H2-He) pairs, we compute the rototranslational collision-induced absorption coefficient at 40-400 K for frequencies covering 0-4000 cm-1. The quantum mechanical scattering calculations account for the full anisotropic interaction potential, replacing the isotropic approximation. The absorption data are expected to be accurate with an uncertainty of 2% or better up to 2500 cm-1. The unc…

Prym varieties and projective structures on Riemann surfaces
Indranil Biswas, Alessandro Ghigi, Luca Vai
https://arxiv.org/abs/2506.02871 https://

Prym varieties and projective structures on Riemann surfaces
Given an étale double covering $π\, :\, \widetilde{C}\, \longrightarrow\, C$ of compact Riemannsurfaces with $C$ of genus at least two, we use the Prym variety of the cover to construct canonical projective structures on both $\widetilde C$ and $C$. This construction can be interpreted as a section of an affine bundle over the moduli space of étale double covers. The $\overline{\partial}$--derivative of this section is a (1,1)--form on the moduli space. We compute this derivative in terms of…

HouseTS: A Large-Scale, Multimodal Spatiotemporal U.S. Housing Dataset
Shengkun Wang, Yanshen Sun, Fanglan Chen, Linhan Wang, Naren Ramakrishnan, Chang-Tien Lu, Yinlin Chen
https://arxiv.org/abs/2506.00765

HouseTS: A Large-Scale, Multimodal Spatiotemporal U.S. Housing Dataset
Accurate house-price forecasting is essential for investors, planners, and researchers. However, reproducible benchmarks with sufficient spatiotemporal depth and contextual richness for long horizon prediction remain scarce. To address this, we introduce HouseTS a large scale, multimodal dataset covering monthly house prices from March 2012 to December 2023 across 6,000 ZIP codes in 30 major U.S. metropolitan areas. The dataset includes over 890K records, enriched with points of Interest (POI),…

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups
Finn G. Maurer, Erlend A. Basso, Henrik M. Schmidt-Didlaukies, Torleiv H. Bryne
https://arxiv.org/abs/2506.01514

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups
This paper derives the extended Kalman filter (EKF) for continuous-time systems on matrix Lie groups observed through discrete-time measurements. By modeling the system noise on the Lie algebra and adopting a Stratonovich interpretation for the stochastic differential equation (SDE), we ensure that solutions remain on the manifold. The derivation of the filter follows classical EKF principles, naturally integrating a necessary full-order covariance reset post-measurement update. A key contribut…

Genus zero Whitham hierarchy via Hurwitz--Frobenius manifolds
Alexey Basalaev
https://arxiv.org/abs/2507.07615 https://arxiv.org/pdf/…

Genus zero Whitham hierarchy via Hurwitz--Frobenius manifolds
B. Dubrovin introduced the structure of a Dubrovin--Frobenius manifold on a space of ramified coverings of a sphere by a genus $g$ Riemann surface with the prescribed ramification profile. This is now known as a genus $g$ Hurwitz--Frobenius manifold. We investigate the genus zero Hurwitz--Frobenius manifolds and their connection to the integrable hierarchies. In particular, we prove that the Frobenius potentials of the genus zero Hurwitz--Frobenius manifolds stabilize and therefore define an in…

This https://arxiv.org/abs/2505.12364 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On a Riemann-Roch formula for stacks with finite cyclotomic inertia
B. Toen defined a Riemann-Roch map from the rational algebraic K-theory of a tame Deligne-Mumford quotient stack to the étale K-theory of its inertia. He proved that this map is an isomorphism and that it is covariant with respect to proper maps. Moreover G. Vezzosi and A. Vistoli proved a decomposition theorem for the equivariant K-theory of a noetherian scheme. In this paper we give a geometric definition of the Vezzosi-Vistoli decomposition, interpreting the pieces as corresponding to the c…

Confined acoustic phonons in CsPbI3 nanocrystals explored by resonant Raman scattering on excitons
Carolin Harkort, Ina V. Kalitukha, Nataliia E. Kopteva, Mikhail O. Nestoklon, Serguei V. Goupalov, Lucien Saviot, Dennis Kudlacik, Dmitri R. Yakovlev, Elena V. Kolobkova, Maria S. Kuznetsova, Manfred Bayer
https://arxiv.org/abs/250…

Confined acoustic phonons in CsPbI3 nanocrystals explored by resonant Raman scattering on excitons
Optical properties of the lead halide perovskites nanocrystals are controlled by confined excitons and rich spectrum of confined acoustic and optical phonons. We study experimentally and theoretically the exciton-phonon interaction in CsPbI3 perovskite nanocrystals embedded in a glass matrix. Energies of phonon modes allowed by selection rules are detected by resonant Raman scattering for nanocrystals with sizes of 4-13 nm, covering exciton energies of 1.72-2.25 eV. While optical phonon energie…