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Heat content asymptotics for sets with positive reach
Paolo De Fazio, Michele Miranda Jr
https://arxiv.org/abs/2507.23427 https://arxiv.org/pdf/2507.23427

Heat content asymptotics for sets with positive reach
In this paper we study the heat content for sets with positive reach. In details, we investigate the asymptotic behavior of the heat content of bounded subsets of the Euclidean space with positive reach. The concept of positive reach was introduced by Federer in \cite{fed_1959} and widely developed in the following years (see for instance the recent book by Rataj and Zh{ä}le \cite{rat_zah_2019}). It extends the class of sets with smooth boundaries to include certain non-smooth and singular set…

Enhancing Situational Awareness in ISAC Networks via Drone Swarms: A Real-World Channel Sounding Data Set
Julia Beuster, Carsten Andrich, Sebastian Giehl, Marc Miranda, Lorenz Mohr, Dieter Novotny, Tom Kaufmann, Christian Schneider, Reiner Thom\"a
https://arxiv.org/abs/2507.12010

Enhancing Situational Awareness in ISAC Networks via Drone Swarms: A Real-World Channel Sounding Data Set
With the upcoming capabilities of integrated sensing and communication (ISAC) and the incorporation of user equipment (UE) like unmanned aerial vehicles (UAVs) in 6G mobile networks, there is a significant opportunity to enhance situational awareness through multi-static radar sensing in meshed ISAC networks. This paper presents a real-world channel sounding data set acquired using a testbed with synchronized, distributed ground-based sensor nodes and flying sensor nodes within a swarm of up to…

Room-Temperature Surface Exciton Polaritons in Colloidal J-Aggregate Flakes
Carla Est\'evez-Varela, Jos\'e Nuno Gama, Miguel Castillo, Adelaide Miranda, Pieter De Beule, Jorge P\'erez-Juste, Martin Lopez-Garcia, Isabel Pastoriza-Santos, Sara N\'u\~nez-S\'anchez
https://arxiv.org/abs/2507.13784

Room-Temperature Surface Exciton Polaritons in Colloidal J-Aggregate Flakes
J-aggregates are promising organic materials for nanophotonic applications due to their excitonic properties and ability to support surface exciton polaritons at room temperature, providing a robust platform for nanoscale light manipulation. While thin films composed of J-aggregates have demonstrated these advantages, colloidal J-aggregate nanoparticles remain underexplored. Herein, we report the synthesis of colloidal J-aggregate flakes by electrostatic interaction of cyanine molecules (TDBC) …

Exploring new construction schemes for extended-hierarchy CI (ehCI) wavefunctions
Rugwed A. Lokhande, Carlos E. V. de Moura, Pratiksha B. Gaikwad, Ram\'on Alain Miranda-Quintana
https://arxiv.org/abs/2509.15190

Exploring new construction schemes for extended-hierarchy CI (ehCI) wavefunctions
Following the work of Loos et al. on hierarchy CI (hCI) we propose an extended way of partitioning the Hilbert space by combining the excitation and the seniority sectors in a more general way. We define the hierarchy parameter, h, involving two "weights" (alphas), measuring the importance of excitation (e) and seniority (s) contributions to the wavefunction according to: h = α1.e + α2.s. We test these new CI methods on the dissociation of chemical systems and analyze them based on the import…

Regularizing Effect for a Nonlocal Maxwell-Schr\"odinger System
Lu\'is Henrique de Miranda, Ayana Pinheiro de Castro Santana
https://arxiv.org/abs/2507.12294

Regularizing Effect for a Nonlocal Maxwell-Schrödinger System
In this paper we prove existence and regularity of weak solutions for the following system \begin{align*} \begin{cases} &-\mbox{div}\Bigg(\bigg(\|\nabla u\|^{p}_{L^{p}}+\|\nabla v\|^{p}_{L^{p}}\bigg)|\nabla u|^{p-2}\nabla u\Bigg) + g(x,u,v)=f \ \ \ \mbox{in} \ Ω; &-\mbox{div}\Bigg(\bigg(\|\nabla u\|^{p}_{L^{p}}+\|\nabla v\|^{p}_{L^{p}}\bigg)|\nabla v|^{p-2}\nabla v\Bigg) = h(x,u,v) \ \ \ \ \mbox{in} \ Ω; &u=v=0 \ \mbox{on} …