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Remarks on Diffeological Frobenius Reciprocity
Gabriele Barbieri, Jordan Watts, Francois Ziegler
https://arxiv.org/abs/2403.03927 https://

Remarks on Diffeological Frobenius Reciprocity
A recent paper [R22] established "Frobenius reciprocity" as a bijection $t$ between certain symplectically reduced spaces (which need not be manifolds), and conjectured: 1°) $t$ is a diffeomorphism when these spaces are endowed with their natural subquotient diffeologies, 2°) $t$ respects the reduced diffeological $2$-forms they may (or might not) carry. In this paper, we prove both this conjecture and a similar one on prequantum reduction, and also give new sufficient conditions for the redu…

This https://arxiv.org/abs/2211.03065 has been replaced.
link: https://scholar.google.com/scholar?q=a

Enabling Deep Learning-based Physical-layer Secret Key Generation for FDD-OFDM Systems in Multi-Environments
Deep learning-based physical-layer secret key generation (PKG) has been used to overcome the imperfect uplink/downlink channel reciprocity in frequency division duplexing (FDD) orthogonal frequency division multiplexing (OFDM) systems. However, existing efforts have focused on key generation for users in a specific environment where the training samples and test samples follow the same distribution, which is unrealistic for real-world applications. This paper formulates the PKG problem in multi…