New Types of Almost Countable Dense Homogeneous Space by Abdalla Tallafha, Ahmed Al-Rawashdeh

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Quantum tug of war between randomness and symmetries on homogeneous spaces by Rahul Arvind, Kishor Bharti, Jun Yong Khoo, Dax Enshan Koh, Jian Feng Kong

“…We then introduce the Haar measure on the homogeneous space U/H, characterizing true randomness for H-equivalent systems. …”
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From homogeneous metric spaces to Lie groups by Cowling, Michael G., Kivioja, Ville, Le Donne, Enrico, Nicolussi Golo, Sebastiano, Ottazzi, Alessandro

Subjects: “…Homogeneous spaces…”
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Geometric quantum machine learning with horizontal quantum gates by Roeland Wiersema, Alexander F. Kemper, Bojko N. Bakalov, Nathan Killoran

“…We propose an alternative paradigm for the symmetry-informed construction of variational quantum circuits, based on homogeneous spaces, relaxing the overly stringent requirement of equivariance. …”
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Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials by Deroin, Bertrand, Matheus, Carlos

“…The strata of the moduli spaces of Abelian differentials are non-homogenous spaces carrying natural bi-algebraic structures. …”
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Not-Not as Another Spatial Logic of Constitutive Negation by Masamichi Tamura

“…Joining such efforts, the present review examines Hara’s 1987 book Space <From Function to Modality> (1987), which collects six interconnected essays written in 1975–1987, focusing especially on ‘On Homogenous Space’ in 1975 and ‘From Function To Modality’ and ‘Not-Not and a Spatial Tradition of Japan’ both in 1987 to trace the trajectory of his three main concepts ‘function,’ ‘homogenous space’ and ‘modality.” …”
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Groupes de Brauer algébriques modulo les constantes d’espaces homogènes et leurs compactifications by Linh, Nguyen Manh

“…We show that this inclusion is not always an isomorphism, even in the case where $X$ is a homogeneous space of a connected linear algebraic group over $K$. …”
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