Lucas Yudi Hataishi

Academic interests
Quantum groups, Operator Algebras, Monoidal Categories, Dynamical Systems
Background
Bachelor degree in physics (State University of Londrina, Brazil)
Master Degree in Mathematics ( Federal University of Porto Alegre, Brazil)
Preprints
Noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of Drinfeld doubles (arXiv:2105.03175)
joint work with E. Habbestad and S. Neshveyev (accepted for publication at JMPA)
Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples (arXiv:1804.01362)
joint work with A. Lopes, L. Cioletti and M. Stadlbauer
Publications
Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples (preprint on arXiv)
Noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of Drinfeld doubles (preprint on arXiv; accepted for publication in Journal de Mathématiques Pures et Appliquées)
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Habbestad, Erik; Yudi Hataishi, Lucas & Neshveyev, Sergey (2022). Noncommutative Poisson boundaries and Furstenberg–Hamana boundaries of Drinfeld doubles. Journal des Mathématiques Pures et Appliquées. ISSN 0021-7824. 159, p. 313–347. doi: 10.1016/j.matpur.2021.12.006.