Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, Volume 298, Issue 9, Page 2942-2974, September 2025.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
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Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
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From Quantum Curves to Topological String Partition Functions. [PDF]
Commun Math Phys, 2023 Coman I, Pomoni E, Teschner J.
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Quantum Chern-Simons Theories on Cylinders: BV-BFV Partition Functions. [PDF]
Commun Math Phys, 2023 Cattaneo AS, Mnev P, Wernli K.
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About pushouts in the category φ(B) of Segal topological algebras
Proceedings of the Estonian Academy of Sciences, 2019 In this paper, we answer positively the open question, posed in [2], about the existence of pushouts in the category φ(B) of Segal topological algebras.
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Scaling Limits of Lattice Quantum Fields by Wavelets. [PDF]
Commun Math Phys, 2021 Morinelli V +3 more
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Khovanov homotopy type, periodic links and localizations. [PDF]
Math Ann, 2021 Borodzik M, Politarczyk W, Silvero M.
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Detection of sitting posture using hierarchical image composition and deep learning. [PDF]
PeerJ Comput Sci, 2021 Kulikajevas A +2 more
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Quantum Fourier analysis. [PDF]
Proc Natl Acad Sci U S A, 2020 Jaffe A, Jiang C, Liu Z, Ren Y, Wu J.
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A Middle-Out Modeling Strategy to Extend a Colon Cancer Logical Model Improves Drug Synergy Predictions in Epithelial-Derived Cancer Cell Lines. [PDF]
Front Mol Biosci, 2020 Tsirvouli E +5 more
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