Výsledky vyhľadávania - "Martinetti, Pierre"

Noncommutative Geometry and Optimal Transport Autor Martinetti, Pierre, Wallet, Jean-Christophe

“…This volume contains the proceedings of the Workshop on Noncommutative Geometry and Optimal Transport, held on November 27, 2014, in Besançon, France. The…”
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A View on Optimal Transport from Noncommutative Geometry Autor D'Andrea, Francesco, Martinetti, Pierre

“…We discuss the relation between the Wasserstein distance of order 1 between probability distributions on a metric space, arising in the study of…”
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Noncommutative geometry and optimal transport : Workshop on Noncommutative Geometry and Optimal Transport, November 27, 2014, Besançon, France Autor Workshop on Noncommutative Geometry and Optimal Transport, Martinetti, Pierre, Wallet, Jean-Christophe

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A critical survey of twisted spectral triples beyond the Standard Model Autor Filaci, Manuele, Martinetti, Pierre

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Gauge transformations for twisted spectral triples Autor Landi, Giovanni, Martinetti, Pierre

“…It is extended to twisted spectral triples the fluctuations of the metric as bounded perturbations of the Dirac operator that arises when a spectral triple is…”
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Connes distance and optimal transport Autor Martinetti, Pierre

“…We give a brief overview on the relation between Connes spectral distance in noncommutative geometry and the Wasserstein distance of order 1 in optimal…”
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Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity Autor Martinetti, Pierre

“…Noncommutative geometry in its many incarnations appears at the crossroad of many researches in theoretical and mathematical physics: from models of quantum…”
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Minimal twist for the Standard Model in noncommutative geometry: The field content Autor Filaci, Manuele, Martinetti, Pierre, Pesco, Simone

“…Noncommutative geometry provides both a unified description of the Standard Model of particle physics together with Einstein-Hilbert action (in Euclidean…”
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On Twisting Real Spectral Triples by Algebra Automorphisms Autor Landi, Giovanni, Martinetti, Pierre

“…We systematically investigate ways to twist a real spectral triple via an algebra automorphism and in particular, we naturally define a twisted partner for any…”
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Lorentzian fermionic action by twisting Euclidean spectral triples Autor Martinetti, Pierre, Singh, Devashish

“…We show how the twisting of spectral triples induces a transition from a Euclidean to a Lorentzian noncommutative geometry at the level of the fermionic…”
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Twisted Spectral Triple for the Standard Model and Spontaneous Breaking of the Grand Symmetry Autor Devastato, Agostino, Martinetti, Pierre

“…Grand symmetry models in noncommutative geometry, characterized by a non-trivial action of functions on spinors, have been introduced to generate minimally…”
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Grand symmetry, spectral action and the Higgs mass Autor Devastato, Agostino, Lizzi, Fedele, Martinetti, Pierre

“…A bstract In the context of the spectral action and the noncommutative geometry approach to the standard model, we build a model based on a larger symmetry…”
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Twisted spectral geometry for the standard model Autor Martinetti, Pierre

“…In noncommutative geometry, the spectral triple of a manifold does not generate bosonic fields, for fluctuations of the Dirac operator vanish. A…”
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Noncommutative Geometry of the Moyal Plane: Translation Isometries, Connes’ Distance on Coherent States, Pythagoras Equality Autor Martinetti, Pierre, Tomassini, Luca

“…We study the metric aspect of the Moyal plane from Connes’ noncommutative geometry point of view. First, we compute Connes’ spectral distance associated with…”
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Real Part of Twisted-by-Grading Spectral Triples Autor Filaci, Manuele, Martinetti, Pierre

“…After a brief review on the applications of twisted spectral triples to physics, we adapt to the twisted case the notion of real part of a spectral triple. In…”
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A dual formula for the spectral distance in noncommutative geometry Autor D’Andrea, Francesco, Martinetti, Pierre

“…In noncommutative geometry, Connes’s spectral distance is an extended metric on the state space of a C∗-algebra generalizing Kantorovich’s dual formula of the…”
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Noncommutative geometry and optimal transport: Workshop on Noncommutative Geometry and Optimal Transport, November 27, 2014, Besanðcon, France Autor Martinetti, Pierre

“…This volume contains the proceedings of the Workshop on Noncommutative Geometry and Optimal Transport, held on November 27, 2014, in Besançon, France.The…”
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Spectral geometry with a cut-off: Topological and metric aspects Autor D’Andrea, Francesco, Lizzi, Fedele, Martinetti, Pierre

“…Inspired by regularization in quantum field theory, we study topological and metric properties of spaces in which a cut-off is introduced. We work in the…”
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From Monge to Higgs: a survey of distance computations in noncommutative geometry Autor Martinetti, Pierre

“…This is a review of explicit computations of Connes distance in noncommutative geometry, covering finite dimensional spectral triples, almost-commutative…”
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Spectral distance on the circle Autor Martinetti, Pierre

“…A building block of non-commutative geometry is the observation that most of the geometric information of a compact Riemannian spin manifold M is encoded…”
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