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Documents  81Q35 | enregistrements trouvés : 8

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- xvii; 261 p.
ISBN 978-2-85629-895-4

Séminaires et congrès , 0032

Localisation : Collection 1er étage

théorie spectrale # opérateur non borné # opérateur discret # extension auto-adjointe # théorie des perturbations # opérateur de Schrödinger # graphe combinatoire # graphe quantique # variété CR # graphe aléatoire

35Pxx ; 39Axx ; 58JXX ; 05Cxx ; 47Axx ; 81Q35 ; 32V30 ; 82B44

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Research talks;Analysis and its Applications;Dynamical Systems and Ordinary Differential Equations;Mathematical Physics

In this talk we explain how the Fibonacci trace map arises from the Fibonacci substitution and leads to a unified framework in which a variety of models can be studied. We discuss the associated foliations, hyperbolic sets, stable and unstable manifolds, and how the intersections of the stable manifolds with the model-dependent curve of initial conditions allow one to translate dynamical into spectral results.

81Q10 ; 81Q35 ; 37D20 ; 37D50

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Research talks

We show that the spectrum of fundamental particles of matter and their symmetries can be encoded in a finite quantum geometry equipped with a supplementary structure connected with the quark-lepton symmetry. The occurrence of the exceptional quantum geometry for the description of the standard model with 3 generations is suggested. We discuss the field theoretical aspect of this approach taking into account the theory of connections on the corresponding Jordan modules. We show that the spectrum of fundamental particles of matter and their symmetries can be encoded in a finite quantum geometry equipped with a supplementary structure connected with the quark-lepton symmetry. The occurrence of the exceptional quantum geometry for the description of the standard model with 3 generations is suggested. We discuss the field theoretical aspect of this approach taking into account the theory of connections on the ...

81R10 ; 17C90 ; 20G41 ; 81Q35 ; 17C40

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Research talks

Continuous quantum walks are of great interest in quantum computing and, over the last decade, my group has been studying this topic intensively. As graph theorists, one of our main goals has been to get a better understanding of the relation between the properties of a walk and the properties of the underlying graph. We have had both successes and failures. The failures lead to a number of interesting open questions, which I will present in my talk. Continuous quantum walks are of great interest in quantum computing and, over the last decade, my group has been studying this topic intensively. As graph theorists, one of our main goals has been to get a better understanding of the relation between the properties of a walk and the properties of the underlying graph. We have had both successes and failures. The failures lead to a number of interesting open questions, which I will present in my ...

05C50 ; 81Q35

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Research talks

The coined quantum walk is a discretization of the Dirac equation of relativistic quantum mechanics, and it is a useful model for developing quantum algorithms. For example, many quantum spatial search algorithms are based on coined quantum walks. In this talk, we explore a lazy version of the coined quantum walk, called a lackadaisical quantum walk, which uses a weighted self-loop at each vertex so that the walker has some amplitude of staying put. We show that lackadaisical quantum walks can solve the spatial search problem more quickly than a regular, coined quantum walk for avariety of graphs, suggesting that it is a useful tool for improving quantum algorithms. The coined quantum walk is a discretization of the Dirac equation of relativistic quantum mechanics, and it is a useful model for developing quantum algorithms. For example, many quantum spatial search algorithms are based on coined quantum walks. In this talk, we explore a lazy version of the coined quantum walk, called a lackadaisical quantum walk, which uses a weighted self-loop at each vertex so that the walker has some amplitude of staying ...

81Q35

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- xiii; 581 p.
ISBN 978-3-03719-175-0

Series of congress reports

Localisation : Ouvrage RdC (FUNC)

opérateur de Schrödinger # interaction ponctuelle # métrique # guide d'ondes quantiques # estimation de valeur propre # fonction évaluée par l'opérateur # théorème de Cayley-Hamilton # théorème adiabatique

81Q37 ; 81Q35 ; 35P15 ; 35P25

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- xiv; 326 p.
ISBN 978-1-4704-1913-4

Graduate studies in mathematics , 0168

Localisation : Collection 1er étage;Réserve

opérateur aléatoire # analyse stochastique # modèle ordre-désordre # spectre quantique # dynamique quantique # ergodicité # fonction de Green # fonction de Herglotz-Pick

82B44 ; 60H25 ; 47B80 ; 81Q10 ; 81Q35 ; 82D30 ; 46N50 ; 82-02 ; 81V70

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- xi; 266 p.
ISBN 978-1-4704-4880-6

CBMS regional conference series in mathematics , 0128

Localisation : Collection 1er étage

analyse harmonique # théorie de la mesure # variable duale # fractale

28A80 ; 81Q35 ; 11K70 ; 60J70 ; 42C40 ; 60G22 ; 37A45 ; 42B37

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