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Quantum Feynman-Kac perturbations
Quantum stochastic cocycle Markovian cocycle quantum stochastic flow one-parameter semigroup
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2012/3/1
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von Neumann algebras by ...
Unitary perturbations of compressed N-dimensional shifts
Hardy space model subspaces Aleksandrov disintegration theorem Clark’s unitary peturbations Aleksandrov-Clark measures
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2011/9/14
Abstract: Given a purely contractive matrix-valued analytic function $\Theta$ on the unit disc $\bm{D}$, we study the $\mc{U} (n)$-parameter family of unitary perturbations of the operator $Z_\Theta$ ...
Spectral action for scalar perturbations of Dirac operators
spectral geometry noncommutative geometry
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2011/2/22
We investigate the leading terms of the spectral action for odd-dimensional Riemannian spin manifolds with the Dirac operator perturbed by a scalar function.