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Central limit theorems for open quantum random walks
Central limit theorems quantum random walks Probability
2012/6/27
Open Quantum Random Walks are the exact quantum generalization of Markov chains on finite graphs or on nets. These random walks are typically quantum in their behavior, step by step, but they seem to ...
A Mermin--Wagner theorem for quantum Gibbs states on 2D graphs, I
quantum bosonic system with continuous spins symmetry group the Feynman–Kac representation bi-dimensional graphs Gibbs states
2012/6/25
This is the the first of a series of papers considering properties of quantum systems over 2D graphs or manifolds, with continuous spins. In the model considered here the phase space of a single spin ...
This text is a survey (Bourbaki seminar) on the paper "Liouville quantum gravity and KPZ" By B.Duplantier and S.Sheffield.
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
Conformal weldings of random surfaces: quantum gravity zipper
2011/2/24
We construct a conformal welding of two Liouville quantum gravity random surfaces and show that the interface between them is a random fractal curve called the Schramm-Loewner evolution (SLE), thereby...
The Classical Limit of Representation Theory of the Quantum Plane
Classical Limit of Representation Theory of the Quantum Plane
2011/2/22
We showed that there is a complete analogue of a representation of the quantum plane Bq where |q| = 1, with the classical ax + b group.
The non-relativistic limit of (central-extended) Poincare group and some consequences for quantum actualization
non-relativistic limit of (central-extended) Poincare group
2010/12/3
The non relativistic limit of the centrally extended Poincar´e group is considered and their consequences in the Modal Hamiltonian Interpretation of Quantum Mechanics discussed [1], [2]. Through...
Quantum random walks and minors of Hermitian Brownian motion
Quantum random walks minors of Hermitian Brownian motion
2010/11/30
Considering quantum random walks, we construct discrete-time approximations of the eigenvalues processes of minors of Hermitian Brownian motion.