International audienceWe study the discrete quantum groups Gamma whose group algebra has an inner faithful representation of type pi : C*(Gamma) -> M-K(C). Such a representation can be thought of as coming from an embedding Gamma subset of U-K. Our main result, concerning a certain class of examples of such quantum groups, is an asymptotic convergence theorem for the random walk on G. The proof uses various algebraic and probabilistic techniques
A convergence theorem is obtained for quantum random walks with particles in an arbitrary normal sta...
We have studied quantum algorithms with the purpose of calculating a matrix permanent with a quantum...
Abstract. Every quantum Lévy process with a bounded stochastic generator is shown to arise as a str...
International audienceWe study the discrete quantum groups Gamma whose group algebra has an inner fa...
Of central interest in the study of random walks on finite groups are ergodic random walks. Ergodic ...
International audienceIn this paper, we study convergence of random walks, on nite quantum groups, a...
We study the problem of convergence to the boundary in the setting of random walks on discrete quant...
A natural scheme is established for the approximation of quantum Lévy processes on locally compact q...
We analyze several families of one and two-dimensional nearest neighbor Quantum Random Walks. Using ...
Quantum groups are a noncommutative extension of the notion of a group and first appeared in the con...
Random walks form an important part of classical probability theory [26, 28] and have remarkable app...
In the first part, we introduce the tools of noncommutative mathematics that we will use in our stud...
Given a discrete quantum group H with a finite normal quantum subgroup G, we show that any positive,...
We explore how skein theoretic techniques can be applied to the study of quantumrepresentations of m...
In the framework of the symmetric Fock space over L2(R+), the details of the approximation of the fo...
A convergence theorem is obtained for quantum random walks with particles in an arbitrary normal sta...
We have studied quantum algorithms with the purpose of calculating a matrix permanent with a quantum...
Abstract. Every quantum Lévy process with a bounded stochastic generator is shown to arise as a str...
International audienceWe study the discrete quantum groups Gamma whose group algebra has an inner fa...
Of central interest in the study of random walks on finite groups are ergodic random walks. Ergodic ...
International audienceIn this paper, we study convergence of random walks, on nite quantum groups, a...
We study the problem of convergence to the boundary in the setting of random walks on discrete quant...
A natural scheme is established for the approximation of quantum Lévy processes on locally compact q...
We analyze several families of one and two-dimensional nearest neighbor Quantum Random Walks. Using ...
Quantum groups are a noncommutative extension of the notion of a group and first appeared in the con...
Random walks form an important part of classical probability theory [26, 28] and have remarkable app...
In the first part, we introduce the tools of noncommutative mathematics that we will use in our stud...
Given a discrete quantum group H with a finite normal quantum subgroup G, we show that any positive,...
We explore how skein theoretic techniques can be applied to the study of quantumrepresentations of m...
In the framework of the symmetric Fock space over L2(R+), the details of the approximation of the fo...
A convergence theorem is obtained for quantum random walks with particles in an arbitrary normal sta...
We have studied quantum algorithms with the purpose of calculating a matrix permanent with a quantum...
Abstract. Every quantum Lévy process with a bounded stochastic generator is shown to arise as a str...
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