AbstractDykema and Haagerup introduced the class of DT-operators (Amer. J. Math. 126 (2004) 121–189) and also showed that every DT-operator generate L(F2) (J. Funct. Anal. 209 (2004) 332–366), the von Neumann algebra generated by the free group on two generators. In this paper, we prove that Voiculescu's non-microstates free entropy dimension is 2 for all DT-operators
Ce travail étend nos connaissances des entropies libres et des équations différentielles stochastiqu...
In the first chapter of the dissertation, we give a very elementary proof of a more detailed version...
AbstractWe use free probability techniques to compute borders of spectra of non-hermitian operators ...
AbstractDykema and Haagerup introduced the class of DT-operators (Amer. J. Math. 126 (2004) 121–189)...
AbstractIn this article, we set two analogous definitions of the free entropies χ and χ∗ introduced ...
AbstractUsing Voiculescu's notion of a matricial microstate we introduce fractal dimensions and entr...
Suppose M is a von Neumann algebra with normal, tra-cial state ϕ and {a1,..., an} is a set of self-a...
AbstractWe define a classical probability analogue of Voiculescu's free entropy dimension that we sh...
Summary. We prove a technical result, showing that the existence of a closable unbounded dual system...
AbstractWe prove that if X1,…,Xn (n>1) are self-adjoints in a W∗-probability space with finite non-m...
This dissertation consists of three more or less independent projects. In the first project, we fi...
AbstractWe introduce a new free entropy invariant, which yields improvements of most of the applicat...
AbstractWe show that certain finite generating sets of Dykema and Radulescu for L(Fr), the interpola...
By proving that certain free stochastic differential equations with analytic coefficients have stati...
Through the study of large deviations theory for matrix Brownian motion, Biane-Capitaine-Guionnet pr...
Ce travail étend nos connaissances des entropies libres et des équations différentielles stochastiqu...
In the first chapter of the dissertation, we give a very elementary proof of a more detailed version...
AbstractWe use free probability techniques to compute borders of spectra of non-hermitian operators ...
AbstractDykema and Haagerup introduced the class of DT-operators (Amer. J. Math. 126 (2004) 121–189)...
AbstractIn this article, we set two analogous definitions of the free entropies χ and χ∗ introduced ...
AbstractUsing Voiculescu's notion of a matricial microstate we introduce fractal dimensions and entr...
Suppose M is a von Neumann algebra with normal, tra-cial state ϕ and {a1,..., an} is a set of self-a...
AbstractWe define a classical probability analogue of Voiculescu's free entropy dimension that we sh...
Summary. We prove a technical result, showing that the existence of a closable unbounded dual system...
AbstractWe prove that if X1,…,Xn (n>1) are self-adjoints in a W∗-probability space with finite non-m...
This dissertation consists of three more or less independent projects. In the first project, we fi...
AbstractWe introduce a new free entropy invariant, which yields improvements of most of the applicat...
AbstractWe show that certain finite generating sets of Dykema and Radulescu for L(Fr), the interpola...
By proving that certain free stochastic differential equations with analytic coefficients have stati...
Through the study of large deviations theory for matrix Brownian motion, Biane-Capitaine-Guionnet pr...
Ce travail étend nos connaissances des entropies libres et des équations différentielles stochastiqu...
In the first chapter of the dissertation, we give a very elementary proof of a more detailed version...
AbstractWe use free probability techniques to compute borders of spectra of non-hermitian operators ...
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