Results 21 to 29 of about 360 (29)
Approximation of quantum Levy processes by quantum random walks [PDF]
, 2007 Every quantum Levy process with a bounded stochastic generator is shown to arise as a strong limit of a family of suitably scaled quantum random walks.Comment: 7 ...
Franz, Uwe, Skalski, Adam
core +1 more source
Monotone, free, and boolean cumulants: a shuffle algebra approach
, 2018 The theory of cumulants is revisited in the "Rota way", that is, by following a combinatorial Hopf algebra approach. Monotone, free, and boolean cumulants are considered as infinitesimal characters over a particular combinatorial Hopf algebra. The latter
Ebrahimi-Fard, Kurusch, Patras, Frederic
core +1 more source
Kolmogorov's law of the iterated logarithm for noncommutative martingales
, 2014 We prove Kolmogorov's law of the iterated logarithm for noncommutative martingales. The commutative case was due to Stout.
Zeng, Qiang
core +1 more source
A Factorization Theorem for $\varphi$--Maps
, 2012 We present a far reaching generalization of a factorization theorem by Bhat, Ramesh, and Sumesh (stated first by Asadi) and furnish a very quick proof.Comment: Reivised according to the referee's suggestions (now 5 pages); to appear in Journal of ...
Skeide, Michael
core
De Finetti theorem on the CAR algebra
, 2012 The symmetric states on a quasi local C*-algebra on the infinite set of indices J are those invariant under the action of the group of the permutations moving only a finite, but arbitrary, number of elements of J.
A. Connes +27 more
core +1 more source
, 2017 We define bi-monotone independence, prove a bi-monotone central limit theorem and use it to study the distribution of bi-monotone Brownian motion, which is defined as the two-dimensional operator process with monotone and antimonotone Brownian motion as ...
Gerhold, Malte
core
Spreadability for Quantum Stochastic Processes, with an Application to Boolean Commutation Relations. [PDF]
Entropy (Basel), 2020 Crismale V, Fidaleo F, Griseta ME.
europepmc +1 more source
Isometric Dilations of Representations of Product Systems via Commutants
, 2006 We construct a weak dilation of a not necessarily unital CP-semigroup to an E-semigroup acting on the adjointable operators of a Hilbert module with a unit vector.
Michael Skeide, Via Commutants
core +1 more source
Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]
Probab Theory Relat FieldsDe Vecchi F +3 more
europepmc +1 more source