Browsing NTNU Open by Author "Gerhold, Malte"
Now showing items 1-4 of 4
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BOUNDED PERTURBATIONS OF THE HEISENBERG COMMUTATION RELATION VIA DILATION THEORY
Gerhold, Malte; Shalit, Orr Moshe (Peer reviewed; Journal article, 2023)We extend the notion of dilation distance to strongly continuous one-parameter unitary groups. If the dilation distance between two such groups is _nite, then these groups can be represented on the same space in such a way ... -
Categorial Independence and Lévy Processes
Gerhold, Malte; Lachs, Stephanie; Schürmann, Michael (Journal article; Peer reviewed, 2022) -
Shuffle Algebras and Non-Commutative Probabilifor Pairs of Faces
Diehl, Joscha; Gerhold, Malte; Gilliers, Nicolas (Peer reviewed; Journal article, 2023)One can build an operatorial model for freeness by considering either the right-handed or the left-handed representation of algebras of operators acting on the free product of the underlying pointed Hilbert spaces. Considering ... -
Towards a classification of multi-faced independence: A representation-theoretic approach
Gerhold, Malte; Hasebe, Takahiro; Ulrich, Michaël (Peer reviewed; Journal article, 2023)We attack the classification problem of multi-faced independences, the first non-trivial example being Voiculescu's bi-freeness. While the present paper does not achieve a complete classification, it formalizes the idea ...