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Showing 1 to 4 of 4 for “"Non-commutative probability"”.
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Gaussian processes in non-commutative probability theory
Contains fulltext : 19119.pdf (Publisher’s version ) (Open Access)
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Non-Commutative Probability for the Spectral Analysis of Simplicial Complexes
Free probability theory, invented by Voiculescu, and greatly expanded by Speicher, is a young and active area of research with numerous applications in pure and applied mathematics. This Master thesis is a comprehensive study of a specific result in the recent preprint by C. Vargas, in which Vargas …
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Two-parameter noncommutative Gaussian processes
… graphs. The modern mathematical theory of free probability is increasingly giving rise to analysis tools specifically adapted to such large-dimensional regimes and, more generally, non-commutative probability is emerging as an area of interdisciplinary interest. This thesis develops a new …
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Second-order finite free probability
Finite free probability is a new field lying at the intersection of random matrix theory and non-commutative probability. It is called “finite” because unlike traditional free probability, which takes the perspective of operators on infinite-dimensional vector spaces, finite free probability …