21 citations · 31 across the 10 of their papers we have counts for
12 papers
The asymptotic topology of the multineighbor complex of a random graph
Wojciech Matysiak, Jan Spaliński
We introduce the multineighbor complex of a graph, which is a simplicial complex in which a simplex is a subset of the graph with a sufficient number of mutual neighbors. We invest…
Multiplicity free actions, birth and death processes on partitions, and Biane's quantum Ornstein-Uhlenbeck semigroups
Wojciech Matysiak, Marcin Świeca
We introduce a family of multivariate continuous-time pure birth and pure death chains, with birth and death rates defined in terms of the generalized binomial coefficients for mul…
Hypergroups and Quantum Bessel Processes of Non-integer Dimensions
Wojciech Matysiak
It is demonstrated how to use certain family of commutative hypergroups to provide a universal construction of Biane's quantum Bessel processes of all dimensions not smaller than 1…
Wilson's 6-j laws and stitched Markov processes
Wlodek Bryc, Wojciech Matysiak
We show how to insert time into the parameters of the Wilson's 6-j laws to construct discrete Markov chains with these laws. By a quadratic transformation we convert them into Mark…
Moments and -commutators of noncommutative random vectors
Krzysztof Drożdżewicz, Wojciech Matysiak
A method for computing the mixed moments of (not necessarily commutative) random vectors from the first order moments, the -commutators between the annihilation and creation ope…
Free Quadratic Harness
Wlodzimierz Bryc, Wojciech Matysiak, Jacek Wesołowski
Free quadratic harness is a Markov process from the class of quadratic harnesses, i.e. processes with linear regressions and quadratic conditional variances. The process has recent…