Jacek Wesołowski

collaborators

4 papers

math.PR2026

Probability laws associated to the independence preserving quadrirational Yang-Baxter maps -- the ultimate case

Bartosz KoÅodziejek, GÃ©rard Letac, Mauro Piccioni +1

A map $F : X \times Y \to U \times V$ is said to be independence preserving (IP) if there exists a pair of independent random variables $(X, Y)$ v…

math.PR2026

GIG random matrices and a Yang-Baxter extension of the Matsumoto-Yor property

GÃ©rard Letac, Mauro Piccioni, Jacek WesoÅowski

Sasada and Uozumi, \cite{SasUoz2024}, identified independence preserving $[2 : 2]$ quadrirational parametric Yang-Baxter maps, see \eqref{YBEQ}, on $(0, \infty)$ . In particular, the m…

math.PR2025

Graphical Negative Multinomial and Multinomial Models with Dirichlet-type priors

Iza Danielewska, Bartosz KoÅodziejek, Jacek WesoÅowski +1

Bayesian statistical graphical models are typically classified as either continuous and parametric (Gaussian, parameterized by the graph-dependent precision matrix with Wishart-typ…

math.PR2025

Expected number of jumps and the number of active particles in TASEP

PaweÅ Hitczenko, Jacek WesoÅowski

For a TASEP on $Z$ with the step initial condition we identify limits as $t \to \infty$ of the expected total number of jumps until time $t > 0$ and the expected number of acti…