W. Mlotkowski

activity

20152022

most citedFree self-decomposability and unimodality of the Fuss-Catalan distributions

3 citations · 3 across the 4 of their papers we have counts for

collaborators

12 papers

math.CO2022

Quadratic embedding constants of path graphs

Wojciech Młotkowski

We characterize positive definiteness for some family of matrices. As an application we derive explicit value of the quadratic embedding constants of the path graphs.

math.PR2021

Probability distributions with rational free $R$ -transform

Wojciech Młotkowski

We study the class $M_{ratio}$ of those probability distributions for which the free $R$ -transforms are rational functions. This class is closed under the additi…

math.PR2021

On freely quasi-infinitely divisible distributions

Ikkei Hotta, Wojciech Młotkowski, Noriyoshi Sakuma +1

Inspired by the notion of quasi-infinite divisibility (QID), we introduce and study the class of freely quasi-infinitely divisible (FQID) distributions on $R$ , i.e. distri…

math.PR2019★ 3 cited

Free self-decomposability and unimodality of the Fuss-Catalan distributions

Wojciech Młotkowski, Noriyoshi Sakuma, Yuki Ueda

We study properties of the Fuss-Catalan distributions $μ (p, r)$ , $p \geq 1$ , $0 < r \leq p$ : free infinite divisibility, free self-decomposability, free regularity and unimodality. We sh…

math.CO2019

Some relatives of the Catalan sequence

Elżbieta Liszewska, Wojciech Młotkowski

We study a family of sequences $c_{n} (a_{2}, \dots, a_{r})$ , where $r \geq 2$ and $a_{2}, \dots, a_{r}$ are real parameters. We find a sufficient condition for positive definiteness of the sequen…

math.CO2019

Permutations of type $B$ with fixed number of descents and minus signs

Katarzyna Kril, Wojciech Młotkowski

We study three dimensional array of numbers $B (n, k, j)$ , $0 \leq j, k \leq n$ , where $B (n, k, j)$ is the number of type $B$ permutations of order $n$ with $k$ descents and $j$ minus signs.…