5 citations · 8 across the 6 of their papers we have counts for
7 papers
Poisson limit of bumping routes in the Robinson-Schensted correspondence
Łukasz Maślanka, Mikołaj Marciniak, Piotr Śniady
We consider the Robinson-Schensted-Knuth algorithm applied to a random input and investigate the shape of the bumping route (in the vicinity of the -axis) when a specified numbe…
Poisson limit theorems for the Robinson-Schensted correspondence and for the multi-line Hammersley process
Mikołaj Marciniak, Łukasz Maślanka, Piotr Śniady
We consider Robinson-Schensted-Knuth algorithm applied to a random input and study the growth of the bottom rows of the corresponding Young diagrams. We prove multidimensional Pois…
Second class particles and limit shapes of evacuation and sliding paths for random tableaux
Łukasz Maślanka, Piotr Śniady
We investigate two closely related setups. In the first one we consider a TASEP-style system of particles with specified initial and final configurations. The probability of each h…
On a typical compact set as the attractor of generalized iterated function systems of infinite order
Łukasz Maślanka
In 2013 Balka and Máthé showed that in uncountable polish spaces the typical compact set is not a fractal of any IFS. In 2008 Miculescu and Mihail introduced a concept of a general…
Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems
Łukasz Maślanka, Filip Strobin
Miculescu and Mihail in 2008 introduced the concept of a \emph{generalized iterated function system} (GIFS in~short), a particular extension of the classical IFS. The idea is that,…
On generalized iterated function systems defined on -sum of a metric space
Łukasz Maślanka, Filip Strobin
Miculescu and Mihail in 2008 introduced a concept of a generalized iterated function system (GIFS in short), a particular extension of classical IFS. Instead of families of selfmap…
A fixed point theorem for mappings on the -sum of a metric space and its application
Jacek Jachymski, Łukasz Maślanka, Filip Strobin
The aim of this paper is to prove a counterpart of the Banach fixed point principle for mappings , where is a metric space and is the…