3 papers
math.CO2025
A Formal Analogue of Euler's Formula for Infinite Planar Regular Graphs
Piotr JÄdrzejewicz, MikoÅaj Marciniak
We present a formal version of the numbers of vertices, edges, and faces for infinite planar regular triangular meshes of degree r>6. These numbers are defined via Euler summation…
math.PR2025
Fluctuations of Schensted row insertion
MikoÅaj Marciniak, Piotr Åniady
We investigate asymptotic probabilistic phenomena arising from the application of the Schensted row insertion algorithm, a key component of the Robinson-Schensted-Knuth (RSK) corre…
math.CO2024
Cumulants of threshold for Schensted row insertion into random tableaux
MikoÅaj Marciniak, Piotr Åniady
Schensted row insertion is a fundamental component of the Robinson-Schensted-Knuth (RSK) algorithm, a powerful tool in combinatorics and representation theory. This study examines…