Juozas Petkelis

works on

linear recurrences 1 maximum distribution 1 partial sums 1 periodic distributions 1 random walks 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.PR2026

The limit law of the maximum of discrete partial-sums distribution II

Andrius Grigutis, Juozas Petkelis

The paper provides explicit formulas for the distribution of the maximum of partial sums of independent, integer‑valued random variables that repeat periodically, using linear recu…

math.NT2025

Picturesque convolution-like recurrences and partial sums' generation

Ignas GasparaviÄius, Andrius Grigutis, Juozas Petkelis

Let $b = {b_{0}, b_{1}, \dots}$ be the known sequence of numbers such that $b_{0} \neq = 0$ . In this work, we develop methods to find another sequence ${\pmb a}=\{a_0,\,a_1,\,\ldot…