1 citations · 1 across the 6 of their papers we have counts for
9 papers
Generalised Random Parking for Trapeziums on a Strip
David Kramer-Bang, Stjepan Šebek
In this article, we study a generalisation of Rényi's car-parking problem in which isosceles trapeziums are sequentially deposited on a strip. We derive an explicit formula for the…
Improved bounds on the inradius and inverse inradius process of the convex hull of planar Brownian motion
David Kramer-Bang, Hugo Panzo, Stjepan Šebek
We study the inradius and inverse inradius of the convex hull of standard planar Brownian motion. Our main goals are to improve the existing bounds on the expected values of these…
Fluctuations for diameter and perimeter of convex hulls of multiple random walks
Wojciech Cygan, Tomislav Kralj, Nikola Sandrić +3
We study the diameter and perimeter of the convex hull generated by finitely many independent planar random walks whose increments have finite second moments. The large-time fluctu…
Hoeffding's inequality for non-irreducible Markov models
Nikola Sandric, Stjepan Sebek
In this article, we establish Hoeffding's inequality for bounded Lipschitz functions of a class of not necessarily irreducible Markov models. The result complements the existing li…
Learning from non-irreducible Markov chains
Nikola Sandrić, Stjepan Šebek
Mostof the existing literature on supervised machine learning problems focuses on the case when the training data set is drawn from an i.i.d. sample. However, many practical proble…
On asymptotic fairness in voting with greedy sampling
Abraham Gutierrez, Sebastian Müller, Stjepan Šebek
The basic idea of voting protocols is that nodes query a sample of other nodes and adjust their own opinion throughout several rounds based on the proportion of the sampled opinion…
Functional CLT for the range of stable random walks
Wojciech Cygan, Nikola Sandrić, Stjepan Šebek
In this note, we establish a functional central limit theorem for the capacity of the range for a class of -stable random walks on the integer lattice with $d > 5…
Transition probability estimates for subordinate random walks
Wojciech Cygan, Stjepan Šebek
Let be the simple random walk on the integer lattice . For a Bernstein function we consider a random walk which is subordinated to . Under a ce…
Harnack inequality for subordinate random walks
Ante Mimica, Stjepan Šebek
In this paper, we consider a large class of subordinate random walks on integer lattice via subordinators with Laplace exponents which are complete Bernstein fun…