Bochen Jin

collaborators

4 papers

math.PR2026

Pareto points in growing dimensions

Andrii Ilienko, Bochen Jin

We consider $n$ independent random points uniformly distributed in the $d_{n}$ -dimensional unit cube and study Pareto points, that is, points that do not coordinatewise dominate any…

math.PR2025

Convergence of Random Walks in $ℓ_{p}$ -Spaces of Growing Dimension

Bochen Jin

We prove the limit theorem for paths of random walks with $n$ steps in $R^{d}$ as $n$ and $d$ both go to infinity. For this, the paths are viewed as finite metric spaces equ…

math.PR2025

Ranges of Extremal Processes and Heavy-Tailed Random Walks in Spaces of Growing Dimension

Bochen Jin, Ilya Molchanov

We consider extremal processes and random walks generated by heavy-tailed random vectors taking values in $R^{d}$ endowed with the $ℓ_{p}$ metric. We establish limit theore…

math.PR2025

Random Bridges in Spaces of Growing Dimension

Bochen Jin

We investigate the limiting behaviour of the path of random bridges treated as random sets in $R^{d}$ with the Euclidean metric and the dimension $d$ increasing to infinit…

Pareto points in growing dimensions

Convergence of Random Walks in ℓp​-Spaces of Growing Dimension

Ranges of Extremal Processes and Heavy-Tailed Random Walks in Spaces of Growing Dimension

Random Bridges in Spaces of Growing Dimension

Convergence of Random Walks in $ℓ_{p}$ -Spaces of Growing Dimension