Bochen Jin

collaborators

5 papers

math.PR2026

Set-indexed and multiple sums in high dimensions

Bochen Jin, Alexander Marynych, Ilya Molchanov

We consider multiple and set-indexed sums of random vectors taking values in Euclidean space of growing dimension. It is shown that, when viewed as finite metric spaces, the sets o…

math.PR2026

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.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

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…

Set-indexed and multiple sums in high dimensions

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

Pareto points in growing dimensions

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

Random Bridges in Spaces of Growing Dimension

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