Jiahe Shen

activity

20242026

collaborators

5 papers

math.PR2026

The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters

Jiahe Shen

The random transposition shuffle on repeated cards induces a Markov chain on the quotient space of arrangements with multiplicities, and is equivalent to the many-urn mean-field Be…

math.PR2026

The $k$ -cycle shuffling with repeated cards

Jiahe Shen

We investigate the $k$ -cycle shuffle on repeated cards, namely on a deck consisting of $l$ identical copies of each of $m$ card types, with total size $n = m l$ . We establish asymptot…

math.PR2026

Quantative universality for cokernels of matrices with symmetries

Jiahe Shen

We prove universality for cokernels of random integral matrices with symmetries via an approach different from the classical surjection moment method introduced by Wood (arXiv:1402…

math.CO2025

The Szemerédi-Trotter theorem over arbitrary field of characteristic zero

Jiahe Shen

Let $P$ be a set of $m$ points and $L$ a set of $n$ lines in $K^{2}$ , where $K$ is a field with char $(K) = 0$ . We prove the incidence bound $$\mathcal{I}(\mathcal{P…

math.PR2024

Gaussian universality of $p$ -adic random matrix products via corners

Jiahe Shen

We establish the universality of the singular numbers in random matrix products over $GL_{n} (Q_{p})$ as the number of products approaches infinity, with a fixed $n\ge…

The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters

The k-cycle shuffling with repeated cards

Quantative universality for cokernels of matrices with symmetries

The Szemerédi-Trotter theorem over arbitrary field of characteristic zero

Gaussian universality of p-adic random matrix products via corners

The $k$ -cycle shuffling with repeated cards

Gaussian universality of $p$ -adic random matrix products via corners