Dingding Dong

collaborators

2 papers

math.PR2022

Maximum gaps in one-dimensional hard-core models

Dingding Dong, Nitya Mani

We study the distribution of the maximum gap size in one-dimensional hard-core models. First, we randomly sequentially pack rods of length $2$ onto an interval of length $L$ , subje…

math.CO2022

On the number of error correcting codes

Dingding Dong, Nitya Mani, Yufei Zhao

We show that for a fixed $q$ , the number of $q$ -ary $t$ -error correcting codes of length $n$ is at most $2^{(1 + o (1)) H_{q} (n, t)}$ for all $t \leq (1 - q^{-1})n - C_q\sqrt{n \log n}…