Luchen Shi

collaborators

2 papers

math.SG2022

Congruence of Linear Symplectic Forms by the Symplectic Group

Luchen Shi, Sunay Joshi, Ritwick Bhargava

This paper concerns the action of linear symplectomorphisms on linear symplectic forms by conjugation in even dimensions. We prove that pfaffian and $-\frac{1}{2}\operatorname{tr}(…

math.CO2022

Enumeration of Random Walk Positions in $L_{1}$ -norm ball in $Z^{d}$

Luchen Shi, Will McCance, Hongjie Zeng

In this paper, we mainly concerned about deriving the general formula to count the possible positions of $n$ step random walk in $Z^{d}$ with unit length in each step, which…

Congruence of Linear Symplectic Forms by the Symplectic Group

Enumeration of Random Walk Positions in L1​-norm ball in Zd

Enumeration of Random Walk Positions in $L_{1}$ -norm ball in $Z^{d}$