Product of exponentials concentrates around the exponential of the sum

Michael Anshelevich, Austin Pritchett

For two matrices $A$ and $B$, and large $n$, we show that most products of $n$ factors of $e^{A/n}$ and $n$ factors of $e^{B/n}$ are close to $e^{A+B}$. This extends the Lie-Trot…