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math.CA2024
On Unitary Monodromy of Second-Order Ordinary Differential Equations
David Darrow, Eric Chen, Alex Zitzewitz
Given a second-order, holomorphic, linear differential equation on a punctured Riemann surface, we say that its monodromy group is…
quant-ph2024
Measuring Butterfly Velocity in the XY Model on Emerging Quantum Computers
Calum McCartney, Eric Chen, Subhayan Roy Moulik
The butterfly velocity is commonly used to understand information transport properties in quantum dynamical systems and is related to growth of operators. Here we utilise a quantum…
math.AP2024
Semi-classical Heat Kernel Asymptotics and Morse Inequalities
Eric Jian-Ting Chen
In this paper, we study the asymptotic behavior of the heat kernel with respect to the Witten Laplacian. We introduce the localization and the scaling technique in semi-classical a…