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What I did on my Summer Holiday

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AR2W03 - Applicable resurgent asymptotics: summary workshop

I will describe several problems I’ve worked on during this INI programme, and explain what we found and why these problems are worth studying: - Using transseries to explain the origin of poles in Burger’s equation (with Aniceto, McCue) - The transition from continuous Painleve I to discrete Painleve I through a family of higher-order ODEs (with King) - Exponential asymptotics of nonlinear ODEs using numerical analytic continuation (with Chapman, Crew) - Higher-order corrections to waves caused by discretization of the KdV equation (with Crew)

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