What is quantum ergodicity?

Tuomas Sahlsten (University of Manchester)


We will present the topic of “quantum ergodicity”, which has recently gained much attention due to its deep number theoretical connections in ergodic theory (Lindenstrauss’s solution to the arithmetic quantum unique ergodicity conjecture), discrete and probabilistic connections, and analogues in the theory of modular forms culminating to the recent works of Holowinsky and Soundararajan. We will review the history and current challenges of the problem, and describe a new direction we recently introduced with Etienne Le Masson (Bristol)

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