In a JT gravity model with an EoW brane, black hole interior complexity grows linearly until the Page time then decays exponentially, with fluctuations growing large afterward and signaling loss of self-averaging.
A note on the non-planar corrections for the Page curve in the PSSY model via the IOP matrix model correspondence,
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Evaporating Black Hole Interior and Complexity Evolution
In a JT gravity model with an EoW brane, black hole interior complexity grows linearly until the Page time then decays exponentially, with fluctuations growing large afterward and signaling loss of self-averaging.