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math.PR2021★ 1 cited
Local and global comparisons of the Airy difference profile to Brownian local time
Shirshendu Ganguly, Milind Hegde
There has recently been much activity within the Kardar-Parisi-Zhang universality class spurred by the construction of the canonical limiting object, the parabolic Airy sheet $\mat…
math.PR2021
Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness
Ivan Corwin, Alan Hammond, Milind Hegde +1
In 2002, Johansson conjectured that the maximum of the Airy process minus the parabola is almost surely achieved at a unique location. This result was proved a decade lat…