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On the exponent governing the correlation decay of the Airy\(_1\) process

By Riddhipratim Basu and others at
LogoTata Institute of Fundamental Research
and
LogoUniversity of Bonn
We study the decay of the covariance of the Airy\(_1\) process, \(\mathcal{A}_1\), a stationary stochastic process on \(\mathbb{R}\) that arises as a universal scaling limit in the Kardar-Parisi-Zhang (KPZ) universality class. We show that the decay is super-exponential and determine the leading order term in the exponent by showing that... Show more
June 17, 2022
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On the exponent governing the correlation decay of the Airy$_1$ process
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