Browsing by Author "Quastel, Jeremy"
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Ortmann, Janosch; Quastel, Jeremy; Remenik Zisis, Daniel (Institute of Mathematical Statistics,, 2016)We obtain exact formulas for moments and generating functions of the height function of the asymmetric simple exclusion process at one spatial point, starting from special initial data in which every positive even site is ...

Quastel, Jeremy; Remenik Zisis, Daniel (Cambridge University Press, 2022)The logarithmic derivative of the marginal distributions of randomly fluctuating interfaces in one dimension on a large scale evolve according to the KadomtsevPetviashvili (KP) equation. This is derived algebraically from ...

Quastel, Jeremy; Remenik Zisis, Daniel (Springer, 2013)We obtain a formula for the ndimensional distributions of the Airy process in terms of a Fredholm determinant on L2(R), as opposed to the standard formula which involves extended kernels, on L2({1, . . . , n} × R). The ...

Corwin, Iván; Quastel, Jeremy; Remenik Zisis, Daniel (Springer, 2015)The one dimensional Kardar–Parisi–Zhang universality class is believed to describe many types of evolving interfaces which have the same characteristic scaling exponents. These exponents lead to a natural renormalizati ...

Quastel, Jeremy; Remenik Zisis, Daniel (Springer, 2013)Let A2(t) be the Airy2 process. We show that the random variable sup t≤α A2(t) −t 2 +min{0,α}2 has the same distribution as the onepoint marginal of the Airy2→1 process at time α. These marginals form a family of ...

Quastel, Jeremy; Remenik Zisis, Daniel (Inst Mathematical Statistics, 2015)We prove that the random variable T = argmaxt∈R{A2(t)−t2}, where A2 is the Airy2 process, has tails which decay like e−ct3 . The distribution of T is a universal distribution which governs the rescaled endpoint of directed ...

Matetski, Konstantin; Quastel, Jeremy; Remenik Zisis, Daniel Ilan (Int Press Boston, 2021)