Liouville quantum gravity and KPZ
نویسندگان
چکیده
منابع مشابه
Liouville quantum gravity and KPZ
Consider a bounded planar domain D, an instance h of the Gaussian free field on D, with Dirichlet energy (2π)−1 ∫ D ∇h(z) · ∇h(z)dz, and a constant 0 ≤ γ < 2. The Liouville quantum gravity measure on D is the weak limit as ε → 0 of the measures ε 2/2eγhε(z)dz, where dz is Lebesgue measure on D and hε(z) denotes the mean value of h on the circle of radius ε centered at z. Given a random (or dete...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2010
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-010-0308-1