Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation
نویسندگان
چکیده
منابع مشابه
Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation
Gaussian Multiplicative Chaos is a way to produce a measure on Rd (or subdomain of Rd) of the form eγX(x)dx, where X is a log-correlated Gaussian field and γ ∈ [0, √ 2d) is a fixed constant. A renormalization procedure is needed to make this precise, since X oscillates between −∞ and ∞ and is not a function in the usual sense. This procedure yields the zero measure when γ = √ 2d. Two methods ha...
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Gaussian Multiplicative Chaos is a way to produce a measure on Rd (or subdomain of Rd) of the form eγX(x)dx, where X is a log-correlated Gaussian field and γ ∈ [0, √ 2d) is a fixed constant. A renormalization procedure is needed to make this precise, since X oscillates between −∞ and ∞ and is not a function in the usual sense. This procedure yields the zero measure when γ = √ 2d. Two methods ha...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2014
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-014-2000-6