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Random normal matri...
Random normal matrices and ward identities
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- Ameur, Yacin (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Hedenmalm, Håkan (författare)
- KTH,Matematik (Avd.)
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Makarov, Nikolai (författare)
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(creator_code:org_t)
- 2015
- 2015
- Engelska.
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Ingår i: Annals of Probability. - 0091-1798 .- 2168-894X. ; 43:3, s. 1157-1201
- Relaterad länk:
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http://dx.doi.org/10...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://lup.lub.lu.s...
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Abstract
Ämnesord
Stäng
- We consider the random normal matrix ensemble associated with a potential in the plane of sufficient growth near infinity. It is known that asymptotically as the order of the random matrix increases indefinitely, the eigenvalues approach a certain equilibrium density, given in terms of Frostman's solution to the minimum energy problem of weighted logarithmic potential theory. At a finer scale, we may consider fluctuations of eigenvalues about the equilibrium. In the present paper, we give the correction to the expectation of the fluctuations, and we show that the potential field of the corrected fluctuations converge on smooth test functions to a Gaussian free field with free boundary conditions on the droplet associated with the potential.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Random normal matrix
- eigenvalues
- Ginibre ensemble
- Ward identity
- loop equation
- Gaussian free field
- Gaussian free field
- equation
- loop
- Ward identity
- Ginibre ensemble
- eigenvalues
- Random normal matrix
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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