메뉴 건너뛰기




Volumn 704, Issue 3, 2005, Pages 407-444

Normal random matrix ensemble as a growth problem

Author keywords

Integrable systems; Random matrix theory; Stochastic growth

Indexed keywords


EID: 11144328252     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2004.10.006     Document Type: Article
Times cited : (74)

References (47)
  • 2
    • 0037054247 scopus 로고    scopus 로고
    • Viscous fingering and a shape of an electronic droplet in a quantum Hall regime
    • O. Agam E. Bettelheim P.B. Wiegmann A. Zabrodin Viscous fingering and a shape of an electronic droplet in a quantum Hall regime Phys. Rev. Lett. 88 2002 236802
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 236802
    • Agam, O.1    Bettelheim, E.2    Wiegmann, P.B.3    Zabrodin, A.4
  • 4
    • 15244345625 scopus 로고    scopus 로고
    • N=1 supersymmetry, deconstruction and bosonic gauge theory
    • hep-th/0302011
    • R. Dijgraaf C. Vafa N = 1 supersymmetry, deconstruction and bosonic gauge theory hep-th/0302011
    • Dijgraaf, R.1    Vafa, C.2
  • 5
    • 0012071492 scopus 로고    scopus 로고
    • A perturbative window into non-perturbative physics
    • hep-th/0208048
    • R. Dijgraaf C. Vafa A perturbative window into non-perturbative physics hep-th/0208048
    • Dijgraaf, R.1    Vafa, C.2
  • 6
    • 0012262287 scopus 로고    scopus 로고
    • Matrix models, topological strings and supersymmetric gauge theories
    • hep-th/0206255
    • R. Dijgraaf C. Vafa Matrix models, topological strings and supersymmetric gauge theories hep-th/0206255
    • Dijgraaf, R.1    Vafa, C.2
  • 7
    • 4244166933 scopus 로고    scopus 로고
    • On geometry and matrix models
    • hep-th/0207106
    • R. Dijgraaf C. Vafa On geometry and matrix models hep-th/0207106
    • Dijgraaf, R.1    Vafa, C.2
  • 8
    • 7244251694 scopus 로고    scopus 로고
    • Partition functions for matrix models and isomonodromic tau functions
    • nlin.SI/0204054
    • M. Bertola B. Eynard J. Harnad Partition functions for matrix models and isomonodromic tau functions nlin.SI/0204054
    • Bertola, M.1    Eynard, B.2    Harnad, J.3
  • 9
    • 0038407689 scopus 로고    scopus 로고
    • Riemann-Hilbert problem for bi-orthogonal polynomials
    • A. Kapaev Riemann-Hilbert problem for bi-orthogonal polynomials J. Phys. A 36 2003 4629-4640
    • (2003) J. Phys. A , vol.36 , pp. 4629-4640
    • Kapaev, A.1
  • 11
    • 0001283085 scopus 로고
    • The isomonodromy approach to the matrix models in 2D gravity
    • A.S. Fokas A.R. Its A. Kitaev The isomonodromy approach to the matrix models in 2D gravity Commun. Math. Phys. 147 1992 395-430
    • (1992) Commun. Math. Phys. , vol.147 , pp. 395-430
    • Fokas, A.S.1    Its, A.R.2    Kitaev, A.3
  • 12
    • 0037471307 scopus 로고    scopus 로고
    • Complex curve of the two matrix model and its tau-function
    • V.A. Kazakov A. Marshakov Complex curve of the two matrix model and its tau-function J. Phys. A 36 2003 3107-3136
    • (2003) J. Phys. A , vol.36 , pp. 3107-3136
    • Kazakov, V.A.1    Marshakov, A.2
  • 13
    • 0012102233 scopus 로고    scopus 로고
    • Matrix models vs. Seiberg-Witten/Whitham theories
    • hep-th/0209085
    • L. Chekhov A. Mironov Matrix models vs. Seiberg-Witten/Whitham theories hep-th/0209085
    • Chekhov, L.1    Mironov, A.2
  • 14
    • 6044269713 scopus 로고
    • Non-perturbative effects in matrix models and vacua of two-dimensional gravity
    • hep-th/9212106
    • F. David Non-perturbative effects in matrix models and vacua of two-dimensional gravity Phys. Lett. B 302 1993 403-410 hep-th/9212106
    • (1993) Phys. Lett. B , vol.302 , pp. 403-410
    • David, F.1
  • 15
    • 0034730267 scopus 로고    scopus 로고
    • Breakdown of universality in multi-cut matrix models
    • F. David G. Bonnet B. Eynard Breakdown of universality in multi-cut matrix models J. Phys. A 33 2000 6739
    • (2000) J. Phys. A , vol.33 , pp. 6739
    • David, F.1    Bonnet, G.2    Eynard, B.3
  • 16
    • 0032475010 scopus 로고    scopus 로고
    • On the structure of normal matrix model
    • hep-th/9711091
    • L.-L. Chau O. Zaboronsky On the structure of normal matrix model Commun. Math. Phys. 196 1998 203-247 hep-th/9711091
    • (1998) Commun. Math. Phys. , vol.196 , pp. 203-247
    • Chau, L.-L.1    Zaboronsky, O.2
  • 18
    • 0037471327 scopus 로고    scopus 로고
    • Large scale correlations in normal and general non-hermitian matrix ensembles
    • P.B. Wiegmann A. Zabrodin Large scale correlations in normal and general non-hermitian matrix ensembles J. Phys. A 36 2003 3411-3424
    • (2003) J. Phys. A , vol.36 , pp. 3411-3424
    • Wiegmann, P.B.1    Zabrodin, A.2
  • 19
    • 0001703129 scopus 로고
    • Statistical ensembles of complex quaternion and real matrices
    • J. Ginibre Statistical ensembles of complex quaternion and real matrices J. Math. Phys. 6 3 1965 440
    • (1965) J. Math. Phys. , vol.6 , Issue.3 , pp. 440
    • Ginibre, J.1
  • 20
  • 22
    • 0004266556 scopus 로고
    • Universalities: From Anderson localization to quantum chaos
    • E. Akkermans G. Montambaux J.-L. Pichard J. Zinn-Justin (Eds.) Les Houches Summer School, Session LXI Elsevier Amsterdam
    • B.L. Altshuler B.D. Simons Universalities: From Anderson localization to quantum chaos In: E. Akkermans G. Montambaux J.-L. Pichard J. Zinn-Justin (Eds.) Mesoscopic Quantum Physics Les Houches Summer School, Session LXI 1995 Elsevier Amsterdam
    • (1995) Mesoscopic Quantum Physics
    • Altshuler, B.L.1    Simons, B.D.2
  • 23
    • 0039023123 scopus 로고    scopus 로고
    • Integrable Lax hierarchies, their symmetry reductions and multi-matrix models
    • hep-th/9503211
    • H. Aratyn Integrable Lax hierarchies, their symmetry reductions and multi-matrix models hep-th/9503211
    • Aratyn, H.1
  • 24
    • 7244253072 scopus 로고    scopus 로고
    • Duality of spectral curves arising in two-matrix models
    • nlin.SI/0112006
    • M. Bertola B. Eynard J. Harnad Duality of spectral curves arising in two-matrix models nlin.SI/0112006
    • Bertola, M.1    Eynard, B.2    Harnad, J.3
  • 25
    • 7244231272 scopus 로고    scopus 로고
    • Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem
    • nlin.SI/0208002
    • M. Bertola B. Eynard J. Harnad Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem nlin.SI/0208002
    • Bertola, M.1    Eynard, B.2    Harnad, J.3
  • 29
    • 34250285119 scopus 로고
    • Integration of nonlinear equations by the method of algebraic geometry
    • I.M. Krichever Integration of nonlinear equations by the method of algebraic geometry Functional Anal. Appl. 11 1977 12-26
    • (1977) Functional Anal. Appl. , vol.11 , pp. 12-26
    • Krichever, I.M.1
  • 33
    • 49149137872 scopus 로고
    • Monodromy preserving deformations of linear ordinary differential equations with rational coefficients I
    • M. Jimbo T. Miwa K. Ueno Monodromy preserving deformations of linear ordinary differential equations with rational coefficients I Physica D 2 1981 306-352
    • (1981) Physica D , vol.2 , pp. 306-352
    • Jimbo, M.1    Miwa, T.2    Ueno, K.3
  • 34
    • 49049148970 scopus 로고
    • Monodromy preserving deformation of linear ordinary differential equations with rational coefficients II
    • M. Jimbo T. Miwa Monodromy preserving deformation of linear ordinary differential equations with rational coefficients II Physica D 2 1981 407-448
    • (1981) Physica D , vol.2 , pp. 407-448
    • Jimbo, M.1    Miwa, T.2
  • 35
    • 34250256469 scopus 로고
    • Monodromy- and spectrum-preserving deformations
    • H. Flaschka A.C. Newell Monodromy- and spectrum-preserving deformations Commun. Math. Phys. 76 1980 65-116
    • (1980) Commun. Math. Phys. , vol.76 , pp. 65-116
    • Flaschka, H.1    Newell, A.C.2
  • 36
    • 0042488045 scopus 로고    scopus 로고
    • Dual isomonodromic problems and Whitham equations
    • K. Takasaki Dual isomonodromic problems and Whitham equations Lett. Math. Phys. 43 1998 123-135
    • (1998) Lett. Math. Phys. , vol.43 , pp. 123-135
    • Takasaki, K.1
  • 39
    • 0242290716 scopus 로고    scopus 로고
    • Conformal field theory techniques in random matrix models
    • hep-th/9907060
    • I.K. Kostov Conformal field theory techniques in random matrix models hep-th/9907060
    • Kostov, I.K.1
  • 42
    • 23044511706 scopus 로고    scopus 로고
    • Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices
    • cond-mat/9707005
    • B. Eynard Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices cond-mat/9707005
    • Eynard, B.1
  • 47
    • 0037471255 scopus 로고    scopus 로고
    • The solution of a chiral random matrix model with complex eigenvalues
    • G. Akemann The solution of a chiral random matrix model with complex eigenvalues J. Phys. A 36 2002 3363
    • (2002) J. Phys. A , vol.36 , pp. 3363
    • Akemann, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.