Edit Profile Rambour, Philippe Compute Distance To: Compute Author ID: rambour.philippe Published as: Rambour, Philippe Documents Indexed: 17 Publications since 1991 Co-Authors 5 single-authored 9 Seghier, Abdellatif 4 Rinkel, Jean-Marc all top 5 Serials 4 Bulletin des Sciences Mathématiques 2 Integral Equations and Operator Theory 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annales des Sciences Mathématiques du Québec 1 Probability and Mathematical Statistics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annales Mathématiques du Québec 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 12 Linear and multilinear algebra; matrix theory (15-XX) 9 Operator theory (47-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 12 Publications have been cited 36 times in 18 Documents Cited by ▼ Year ▼ Formulas for the inverses of Toeplitz matrices with polynomially singular symbols. Zbl 1069.47027Rambour, Philippe; Seghier, Abdellatif 7 2004 Asymptotic inverse of Toeplitz matrices with symbol \((1-\cos \theta )^\alpha f_1\), \(\frac{-1}{2} <\alpha \leq\frac12\), and integral kernels. Zbl 1191.47046Rambour, Philippe; Seghier, Abdellatif 5 2010 Inversion of Toeplitz matrices whose symbols admit a root of positive rational order for the minimal eigenvalue. Zbl 1243.15017Rambour, Philippe; Seghier, Abdellatif 4 2012 Trace theorems of Szegő type in the singular case. Zbl 1089.47028Rambour, Philippe; Seghier, Abdellatif 4 2005 Exact and asymptotic inverse of the Toeplitz matrix with polynomial singular symbol. Zbl 1012.65025Rambour, Philippe; Seghier, Abdellatif 4 2002 Maximal eigenvalue and norm of a product of Toeplitz matrices. Study of a particular case. Zbl 1282.47041Rambour, Philippe 2 2013 The generalised Dyson circular unitary ensemble: asymptotic distribution of the eigenvalues at the origin of the spectrum. Zbl 1217.15042Rambour, Philippe; Seghier, Abdellatif 2 2011 Asymptotic inversion of Toeplitz matrices with one singularity in the symbol. Zbl 1167.47024Rambour, Philippe; Seghier, Abdellatif 2 2009 An extension of a result of Szegő on eigenvalues of Toeplitz matrices. Zbl 1125.47021Rambour, Philippe; Seghier, Abdellatif 2 2007 Asymptotic inverse of the Toeplitz matrix and Green kernel. Zbl 0965.15002Rambour, Philippe; Rinkel, Jean-Marc; Seghier, Abdellatif 2 2000 A strong Spitzer-Stone theorem for a Toeplitz matrix with singular symbol defined by a class of analytic functions. Zbl 1145.47024Rambour, Philippe; Rinkel, Jean-Marc 1 2007 Application of the exact inverse of the Toeplitz matrix with singular rational symbol to random walks. Zbl 1102.47062Rambour, Philippe; Rinkel, Jean-Marc 1 2005 Maximal eigenvalue and norm of a product of Toeplitz matrices. Study of a particular case. Zbl 1282.47041Rambour, Philippe 2 2013 Inversion of Toeplitz matrices whose symbols admit a root of positive rational order for the minimal eigenvalue. Zbl 1243.15017Rambour, Philippe; Seghier, Abdellatif 4 2012 The generalised Dyson circular unitary ensemble: asymptotic distribution of the eigenvalues at the origin of the spectrum. Zbl 1217.15042Rambour, Philippe; Seghier, Abdellatif 2 2011 Asymptotic inverse of Toeplitz matrices with symbol \((1-\cos \theta )^\alpha f_1\), \(\frac{-1}{2} <\alpha \leq\frac12\), and integral kernels. Zbl 1191.47046Rambour, Philippe; Seghier, Abdellatif 5 2010 Asymptotic inversion of Toeplitz matrices with one singularity in the symbol. Zbl 1167.47024Rambour, Philippe; Seghier, Abdellatif 2 2009 An extension of a result of Szegő on eigenvalues of Toeplitz matrices. Zbl 1125.47021Rambour, Philippe; Seghier, Abdellatif 2 2007 A strong Spitzer-Stone theorem for a Toeplitz matrix with singular symbol defined by a class of analytic functions. Zbl 1145.47024Rambour, Philippe; Rinkel, Jean-Marc 1 2007 Trace theorems of Szegő type in the singular case. Zbl 1089.47028Rambour, Philippe; Seghier, Abdellatif 4 2005 Application of the exact inverse of the Toeplitz matrix with singular rational symbol to random walks. Zbl 1102.47062Rambour, Philippe; Rinkel, Jean-Marc 1 2005 Formulas for the inverses of Toeplitz matrices with polynomially singular symbols. Zbl 1069.47027Rambour, Philippe; Seghier, Abdellatif 7 2004 Exact and asymptotic inverse of the Toeplitz matrix with polynomial singular symbol. Zbl 1012.65025Rambour, Philippe; Seghier, Abdellatif 4 2002 Asymptotic inverse of the Toeplitz matrix and Green kernel. Zbl 0965.15002Rambour, Philippe; Rinkel, Jean-Marc; Seghier, Abdellatif 2 2000 all cited Publications top 5 cited Publications all top 5 Cited by 14 Authors 11 Rambour, Philippe 8 Seghier, Abdellatif 3 Rinkel, Jean-Marc 1 Böttcher, Albrecht 1 Chanzy, Jean 1 Dakovic, Rada 1 Denker, Manfred 1 Fukshansky, Lenny 1 Garcia García, David 1 Garcia, Stephan Ramon 1 Gordin, Mikhail Iosifovich 1 Maharaj, Hiren 1 Sakhnovich, Alexander L. 1 Tierz, Miguel all top 5 Cited in 11 Serials 4 Bulletin des Sciences Mathématiques 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales Mathématiques du Québec 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Transactions of the American Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 13 Fields 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year