VOL. 9 | 2012
Charles Bordenave, Djalil Chafaï
Probab. Surveys 9, 1-89, (2012) DOI: 10.1214/11-PS183 Open Access
KEYWORDS: spectrum, singular values, random matrices, Random graphs, circular law, 15B52, 60B20, 60F15
David Aldous, Daniel Lanoue
Probab. Surveys 9, 90-102, (2012) DOI: 10.1214/11-PS184 Open Access
KEYWORDS: Duality, interacting particle systems, rate of convergence, spectral gap, voter model, 60K35, 60K99
Svante Janson
Probab. Surveys 9, 103-252, (2012) DOI: 10.1214/11-PS188 Open Access
KEYWORDS: Random trees, Simply generated trees, Galton–Watson trees, random allocations, balls in boxes, Size-biased Galton–Watson tree, random forests, 60C50, 05C05, 60F05, 60J80
Francis Hirsch, Marc Yor
Probab. Surveys 9, 253-286, (2012) DOI: 10.1214/11-PS179 Open Access
KEYWORDS: Temporally completely monotone function, completely excessive function, completely superharmonic function, Lamperti’s correspondence, Lamperti process, Markov process, 60J45, 60J25, 60J35, 60G18
N.H. Bingham
Probab. Surveys 9, 287-324, (2012) DOI: 10.1214/11-PS178 Open Access
KEYWORDS: stationary process, Prediction theory, orthogonal polynomials on the unit circle, partial autocorrelation function, moving average, autoregressive, long-range dependence, Hardy space, cepstrum, 60G10, 60G25
N.H. Bingham
Probab. Surveys 9, 325-339, (2012) DOI: 10.1214/12-PS200 Open Access
KEYWORDS: stationary process, vector-valued, multivariate prediction theory, multivariate orthogonal polynomials on the unit circle (MOPUC), Kolmogorov isomorphism theorem, Verblunsky’s theorem, Szegö’s theorem, 60G10, 60G25
Sylvie Méléard, Denis Villemonais
Probab. Surveys 9, 340-410, (2012) DOI: 10.1214/11-PS191 Open Access
KEYWORDS: Population dynamics, quasi-stationarity, Yaglom limit, birth and death process, logistic Feller diffusion, Fleming-Viot particle system, 92D25, 60J70, 60J80, 65C50
Stavros Vakeroudis
Probab. Surveys 9, 411-437, (2012) DOI: 10.1214/12-PS195 Open Access
KEYWORDS: Bougerol’s identity, time-change, hyperbolic Brownian motion, Subordination, Gauss-Laplace transform, Planar Brownian motion, Ornstein-Uhlenbeck processes, two-dimensional Bougerol’s identity, Local time, multi-dimensional Bougerol’s identity, Bougerol’s diffusion, peacock, Convex order, Bougerol’s process, 60J65, 60J60, 60-02, 60G07, 60G15, 60J25, 60G46, 60E10, 60J55, 30C80, 44A10
Geoffrey Grimmett
Probab. Surveys 9, 438, (2012) DOI: 10.1214/12-PS210 Open Access
KEYWORDS: 60K35, 82B43
David M. Mason, Harrison H. Zhou
Probab. Surveys 9, 439-479, (2012) DOI: 10.1214/12-PS198 Open Access
KEYWORDS: Quantile coupling, large deviation, KMT construction, ‎asymptotic ‎equivalence, Function estimation, 62E17, 62B15, 62G05
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