VOL. 19 | 2022
 
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Articles
Mamikon S. Ginovyan, Murad S. Taqqu
Probab. Surveys 19, 1-64, (2022) DOI: 10.1214/21-PS3 Open Access
KEYWORDS: central and non-central limit theorems, Toeplitz type quadratic functional, Stationary processes, Spectral density, Brownian motion, parametric and nonparametric estimation, 60F05, 60G10, 60G15, 62F12, 62G05
Duncan Dauvergne, Mihai Nica, Bálint Virág
Probab. Surveys 19, 65-112, (2022) DOI: 10.1214/22-PS4 Open Access
KEYWORDS: RSK bijection, Pitman transform, Robinson-Schensted correspondence, Greene’s theorem, Last passage percolation, KPZ universality class, Young tableaux, 05A05, 60K35
Elisabeth M. Werner
Probab. Surveys 19, 113-128, (2022) DOI: 10.1214/22-PS5 Open Access
KEYWORDS: Floating bodies, affine surface area, Random polytopes, 52A20, 52A40, 60B
Kouji Yano
Probab. Surveys 19, 129-159, (2022) DOI: 10.1214/22-PS6 Open Access
KEYWORDS: Polish semigroup, Rees decomposition, Ellis–Żelazko theorem, convolution idempotent, infinite convolution, 60B15, 60F05, 60G50
N. H. Bingham
Probab. Surveys 19, 160-184, (2022) DOI: 10.1214/20-PS360 Open Access
KEYWORDS: Cramér representation, Kolmogorov isomorphism theorem, Verblunsky coefficients, Szegő’s theorem, Szegő alternative, Beurling-Lax-Halmos theorem, functional time series, functional principal components, Karhunen-Loève expansion, kernel methods, 60-02, 62-02
Hanna Döring, Sabine Jansen, Kristina Schubert
Probab. Surveys 19, 185-270, (2022) DOI: 10.1214/22-PS7 Open Access
KEYWORDS: Cumulants, central limit theorems, Berry-Esseen theorems, large and moderate deviations, heavy-tailed variables, 60F05, 60F10, 60G70, 60K35
V. Čekanavičius, S. Y. Novak
Probab. Surveys 19, 271-350, (2022) DOI: 10.1214/22-PS8 Open Access
KEYWORDS: compound Poisson approximation, signed compound Poisson measure, Kolmogorov’s problem, total variation distance, Gini–Kantorovich distance, 60E15, 60F05, 60G50, 60G51, 60G55, 60G70, 60J75, 62E17, 62E20
Yilin Wang
Probab. Surveys 19, 351-403, (2022) DOI: 10.1214/22-PS9 Open Access
KEYWORDS: Schramm-Loewner evolution, large deviation principle, Loewner energy, Loewner-Kufarev energy, Weil-Petersson quasicircle, 60J67, 60F10, 30C55
Raouf Fakhfakh
Probab. Surveys 19, 404-449, (2022) DOI: 10.1214/22-PS10 Open Access
KEYWORDS: variance function, Stieltjes transform, Free convolution, boolean convolution, 60E10, 46L54
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