Variance of binomial splitting processes

Hsien-Kuei Hwang, Variance of binomial splitting processes, plenary talk delivered at AofA'11 (June 16, 2011; Będlewo, Poland). slide-file (1.4M)

Multivariate records based on dominance

Hsien-Kuei Hwang and Tsung-Hsi Tsai, Multivariate records based on dominance, Electronic Journal of Probability, 15 (2010), 1863-1892. pdf (487K; 29 pages) arXiv

Psi-series method for equality of random trees and quadratic convolution recurrences

Hua-Huai Chern, María-Inés Fernández-Camacho, Hsien-Kuei Hwang and Conrado Martínez, Psi-series method for equality of random trees and quadratic convolution recurrences, Random Structures and Algorithms, 44 (2014), 67–108 (revised February 28, 2012). pdf (348K; 41 pages) arXiv

Asymptotic variance of random digital search trees

Hsien-Kuei Hwang, Michael Fuchs and Vytas Zacharovas, Asymptotic variance of random digital search trees, DMTCS (Special issue in honor of Philippe Flajolet), 12:2 (2010), 103-166; dedicated to the 60th birthday of Philippe Flajolet. pdf (1,074K; 64 pages) arXiv (earlier version; one beautiful figure missing) For more plots of random digital search trees, see this page.

The connectivity-profile of random increasing k-trees

Alexis Darrasse, Hsien-Kuei Hwang, Olivier Bodini and Michèle Soria, The connectivity-profile of random increasing k-trees, (extended abstract) to be presented at ANALCO 2010. pdf (221K; 11 pages) arXiv HAL (Hyper Articles en Ligne) (October 10, 2009)

Maxima-finding algorithms for multidimensional samples: A two-phase approach

Wei-Mei Chen, Hsien-Kuei Hwang and Tsung-Hsi Tsai, Maxima-finding algorithms for multidimensional samples: A two-phase approach, Computational Geometry. Theory and Applications, 45(1-2) 2012, 33-53. pdf (381K; 22 pages) arXiv (earlier version)

Phase changes in random structures and algorithms

Slides of lectures for Summer School in Applied Probability (Fields-MITACS), Carleton University, Ottawa, May 20-21, 2009. First lecture (phase changes), Second lecture (method of moments), Third lecture (differential equations), Fourth lecture (profiles of random log-trees)

A central limit theorem for random factorizations of integers

Hsien-Kuei Hwang and Svante Janson, A central limit theorem for random ordered factorizations of integers, Electronic Journal of Probability, 16 (2011), Paper 12, 347-361. pdf (213K; 16 pages) arXiv (old version) Erratum (Electronic Journal of Probability, 18, Article 16, 3 pages)

A Charlier-Parseval approach to Poisson approximation and its applications

Vytas Zacharovas and Hsien-Kuei Hwang, A Charlier-Pareval approach to Poisson approximation and its applications, Lithuanian Mathematical Journal, 50:1 (2010), 88-119. pdf (367K; 34 pages) Arxiv

Uniform asymptotics of Poisson approximation to the Poisson-binomial distribution

Hsien-Kuei Hwang and Vytas Zacharovas, Uniform asymptotics of Poisson approximation to the Poisson-binomial distribution, Theory of Probability and Its Applications, 55:2 (2011), 198-224. pdf (339 KB; 28 pages)

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