Hsien-Kuei Hwang, Svante Janson, and Tsung-Hsi Tsai, Identities and Periodic Oscillations of Divide-and-Conquer Recurrences Splitting at Half, submitted for publication, October 2022. arXiv pdf (70 pages)
Hsien-Kuei Hwang, A curious identity in connection with saddle-point method and Stirling's formula, submitted for publication, April, 2022. arXiv pdf (Apr. 2022) pdf (revised, Sep. 2023)
Xiaoling Dou, Hsien-Kuei Hwang and Chong-Yi Li, Bell numbers in Matsunaga’s and Arima’s Genjikō combinatorics: Modern perspectives and local limit theorems (September, 2021). pdf (1.1M)
Hsien-Kuei Hwang, Emma Yu Jin, and Michael Schlosser, Asymptotics and statistics on Fishburn matrices: Dimension distribution and a conjecture of Stoimenow, submitted for publication (2021). pdf
Wenjie. Fang, Hsien-Kuei Hwang, and Mihyun Kang, Phase transitions from exp(n^{1/2}) to exp(n^{2/3}) in the asymptotics of banded plane partitions, Journal of Combinatorial Theory, Series A, 178 (2021), 105363. pdf.
Hsien-Kuei Hwang and Carsten Witt (2019), Sharp bounds on the runtime of the (1+1)-EA via drift analysis and analytic combinatorial tools, In: Proc. of Foundations of Genetic Algorithms XV - FOGA 2019, ACM Press, pp. 1-12. doi pdf
Hsien-Kuei Hwang and Emma Yu Jin, Asymptotics and statistics on Fishburn matrices and their generalizations, Journal of Combinatorial Theory, Series A, 180 (May 2021), 105413. pdf (54 pages) arXiv
Michael Drmota, Michael Fuchs, Hsien-Kuei Hwang, and Ralph Neininger, Node profiles of symmetric digital search trees: Concentration properties, Random Structures and Algorithms, to appear. pdf arxiv
Hsien-Kuei Hwang, Miyun Kang and Guan-Huei Duh, Asymptotic expansions for sub-critical Lagrangean forms, AofA 2018 (Uppsala, June 25-29), LIPICS 110, Paper 29.
Olivier Bodini, Julien Courtiel, Sergey Dovgal and Hsien-Kuei Hwang, Asymptotic distribution of parameters in random maps, AofA 2018 (Uppsala, June 25-29), LIPICS 110, Paper 13.
Hsien-Kuei Hwang, Hua-Huai Chern and Guan-Huei Duh, An asymptotic distribution theory for Eulerian recurrences with applications, Advances in Applied Mathematics, to appear (2019) pdf (114 pages). arXiv: 1807.01412 Supplementary materials: Eulerian recurrences (P_n(v)=a_n(v)P_{n-1}(v)+b_n(v)(1-v)P_{n-1}'(v)) Degenerate Eulerian recurrences (P_n(v)=a_n(v)P_{n-1}(v)) (refresh the two webpages if the math displays are not properly rendered)
Michael Fuchs and Hsien-Kuei Hwang, Dependence between Path-length and Size in Random Digital Trees (a conference version), Journal of Applied Probability, accepted for publication (2017). pdf (934K; 21 pages; 3 figures) arXiv: 1701.02397
Hsien-Kuei Hwang, Svante Janson and Tsung-Hsi Tsai, Exact and asymptotic solutions of the recurrence f(n) = f(floor(n/2))+ f(ceiling(n/2)) + g(n): theory and applications, ACM Transactions on Algorithms, Volume 13 Issue 4, Article No. 47, November 2017 (NB: title in the published version changed to "Exact and Asymptotic Solutions of a Divide-and-Conquer Recurrence Dividing at Half: Theory and Applications". pdf (1.8M, 49 pages, 46 figures)
Hsien-Kuei Hwang, Periodic oscillations of divide-and-conquer recurrences with balanced part sizes, keynote speech delivered at the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Kraków, Poland, July 4–8, 2016. slides (2.2M)
Michael Drmota, Michael Fuchs, Hsien-Kuei Hwang and Ralph Neininger, External profile of symmetric digital search trees (extended abstract), in Proceedings of ANALCO 2017, pp. 124-130. pdf (179K)
Olivier Bodini, Matthieu Dien, Xavier Fontaine, Antoine Genitrini and Hsien-Kuei Hwang, Increasing diamonds, presented at LATIN 2016 (Latin American Theoretical Informatics Symposium, Ensenada, México, April 11-15 2016) and appeared in Volume 9644 of Lecture Notes in Computer Science, pp. 207-219. pdf (374K; 12 pages)
Michael Fuchs and Hsien-Kuei Hwang, Dependence between external path-length and size in random tries, accepted for presentation at The 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, AofA'16, Krakow, Poland (July 4-8, 2016). pdf (561K; 12 pages) arXiv:1604.08658 arXiv
Axel Bacher, Olivier Bodini, Hsien-Kuei Hwang, Tsung-Hsi Tsai, Generating random permutations by coin-tossing: classical algorithms, new analysis and modern implementation, ACM Transactions on Algorithms, 13 (2017), Article 24, 43 pages. pdf (835K; 43 pages)
Michael Fuchs, Hsien-Kuei Hwang, and Yoshiaki Itoh, From coin-tossing to rock-paper-scissors and beyond: A log-exp gap theorem for selecting a leader, Journal of Applied Probability, 54 (2017), 213-235. pdf (264K; 24 pages) arXiv:1507.08145
Hua-Huai Chern, Michael Fuchs, Hsien-Kuei Hwang, and Ralph Neininger, Dependence and phase changes in random m-ary search trees, Random Structures and Algorithms, 50 (2017), 353-379. pdf (465K; 38 pages) arXiv: 1501.05135