A curious identity in connection with saddle-point method and Stirling's formula
Hsien-Kuei Hwang, A curious identity in connection with saddle-point method and Stirling's formula, submitted for publication, April, 2022. pdf
Hsien-Kuei Hwang, A curious identity in connection with saddle-point method and Stirling's formula, submitted for publication, April, 2022. pdf
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, Electronic Journal of Combinatorics, 29:2 (2022), P2.2. 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, Random Structures and Algorithms, in press (2022). 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, 58:3 (2021), 430-467. 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)