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

Bell numbers in Matsunaga’s and Arima’s Genjikō combinatorics: Modern perspectives and local limit theorems

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)

Asymptotics and statistics on Fishburn matrices: Dimension distribution and a conjecture of Stoimenow

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

Phase transitions from exp(n^{1/2}) to exp(n^{2/3}) in the asymptotics of banded plane partitions

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.

Sharp bounds on the runtime of the (1+1)-EA via drift analysis and analytic combinatorial tools

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

Asymptotics and statistics on Fishburn matrices and their generalizations

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

Node profiles of symmetric digital search trees: Concentration properties

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

Asymptotic expansions for sub-critical Lagrangean forms

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.

Asymptotic distribution of parameters in random maps

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.

An asymptotic distribution theory for Eulerian recurrences with applications

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)

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