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Shao-Hua Liu
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All published works
Action
Title
Year
Authors
+
PDF
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Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity
2024
Tao Shen
Shao-Hua Liu
Jiaqi Feng
Zelin Ma
Ning An
+
r-Euler-Mahonian statistics on permutations
2024
Shao-Hua Liu
+
PDF
Chat
The global convergence properties of an adaptive QP-free method without a penalty function or a filter for minimax optimization
2023
Ke Su
Shao-Hua Liu
Wei Lu
+
The Haglund鈥揜emmel鈥揥ilson identity for set partitions
2023
Shao-Hua Liu
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The Haglund鈥揜emmel鈥揥ilson identity for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si3.svg"><mml:mi>k</mml:mi></mml:math>-Stirling permutations
2022
Shao-Hua Liu
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Statistics on trapezoidal words and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e224" altimg="si49.svg"><mml:mi>k</mml:mi></mml:math>-inversion sequences
2022
Shao-Hua Liu
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PDF
Chat
Mahonian and Euler-Mahonian statistics for set partitions
2022
Shao-Hua Liu
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Mahonian and Euler-Mahonian statistics for set partitions
2022
Shao-Hua Liu
+
An area-type nonmonotone filter method for nonlinear constrained optimization
2022
Ke Su
Wei Lu
Shao-Hua Liu
+
MacMahon's equidistribution theorem for k-Stirling permutations
2021
Shao-Hua Liu
+
PDF
Chat
Assessing influence of preoperative factors on delirium after cardiac surgery in elderly patients: Methodological issues
2020
Yi Cheng
Fu鈥怱han Xue
Liu-Jia-Zi Shao
Shao-Hua Liu
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Development of a risk prediction model for acute kidney injury after coronary artery bypass grafting: methodological issues
2020
Shao-Hua Liu
Fu鈥怱han Xue
Zheng Li
Hai鈥怞un Hou
+
An involution on increasing trees
2019
Shao-Hua Liu
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The operators <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e300" altimg="si17.svg"><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math> on permutations, 132-avoiding permutations and inversions
2019
Shao-Hua Liu
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Some properties of topological pressure of a semigroup of continuous maps
2013
Dongkui Ma
Shao-Hua Liu
Common Coauthors
Coauthor
Papers Together
Wei Lu
2
Ke Su
2
Fu鈥怱han Xue
2
Zelin Ma
1
Ning An
1
Zheng Li
1
Jiaqi Feng
1
Yi Cheng
1
Hai鈥怞un Hou
1
Tao Shen
1
Dongkui Ma
1
Liu-Jia-Zi Shao
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
A Combinatorial Property of <i>q</i>-Eulerian Numbers
1975
L. Carlitz
5
+
PDF
Chat
An extension of MacMahon's equidistribution theorem to ordered set partitions
2015
Jeffrey B. Remmel
Andrew Timothy Wilson
5
+
On the Netto inversion number of a sequence
1968
Dominique Foata
3
+
PDF
Chat
Real Zeros and Normal Distribution for Statistics on Stirling Permutations Defined by Gessel and Stanley
2009
Mikl贸s B贸na
3
+
Generalized Stirling permutations, families of increasing trees and urn models
2009
Svante Janson
Markus Kuba
Alois Panholzer
3
+
The r-multipermutations
1994
SeungKyung Park
3
+
The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>k</mml:mi></mml:math>-Eulerian polynomials and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>k</mml:mi></mml:math>-Stirling permutations
2015
Shi-Mei Ma
Toufik Mansour
3
+
Stirling polynomials
1978
Ira M. Gessel
Richard P. Stanley
3
+
PDF
Chat
The ${1/k}$-Eulerian Polynomials
2012
Carla D. Savage
Gopal Viswanathan
2
+
Stable multivariate Eulerian polynomials and generalized Stirling permutations
2012
J. Haglund
Mirk贸 Visontai
2
+
The r-major index
1981
Don Rawlings
2
+
PDF
Chat
The genus zeta function of hereditary orders in central simple algebras over global fields
1990
Marleen Denert
2
+
An Extension of the Foata Map to Standard Young Tableaux
2006
J. Haglund
L. Stevens
2
+
Combinatorics of Permutations
2022
Mikl贸s B贸na
2
+
AN EULERIAN PARTNER FOR INVERSIONS
2001
Mark Skandera
2
+
A major index for matchings and set partitions
2008
William Y. C. Chen
Ira M. Gessel
Catherine H. Yan
Arthur L. B. Yang
2
+
Major index for 01-fillings of moon polyominoes
2010
William Y. C. Chen
Svetlana Poznanovi膰
Catherine H. Yan
Arthur L. B. Yang
2
+
Combinatorics of Set Partitions
2012
Toufik Mansour
2
+
Some statistics on Stirling permutations and Stirling derangements
2018
Guan-Huei Duh
Yen-chi Roger Lin
Shi-Mei Ma
Yeong-Nan Yeh
2
+
MacMahon's equidistribution theorem for k-Stirling permutations
2021
Shao-Hua Liu
2
+
Further extensions of Haglund-Remmel-Wilson identity
2022
Sherry H. F. Yan
Ling Sha
Lihong Yang
Robin D. P. Zhou
2
+
Plane recursive trees, Stirling permutations and an urn model
2008
Svante Janson
2
+
Nonlinear programming without a penalty function
2002
R. Fletcher
Sven Leyffer
2
+
Interpr茅tations combinatoires des nombres de Genocchi
1974
Dominique Dumont
2
+
Denert's Permutation Statistic Is Indeed Euler鈥怣ahonian
1990
Dominique Foata
Doron Zeilberger
2
+
PDF
Chat
An Extension of MacMahon's Equidistribution Theorem to Ordered Multiset Partitions
2016
Andrew Timothy Wilson
2
+
PDF
Chat
The Ascent-Plateau Statistics on Stirling Permutations
2019
Shi-Mei Ma
Jun Ma
Yeong鈥怤an Yeh
2
+
A partially inexact bundle method for convex semi-infinite minmax problems
2014
Antonio Fuduli
Manlio Gaudioso
Giovanni Giallombardo
Giovanna Miglionico
1
+
Aq-Analogue of Fa脿 di Bruno's Formula
1996
Warren P. Johnson
1
+
Permutations with Inversions
2001
Barbara Margolius
1
+
A classification of mahonian maj-inv statistics
2008
Anisse Kasraoui
1
+
Patterns in Permutations and Words
2011
Sergey Kitaev
1
+
PDF
Chat
None
1998
Francesco Brenti
1
+
A bijection on Dyck paths and its consequences
1998
Emeric Deutsch
1
+
Some applications of the q-exponential formula
1996
Warren P. Johnson
1
+
Topological entropy for non-uniformly continuous maps
2005
Boris Hasselblatt
Zbigniew Nitecki
James Propp
1
+
PDF
Chat
Distribution of nodes of a tree by degree
1970
Hwa Sung Na
Anatol Rapoport
1
+
On topological entropy of maps
1995
Mike Hurley
1
+
New Euler鈥揗ahonian Statistics on Permutations and Words
1997
Robert J. Clarke
Einar Steingr谋虂msson
Jiang Zeng
1
+
PDF
Chat
Varieties of increasing trees
1992
Fran莽ois Bergeron
Philippe Flajolet
Bruno Salvy
1
+
The Subgradient Method
1985
Naun Zuselevich Shor
1
+
Variational principles of pressure
2009
Guohua Zhang
1
+
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
2005
Philip E. Gill
Walter Murray
Michael A. Saunders
1
+
PDF
Chat
Topological entropy for noncompact sets
1973
Rufus Bowen
1
+
PDF
Chat
Entropy for group endomorphisms and homogeneous spaces
1971
Rufus Bowen
1
+
Some more properties of Catalan numbers
1992
Elena Barcucci
M. Cecilia Verri
1
+
PDF
Chat
A local variational principle of pressure and its applications to equilibrium states
2007
Wen Huang
Yingfei Yi
1
+
Simple Sequential Quadratically Constrained Quadratic Programming Feasible Algorithm with Active Identification Sets for Constrained Minimax Problems
2013
Jinbao Jian
Xing-de Mo
Qiu Lijuan
Su-ming Yang
Wang Fu-sheng
1
+
PDF
Chat
Han鈥檚 bijection via permutation codes
2010
William Y. C. Chen
Neil J. Y. Fan
Teresa X. S. Li
1
+
Bijections related to statistics on words
1988
J. P. Greene
1