Publications (83)
Congruences between Selmer groups
Li Guo
Structure of Hochschild cohomology of path algebras and differential formulation of Euler's polyhedron formula
Li Guo, Fang Li
Quantified-Self 2.0: Using Context-Aware Services for Promoting Gradual Behaviour Change
Li Guo
Free involutive Hom-semigroups and Hom-associative algebras
Li Guo, Shanghua Zheng
Integrable Renormalization I: the Ladder Case
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
Baxter Algebras and Umbral Calculus
Li Guo
Mixable Shuffles, Quasi-shuffles and Hopf Algebras
Kurusch Ebrahimi-Fard, Li Guo
PostLie algebra structures on the Lie algebra sl(2,C)
Yu Pan, Qing Liu, Chengming Bai +1
Baxter Algebras and Differential Algebras
Li Guo
O-operators on associative algebras and dendriform algebras
Chengming Bai, Li Guo, Xiang Ni
Renormalization of multiple zeta values
Li Guo, Bin Zhang
Enumeration of Rota-Baxter Words
Li Guo, William Y. Sit
Integrable Renormalization II: the general case
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
$O$-operators on associative algebras and associative Yang-Baxter equations
Chengming Bai, Li Guo, Xiang Ni
Rota's Classification Problem, rewriting systems and Gröbner-Shirshov bases
Xing Gao, Li Guo
Nijenhuis algebras, NS algebras and N-dendriform algebras
Li Guo, Peng Lei
Baxter Algebras and Shuffle Products
Li Guo, William Keigher
Rota-Baxter operators on $sl(2,C)$ and solutions of the classical Yang-Baxter equation
Jun Pei, Chengming Bai, Li Guo
Bialgebra and Hopf algebra structures on free Rota-Baxter algebras
Xing Gao, Li Guo, Tianjie Zhang
Statistical analysis of motion contrast in optical coherence tomography angiography
Yuxuan Cheng, Li Guo, Cong Pan +4
Rota-Baxter type operators, rewriting systems and Gröbner-Shirshov bases
Xing Gao, Li Guo, William Y. Sit +1
On Integro-Differential Algebras
Li Guo, Georg Regensburger, Markus Rosenkranz
Accuracy of the semiclassical picture of photoionization in intense laser fields
Li Guo, Shilin Hu, Mingqing Liu +7
Weak composition quasi-symmetric functions, Rota-Baxter algebras and Hopf algebras
Li Guo, Jean-Yves Thibon, Houyi Yu
3-Lie bialgebras and 3-Lie classical Yang-Baxter equations in low dimensions
Chengyu Du, Chengming Bai, Li Guo
Frame-level quality and memory traffic allocation for lossy embedded compression in video codec systems
Li Guo, Dajiang Zhou, Shinji Kimura +1
Renormalised conical zeta values
Li Guo, Sylvie Paycha, Bin Zhang
On Rings of Differential Rota-Baxter Operators
Xing Gao, Li Guo, Markus Rosenkranz
The category and operad of matching dialgebras
Yong Zhang, Chengming Bai, Li Guo
Hopf algebras of rooted forests, cocyles and free Rota-Baxter algebras
Xing Gao, Li Guo, Tianjie Zhang
Conical zeta values and their double subdivision relations
Li Guo, Sylvie Paycha, Bin Zhang
Algebraic Birkhoff decomposition and its applications
Li Guo
Commutative modified Rota-Baxter algebras, shuffle products and Hopf algebras
Xigou Zhang, Xing Gao, Li Guo
Structure theorems of mixable shuffle algebras and free commutative Rota-Baxter algebras
Li Guo, Bingyong Xie
Microwave Diagnostics of Ultracold Neutral Plasma
Ronghua Lu, Li Guo, Shensheng han
Properties of Free Baxter Algebras
Li Guo
Rota-Baxter Algebras and Dendriform Algebras
Kurusch Ebrahimi-Fard, Li Guo
Weighted sum formula for multiple zeta values
Li Guo, Bingyong Xie
Generalizations of the classical Yang-Baxter equation and O-operators
Chengming Bai, Xiang Ni, Li Guo
Construction of free commutative integro-differential algebras by the method of Gröbner-Shirshov bases
Xing Gao, Li Guo, Shanghua Zheng
Differential Birkhoff decomposition and the renormalization of multiple zeta values
Li Guo, Bin Zhang
Operated semigroups, Motzkin paths and rooted trees
Li Guo
The shuffle relation of fractions from multiple zeta values
Li Guo, Bingyong Xie
Ascending Chain Conditions in Free Baxter Algebras
Li Guo
Localization of Rota-Baxter algebras
Chenghao Chu, Li Guo
Inter-Patient ECG Classification with Convolutional and Recurrent Neural Networks
Li Guo, Gavin Sim, Bogdan Matuszewski
Free integro-differential algebras and Gröbner-Shirshov bases
Xing Gao, Li Guo, Markus Rosenkranz
Coherent Unit Actions on Operads and Hopf Algebras
Kurusch Ebrahimi-Fard, Li Guo
On Differential Rota-Baxter Algebras
Li Guo, William Keigher
Multiple zeta values and Rota--Baxter algebras
Kurusch Ebrahimi-Fard, Li Guo
Rota-Baxter operators on generalized power series rings
Li Guo, Zhongkui Liu
Improving Knowledge Graph Embedding Using Simple Constraints
Boyang Ding, Quan Wang, Bin Wang +1
Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
Rota-Baxter operators on the polynomial algebras, integration and averaging operators
Li Guo, Markus Rosenkranz, Shanghua Zheng
On Free Baxter Algebras: Completions and the Internal Construction
Li Guo, William Keigher
An algebraic formulation of the locality principle in renormalisation
Pierre Clavier, Li Guo, Sylvie Paycha +1
Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
Xiang Ni, Chengming Bai, Li Guo
Baxter Algebras, Stirling Numbers and Partitions
Li Guo
Splitting of operations, Manin products and Rota-Baxter operators
Chengming Bai, Olivia Bellier, Li Guo +1
Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras
Yong Zhang, Chengming Bai, Li Guo
Differential Type Operators and Gröbner-Shirshov Bases
Li Guo, William Y. Sit, Ronghua Zhang
Universal enveloping algebras and Poincaré-Birkhoff-Witt theorem for involutive Hom-Lie algebras
Li Guo, Bin Zhang, Shanghua Zheng
Explicit double shuffle relations and a generalization of Euler's decomposition formula
Li Guo, Bingyong Xie
Modeling Text with Graph Convolutional Network for Cross-Modal Information Retrieval
Jing Yu, Yuhang Lu, Zengchang Qin +4
Knowledge Graph Embedding with Iterative Guidance from Soft Rules
Shu Guo, Quan Wang, Lihong Wang +2
Algebraic Birkhoff Factorization and the Euler-Maclaurin Formula on Cones
Li Guo, Sylvie Paycha, Bin Zhang
Baxter Algebras and Hopf Algebras
George E. Andrews, Li Guo, William Keigher +1
Free modified Rota-Baxter algebras and Hopf algebras
Xigou Zhang, Xing Gao, Li Guo
Generating functions from the viewpoint of Rota-Baxter algebras
Nancy Shanshan Gu, Li Guo
Rota-Baxter modules toward derived functors
Xing Gao, Li Guo, Li Qiao
Applications of shuffle product to restricted decomposition formulas for multiple zeta values
Li Guo, Peng Lei, Biao Ma
Families of weighted sum formulas for multiple zeta values
Li Guo, Peng Lei, Jianqiang Zhao
Polylogarithms and multiple zeta values from free Rota-Baxter algebras
Li Guo, Bin Zhang
Constructions of free commutative integro-differential algebras
Xing Gao, Li Guo
On Products and Duality of Binary, Quadratic, Regular Operads
Kurusch Ebrahimi-Fard, Li Guo
Revealing two radio active galactic nuclei extremely near PSR J0437$-$4715
Zhixuan Li, Jun Yang, Tao An +9
Drazin inverses of the sum of four matrices and its applications
Daochang Zhang, Dijana Mosi\' c, Li Guo
Counting an infinite number of points: a testing ground for renormalization methods
Li Guo, Sylvie Paycha, Bin Zhang
Averaging algebras, Schröder numbers, rooted trees and operads
Li Guo, Jun Pei
Rota-Baxter 3-Lie algebras
Ruipu Bai, Li Guo, Jianqian Li +1
Splitting of operads and Rota-Baxter operators on operads
Jun Pei, Chengming Bai, Li Guo
Double shuffle relations and renormalization of multiple zeta values
Li Guo, Sylvie Paycha, Bingyong Xie +1
Explicit exponential maps for Hecke characters at ordinary primes
Li Guo