Personal Website of Lin JIU

JIU, Lin 酒 霖 Lin JIU

Assistant Professor of Mathematics                     @     Duke Kunshan University
Assistant Professor of the Practice                       @     Duke University
Adjunct of the Faculty of Graduate Studies           @     Dalhousie University



Research Interest

INTERSECTIONS of:

Symbolic Computation, Experimental Mathematics, Special Function, Combinatorics, Number Theory, Probability Theory, Information Geometry

Discrete Math Seminar

Research Statement

PDF Version

Publications

♥   Hankel determinants of certain sequences of Bernoulli polynomials: A direct proof of an inverse matrix entry from Statistics
    Lin Jiu and Ye Li
    To Appear in Contributions to Discrete Mathematics
 
♥   Information geometry and alpha-parallel prior of the beta-logistic distribution [url]
    Lin Jiu and Linyu Peng
    To Appear in Communications in Statistics. Theory and Methods
 
♥   Multi-headed lattices and Green functions [url]
    Qipin Chen, Shane Chern, and Lin Jiu
    Journal of Physics A: Mathematical and Theoretical, 57(46), Article 465204, 2024.
 
♥   Hankel determinants and Jacobi continued fractions for q-Euler numbers [url]
    Shane Chern and Lin Jiu
    Comptes Rendus Mathématique 362, pp. 203--216, 2024.
 
♥   Hankel Determinants of shifted sequences of Bernoulli and Euler numbers [url]
    Karl Dilcher and Lin Jiu
    Contributions to Discrete Mathematics, 18(2), pp. 146--175, 2023.
 
♥   Compatibility of the method of brackets with classical integration rules [url]
    Zachary Bradshaw, Ivan Gonzalez, Lin Jiu, Victor Hugo Moll, and Christophe Vignat
    Open Mathematics 21(1), Article number: 20220581, 2023.
 
♥   Moments and cumulants on identities for Bernoulli and Euler numbers [url]
    Lin Jiu and Diane Yahui Shi
    Mathematical Reports 24(4), pp. 643–650, 2022.
 
♥   Loop Decompositions of Random Walks and Nontrivial Identities of Bernoulli and Euler Polynomials [url]
    Lin Jiu, Italo Simonelli, and Heng Yue
    INTEGERS 22, Article 91, 2022.
 
♥   Hankel Determinants of sequences related to Bernoulli and Euler Polynomials [url]
    Karl Dilcher and Lin Jiu
    International Journal of Number Theory, 18(2) pp. 331--359, 2022.
 
♥   Orthogonal Polynomials and Hankel Determinants for Certain Bernoulli and Euler Polynomials [url]
    Karl Dilcher and Lin Jiu
    Journal of Mathematical Analysis and Applications, 497(1), Article 124855, 2021.
 
♥   An extension of the method of brackets. Part 2. [url]
    Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor Hugo Moll
    Open Mathematics, 18(1), pp. 983--995, 2020.
 
♥   Calculation and properties of zonal polynomials [url]
    Lin Jiu and Christoph Koutschan
    Mathematics in Computer Science, 14, pp. 623--640, 2020.
 
♥   Computation of the Expected Euler Characteristic for the Largest Eigenvalue of a Real non-central Wishart Matrix [url]
    Nobuki Takayama, Lin Jiu, Satoshi Kuriki, and Yi Zhang
    Journal of Multivariate Analysis, 179 Article 104642, 2020.
 
♥   Analytic continuation for multiple zeta values using symbolic representations [url]
    Lin Jiu, Christophe Vignat, and Tanay Wakhare
    International Journal of Number Theory, 16(3), pp. 579--602, 2020.
 
♥   Connection coefficients for higher-order Bernoulli and Euler polynomials: a random walk approach [url]
    Lin Jiu and Christophe Vignat
    Fibonacci Quarterly, 57(5), pp. 84--95, 2019.
 
♥   Matrix representation for multiplicative nested sums [url]
    Lin Jiu and Diane Yahui Shi
    Colloquium Mathematicum, 158(2), pp. 183--194, 2019.
 
♥   Orthogonal polynomials and connection to generalized Motzkin numbers for higher-order Euler polynomials [url]
    Lin Jiu and Diane Yahui Shi
    Journal of Number Theory, 199, pp. 389--402, 2019.
 
♥   The method of brackets in experimental mathematics [url]
    Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor Hugo Moll
    Frontiers of Orthogonal Polynomials and q-Series, edited by Zuhair Nashed and Xin Li, Chapter 16, pp. 307--318, World Scientific Publishers, 2018.
 
♥   A symbolic approach to multiple zeta values at the negative integers [url]
    Lin Jiu, Victor Hugo Moll and Christophe Vignat
    Journal of Symbolic Computation, 84, pp. 1--13, 2018.
 
♥   An extension of the method of brackets. Part 1. [url]
    Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor Hugo Moll
    Open Mathematics, 15(1) pp. 1181--1211, 2017.
 
♥   Integral representations of equally positive integer-indexed harmonic sums at infinity [url]
    Lin Jiu
    Research in Number Theory, 3:10, 2017.
 
♥   Optimal control on special Euclidean group via natural gradient descent algorithm [url]
    Chunhui Li, Erchuan Zhang, Lin Jiu and Huafei Sun
    Science China Information Sciences, 59(11) Article 112203, 2016.
 
♥   Pochhammer symbol with negative indices. A new rule for the method of brackets [url]
    Ivan Gonzalez, Lin Jiu and Victor Hugo Moll
    Open Mathematics (Formerly Central European Journal of Mathematics) 14(1), pp. 681--686, 2016.
 
♥   The integrals in Gradshteyn and Ryzhik. Part 30: trigonometric functions [url]
    Tewodros Amdeberhan, Atul Dixit, Xiao Guan, Lin Jiu, Alexey Kuznetsov, Victor Hugo Moll, and Christophe Vignat
    Scientia Series A: Mathematical Sciences 27, pp. 47--74, 2016.
 
♥   A series involving Catalan numbers. Proofs and demonstrations. [url]
    Tewodros Amdeberhan, Atul Dixit, Xiao Guan, Lin Jiu, Victor Hugo Moll, and Christophe Vignat
    Elemente der Mathematik 71(3), pp. 109--121, 2016.
 
♥   On binomial identities in arbitrary bases [url]
    Lin Jiu and Christophe Vignat
    Journal of Integer Sequences 19(5) Article 16.5.5, 2016.
 
♥   A symbolic approach to some identities for Bernoulli-Barnes polynomials [url]
    Lin Jiu, Victor Hugo Moll and Christophe Vignat
    International Journal of Number Theory 12(3), pp. 649--662, 2016.
 
♥   The finite Fourier transform of classical polynomials [url]
    Atul Dixit, Lin Jiu, Victor Hugo Moll and Christophe Vignat
    Journal of the Australian Mathematical Society 98(2), pp. 145--160, 2015.
 
♥   The unimodality of a polynomial coming from a rational integral. Back to the original proof [url]
    Tewodros Amdeberhan, Atul Dixit, Xiao Guan, Lin Jiu, and Victor Hugo Moll
    Journal of Mathematical Analysis and Applications 420(2), pp. 1154--1166, 2014.
 
♥   Recursion rules for the hypergeometric zeta functions [url]
    Alyssa Byrnes, Lin Jiu, Victor Hugo Moll, and Christophe Vignat
    International Journal of Number Theory 10(7), pp. 1761--1782, 2014.
 
♥   Identities for generalized Euler polynomials [url]
    Lin Jiu, Victor Hugo Moll, and Christophe Vignat
    Integral Transforms and Special Functions 25(10), pp. 777--789, 2014.
 
♥   A natural gradient algorithm for stochastic distribution systems [url]
    Zhenning Zhang, Huafei Sun Lin Jiu, and Linyu Peng
    Entropy 16(8), pp. 4338--4352, 2014.
 
♥   The arc length variational formula on the exponential manifold [url]
    Fengyun Zhang, Huafei Sun Lin Jiu, and Linyu Peng
    Mathematica Slovaca 63(5), pp. 1101--1112, 2013.
 
♥   The geometric structure of the Pareto distribution [url]
    Linyu Peng, Huafei Sun and Lin Jiu
    Boletín de la Asociación Matemática Venezolana 14(1), pp. 5--13, 2007.
 
♥   On minimal homothetical hypersurfaces [url]
    Lin Jiu and Huafei Sun
    Colloquium Mathematicum 109(2), pp. 239--249, 2007.
 
♥   Characterizing hypersurfaces of generalized rotation through its normal lines [url]
    Xiaojie Wang and Lin Jiu
    Journal Of Ningde Normal University (Natural Science) 02, pp. 117--119, 2006.