Preprints  2003   (Return Main List of Preprints)



Preprint #2003-001      

Title:   Multiple solutions of compact $H$-surfaces in Euclidean space

Author(s): Yuxin Ge and Feng Zhou

DVI (62K)   PS (331K)   PDF (178K)                     (Date: June 10, 2003)

Paper Info: To appear in  Topological Methods in Nonlear Analysis, 2003


Preprint #2003-002      

Title:   The Christoffel-Minkowski problem II: Weingarten curvature equations

Author(s): Pengfei Guan, Changshou Lin, Xi-Nan Ma

DVI (91K)    PS (500K)    PDF (238K)                   (Date: June 11, 2003)


Preprint #2003-003      

Title:   Sharp Upper Bounds on the Spectral Radius of Graphs

Author(s): Shu Jinlong, Wu Yarong

DVI (43K)   PS (279K)   PDF (134K)                       (Date: June 11, 2003)


Preprint #2003-004      

Title:   The Spread of the Unicyclic Graphs

Author(s): Shu Jinlong, Wu Yarong

DVI (213K)   PS (442K)   PDF (220K)                     (Date: June 11, 2003)


Preprint #2003-005      

Title:   BIFURCATIONS OF ROUGH HETEROCLINIC  LOOP  WITH  TWO SADDLE POINTS

Author(s): JIN  Yinlai,  ZHU  Deming

DVI (64K)   PS (338K)   PDF (141K)                      (Date: June 11, 2003)


Preprint #2003-006      

Title:   Oscillation for  Advanced  Differential Equations with Oscillating Coefficients

Author(s): Xianyi Li, Deming Zhu

DVI (30K)   PS (236K)   PDF (117K)                     (Date: June 11, 2003)


Preprint #2003-007     

Title:   On the local existence of one Calabi-type flow

Author(s): ZHENG Yu

DVI (45K)   PS (233K)   PDF (180K)                     (Date: June 13, 2003)


Preprint #2003-008     

Title:   On the semisimplicity  of the cyclotomic Brauer algebras

Author(s): Hebin Rui,  Weihua Yu

DVI (263K)   PS (881K)   PDF (374K)                     (Date: June 16, 2003. Revised: Feb. 8, 2004)

Paper Info: To appear in  J. Algebra


Preprint #2003-009   

Title:   The representation theory of cyclotomic Temperley-Lieb algebras

Author(s): Hebin Rui ,  Changchang Xi

DVI (117K)   PS (0K)   PDF (262K)                     (Date: June 16, 2003)

Paper Info: To appear in  Comment. Math. Helv.


Preprint #2003-010      

Title:   The determination of integral closures and geometric applications

Author(s):  Sheng-Li Tan, De-Qi Zhang

DVI (0K)   PS (0K)   PDF (306K)                     (Date: June 16, 2003)

Paper Info: Advances in Mathematics, 185 (2004), 215--245

 


Preprint #2003-011     

Title:   Derivation algebras and 2-cocycles of the algebras of $q$-differential operators

Author(s):  Dong Liu, Naihong Hu

DVI (114K)   PS (709K)   PDF (281K)          (Date: June 16, 2003)


Preprint #2003-012

Title:   Leibniz central extensions on some infinite dimensional Lie algebras

Author(s):  Dong Liu, Naihong Hu

DVI (73K)   PS (472K)   PDF (208K)                     (Date: June 16, 2003) 


Preprint #2003-013

Title:   Cyclotomic $q$-Schur algebras and Schur-Weyl duality

Author(s):  Zongzhu Lin, Hebin Rui

DVI (122K)   PS (0K)   PDF (302K)                     (Date: June 23, 2003)


Preprint #2003-014      

Title:   Convex solutions of elliptic differential equations in classical differential geometry

Author(s): Pengfei Guan,  Xi-Nan Ma

DVI (44K)    PS (344K)    PDF (203K)                   (Date: June 25, 2003, revised: Oct. 10, 2003)

Paper Info: To appear in Contemp. Math. of Amer. Math. Soc.


Preprint #2003-015

Title:    Minimum spans of no-hole $2$-distant colourings of Hamming graphs

Author(s):  Gerard J. Chang,   Changhong Lu,   Sanming Zhou

DVI (38K)   PS (267)   PDF (157K)                       (Date: June 26, 2003; Revised: Oct. 12, 2003)


Preprint #2003-016

Title:    On An Evolution Problem For Convex Curves

Author(s):  Lishang Jiang,   Shengliang Pan

DVI (152K)   PS (468K)   PDF (219K)                     (Date: July 8, 2003)


Preprint #2003-017

Title:    The Cartan Invariants of  $W(1,n)$

Author(s):  Bin Shu,  Zhihong Jiang

DVI (78K)   PS (506K)   PDF (240K)                       (Date: July 25, 2003)

 


Preprint #2003-018

Title:    Commutant Algebras in Representations of Lie Algebras of Vector Fields

Author(s):  Bin Shu

DVI (46K)   PS (385K)   PDF (184K)                     (Date: July 25, 2003)


Preprint #2003-019

Title:   Bosonic Representations of the Lie algebra $\Cal W_{1+\infty}$ and $\Cal W_{1+\infty}(gl_N)$

Author(s):  Dong Liu, Naihong Hu

DVI (41K)   PS (472K)   PDF (193K)                     (Date: Aug. 6, 2003)


Preprint #2003-020

Title:   Quasi $L_n$-filiform Lie algebras

Author(s):  Bin Ren, Naihong Hu

DVI (79K)   PS (423K)   PDF (172K)                     (Date: Aug. 17, 2003)


Preprint #2003-021

Title:  On some matrix inequalities 

Author(s):  Xingzhi Zhan

DVI (16K)   PS (161K)   PDF (84K)                     (Date: Aug. 28, 2003)

Paper Info: To appear in Linear Algebra Appl.   


Preprint #2003-022

Title:  Submultiplicativity vs subadditivity for unitarily invariant norms

Author(s):  Fumio Hiai,  Xingzhi Zhan

DVI (37K)   PS (316K)   PDF (153K)                     (Date: Aug. 28, 2003)

Paper Info: To appear in Linear Algebra Appl.    


Preprint #2003-023

Title:   ON THE SEMI-SIMPLICITY  OF CYCLOTOMIC TEMPERLEY--LIEB ALGEBRAS

Author(s):  Hebing Rui, Changchang Xi and Weihua Yu

DVI (0K)   PS (510K)   PDF (K)                     (Date: Aug. 28, 2003)

Paper Info: To appear in Michigan Math. Journal


Preprint #2003-024

Title:  Uniform proofs of $q$-series-product identities

Author(s):  Sarachai Kongsiriwong, Zhi-Guo Liu

DVI (127K)   PS (530K)   PDF (220K)                     (Date: Aug. 29, 2003)

Paper Info: To appear in Resultate der Mathematik


Preprint #2003-025

Title:  Domb's numbers and Ramanujan-Sato type series for $1/\pi$

Author(s):  Heng Huat Chan, Song Heng Chan and Zhi-Guo Liu

DVI (52K)   PS (362K)   PDF (179K)                     (Date: Aug. 29, 2003)

Paper Info: To appear in Advances in Mathematics


Preprint #2003-026

Title:  An Identity of Ramanujan and the Representation of  Integers as Sums of Triangular Numbers

Author(s):  Zhi-Guo Liu

DVI (114K)   PS (564K)   PDF (235K)                     (Date: Aug. 29, 2003)

Paper Info: To appear in The Ramanujan Journal 


 

Preprint #2003-027

Title:  Invariant criteria for existence of bounded positive solutions

Author(s):  Dong Ye and Feng Zhou

DVI (56K)   PS (319K)   PDF (180K)                     (Date: Oct. 5, 2003)


 

Preprint #2003-028

Title:  On the Christoffel-Minkowski problem of Firey's P-sum

Author(s):  Changqing Hu, Xi-Nan Ma and Chunli Shen

DVI (81K)   PS (416K)   PDF (225K)                     (Date: Oct. 10, 2003)

Paper Info: To appear in Cal. Var. and PDE


 

Preprint #2003-029

Title:  The Christoffel-Minkowski problem III, existence problem  for curvature measures

Author(s):  Pengfei Guan, Changshou Lin and Xi-Nan Ma

DVI (70K)   PS (397K)   PDF (219K)                     (Date: Oct. 10, 2003)


 

Preprint #2003-030      

Title:   Effective behavior of multiple linear systems

Author(s):  Sheng-Li Tan

DVI (0K)   PS (431K)   PDF (0K)                   (Date: Nov. 13, 2003)

Paper Info: Asian Journal of Math., 8 (2004) No.2, 287--304

 


  

 Preprint #2003-031      

Title:   Generating  Cycle Spaces for Graphs on Surfaces with Small Genera

Author(s):  Han Ren, Yanpei Liu, D. J. Ma and J. J. Liu

DVI (0K)   PS (0K)   PDF (1M)                   (Date: Dec. 21, 2003)


 

Preprint #2003-032      

Title:   Odd Components of Co-Trees and Graph Embeddings

Author(s):  Han Ren, Yanpei Liu, Dengju Ma and Junjie Liu

DVI (19K)   PS (214K)   PDF (124K)                   (Date: Dec. 23, 2003) 



Preprints  2003   (Return Main List of Preprints)