SECTION T-34 POSITIVE BASES FOR GROWTH

2013 ◽  
pp. 319-319
Keyword(s):  
Positive Bases

scholarly journals On Hopf Algebras with Positive Bases

2001 ◽  
Vol 237 (2) ◽  
pp. 421-445 ◽  
Author(s):  
Jiang-Hua Lu ◽  
Min Yan ◽  
Yongchang Zhu
Keyword(s):  
Hopf Algebras ◽  
Positive Bases

scholarly journals Lower and Upper Bounds for Positive Bases of Skein Algebras

2020 ◽  
Author(s):  
Thang T Q Lê ◽  
Dylan P Thurston ◽  
Tao Yu
Keyword(s):  
Chebyshev Polynomials ◽  
Upper Bounds ◽  
Lower And Upper Bounds ◽  
Positive Basis ◽  
Positive Bases ◽  
Skein Algebras

Abstract We show that if a sequence of normalized polynomials gives rise to a positive basis of the skein algebra of a surface, then it is sandwiched between the two types of Chebyshev polynomials. For the closed torus, we show that the normalized sequence of Chebyshev polynomials of type one $(\hat{T}_n)$ is the only one that gives a positive basis.

scholarly journals Positive bases with maximal cosine measure

2018 ◽  
Vol 13 (6) ◽  
pp. 1381-1388 ◽  
Author(s):  
Geir Nævdal
Keyword(s):  
Cosine Measure ◽  
Positive Bases

scholarly journals Totally positive bases and progressive iteration approximation

2005 ◽  
Vol 50 (3-4) ◽  
pp. 575-586 ◽  
Author(s):  
Hong-Wei Lin ◽  
Hu-Jun Bao ◽  
Guo-Jin Wang
Keyword(s):  
Totally Positive ◽  
Positive Bases

scholarly journals Regular positive bases

1987 ◽  
Vol 19 (3-4) ◽  
pp. 449-464
Author(s):  
Dorota Jacak
Keyword(s):  
Positive Bases

Universal Expansions in Negative and Complex Bases

Integers ◽  
2010 ◽  
Vol 10 (6) ◽  
Author(s):  
Vilmos Komornik ◽  
Paola Loreti
Keyword(s):  
Acta Math ◽  
Positive Bases

AbstractExpansions in noninteger positive bases have been intensively investigated since the pioneering works of Rényi (Acta Math. Hungar. 8: 477–493, 1957) and Parry (Acta Math. Hungar. 11: 401–416, 1960). The discovery of surprising unique expansions in certain noninteger bases by Erdős, Horváth and Joó (Acta Math. Hungar. 58: 333–342, 1991) was followed by many studies aiming to clarify the topological and combinatorial nature of the sets of these bases. In the present work we extend some of these studies to more general, negative or complex bases.

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