• DOI:10.1145/1145768.1145793
Corpus ID: 9808800

Enumeration of Rota-Baxter words

@inproceedings{Guo2006EnumerationOR,
  title={Enumeration of Rota-Baxter words},
  author={Li Guo and William Y. Sit},
  booktitle={ISSAC '06},
  year={2006}
}

Li Guo, William Y. Sit

Published in ISSAC '06 2006

Mathematics, Computer Science

We describe results on enumerations of sets of Rota-Baxter words in a finite number of generators and a finite number of unary operators. Rota-Baxter words are words formed by concatenating generators and images of words under Rota-Baxter operators. Under suitable conditions, they form canonical bases of free Rota-Baxter algebras and are studied recently in relation to combinatorics, number theory, renormalization in quantum field theory, and operads. Enumeration of a basis is often a first… CONTINUE READING

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