Free cumulants, Schröder trees, and operads
نویسندگان
چکیده
منابع مشابه
Loopless Generation of Schröder Trees
The well-known Schröder numbers have appeared in different combinatorial contexts, including Schröder trees and well-weighted binary trees. The only loopless algorithm for generating Schröder trees actually generated representations for their well-weighted binary tree counterparts. This paper presents the first loopless algorithms for directly generating Schröder tree representations. They use ...
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Free cumulants were introduced as the proper analogue of classical cumulants in the theory of free probability. There is a mix of similarities and differences, when one considers the two families of cumulants. Whereas the combinatorics of classical cumulants is well expressed in terms of set partitions, that of free cumulants is described and often introduced in terms of non-crossing set partit...
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We study the coefficients in the expansion of Jack polynomials in terms of power sums. We express them as polynomials in the free cumulants of the transition measure of an anisotropic Young diagram. We conjecture that such polynomials have nonnegative integer coefficients. This extends recent results about normalized characters of the symmetric group. 2000 Mathematics Subject Classification: 05...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2017
ISSN: 0196-8858
DOI: 10.1016/j.aam.2017.02.002