105 citations · 137 across the 6 of their papers we have counts for
6 papers
-Super Catalan Numbers: Combinatorial identities, Generating Functions, and Narayana Refinements
Arthur Rodelet--Causse, Lenny Tevlin
We begin by deriving a number of combinatorial identities satisfied by the -super Catalan numbers. In particular, we extend some of the known combinatorial identities (Touchard,…
Tilt-to-length coupling in LISA Pathfinder: a data analysis
M Armano, H Audley, J Baird +76
We present a study of the tilt-to-length coupling noise during the LISA Pathfinder mission and how it depended on the system's alignment. Tilt-to-length coupling noise is the unwan…
On some noncommutative symmetric functions analogous to Hall-Littlewood and Macdonald polynomials
Jean-Christophe Novelli, Lenny Tevlin, Jean-Yves Thibon
We investigate the connections between various noncommutative analogues of Hall-Littlewood and Macdonald polynomials, and define some new families of noncommutative symmetric funct…
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi…
Noncommutative Analogs of Monomial Symmetric Functions, Cauchy Identity, and Hall Scalar Product
Lenny Tevlin
This paper introduces noncommutative analogs of monomial symmetric functions and fundamental noncommutative symmetric functions. The expansion of ribbon Schur functions in both of…
Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers
Florent Hivert, Jean-Christophe Novelli, Lenny Tevlin +1
We prove conjectures of the third author [L. Tevlin, Proc. FPSAC'07, Tianjin] on two new bases of noncommutative symmetric functions: the transition matrices from the ribbon basis…