9 citations · 10 across the 8 of their papers we have counts for
9 papers
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, François Bergeron, Nantel Bergeron +15
Adriano Mario Garsia was born in Tunis on August 20, 1928, to a Tunisian-Italian family. He lived on a farm there until the end of World War II, then moved to Rome. After finishing…
A Proof the Functional Equation Conjecture
Adriano Garsia, Angela Hicks, Guoce Xin
In the early 2000's the first and second named authors worked for a period of six years in an attempt of proving the Compositional Shuffle Conjecture [1]. Their approach was based…
Probabilizing Parking Functions
Persi Diaconis, Angela Hicks
We explore the link between combinatorics and probability generated by the question "What does a random parking function look like?" This gives rise to novel probabilistic interpre…
Useful bounds on the extreme eigenvalues and vectors of matrices for Harper's operators
Daniel Bump, Persi Diaconis, Angela Hicks +2
In analyzing a simple random walk on the Heisenberg group we encounter the problem of bounding the extreme eigenvalues of an matrix of the form where is a c…
An Exercise (?) in Fourier Analysis on the Heisenberg Group
Daniel Bump, Persi Diaconis, Angela Hicks +2
Let H(n) be the group of 3x3 uni-uppertriangular matrices with entries in Z/nZ, the integers mod n. We show that the simple random walk converges to the uniform distribution in ord…
A simpler formula for the number of diagonal inversions of an (m,n)-Parking Function and a returning Fermionic formula
Angela Hicks, Emily Leven
Recent results have placed the classical shuffle conjecture of Haglund et al. in a broader context of an infinite family of conjectures about parking functions in any rectangular l…