17 citations · 29 across the 8 of their papers we have counts for
10 papers
Spectral comparison on Specht modules and mixing of the interchange process
Gil Alon
We characterize the cases in which the minimal eigenvalues of interchange-process Laplacians on two Specht modules can be compared up to a positive multiplicative constant, indepen…
Galois groups over rational function fields over skew fields
Gil Alon, François Legrand, Elad Paran
Let be a skew field of finite dimension over its center . We solve the Inverse Galois Problem over the field of fractions of the ring of polynomial functions over …
A Quaternionic Nullstellensatz
Gil Alon, Elad Paran
We prove a Nullstellensatz for the ring of polynomial functions in n non-commuting variables over Hamilton's ring of real quaternions. We also characterize the generalized polynomi…
Comparing with octopi
Gil Alon, Gady Kozma
Operator inequalities with a geometric flavour have been successful in studying mixing of random walks and quantum mechanics. We suggest a new way to extract such inequalities usin…
The mean-field quantum Heisenberg ferromagnet via representation theory
Gil Alon, Gady Kozma
We use representation theory to write a formula for the magnetisation of the quantum Heisenberg ferromagnet. The core new result is a spectral decomposition of the function $α_k 2^…
Automorphisms of Products of Drinfeld Half Planes
Gil Alon
The Drinfeld upper half-planes play the role of symmetric spaces in the -adic analytic world. We find the automorphism group of a product of such spaces, where each may be defin…
Eigenvalues of the Adin-Roichman Matrices
Gil Alon
We find the spectrum of the Walsh-Hadamard type matrices defined by R.Adin and Y.Roichman in their recent work on character formulas and descent sets for the symmetric group.
Semicharacters of Groups
Gil Alon
We define the notion of a semicharacter of a group G : A function from the group to C*, whose restriction to any abelian subgroup is a homomorphism. We conjecture that for any fini…
The probability of long cycles in interchange processes
Gil Alon, Gady Kozma
We examine the number of cycles of length k in a permutation, as a function on the symmetric group. We write it explicitly as a combination of characters of irreducible representat…
Ordering the representations of S_n using the interchange process
Gil Alon, Gady Kozma
Inspired by Aldous' conjecture for the spectral gap of the interchange process and its recent resolution by Caputo, Liggett and Richthammer, we define an associated order on the ir…