7 citations · 10 across the 7 of their papers we have counts for
7 papers
Generalized torsion in amalgams
Tommy Wuxing Cai, Adam Clay
We give a condition sufficient to ensure that an amalgam of groups is generalized torsion-free. As applications, we construct a closed 3-manifold whose fundamental group is general…
Ordered bases, order-preserving automorphisms and bi-orderable link groups
Tommy Wuxing Cai, Adam Clay, Dale Rolfsen
We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group…
On the Exact Fourier Dimension of Sets of Well-Approximable Matrices
Thomas Cai, Kyle Hambrook
We compute the exact Fourier dimension of the set of -well-approximable matrices (and the set of -well-approximable numbers) in the homogeneous and inhomogeneous…
Correlation functions of charged free boson and fermion systems
Naihuan Jing, Zhijun Li, Tommy Wuxing Cai
Using the idea of the quantum inverse scattering method, we introduce the operators and corresponding…
The Smith Normal Form of a Matrix Associated with Young's Lattice
Tommy Wuxing Cai, Richard P. Stanley
We prove a conjecture of Miller and Reiner on the Smith normal form of the operator associated with a differential poset for the special case of Young's lattice. Equivalently,…
Modular Macdonald functions and Generalized Newton's identity
Tommy Wuxing Cai, Naihuan Jing, Jian Zhang
Based on a generalized Newton's identity, we construct a family of symmetric functions which deform the modular Hall-Littlewood functions. We also give a determinant formula for th…
Jack vertex operators and realization of Jack functions
Wuxing Cai, Naihuan Jing
We give an iterative method to realize general Jack functions from Jack functions of rectangular shapes. We first show some cases of Stanley's conjecture on positivity of the Littl…