4 papers
Gaussian limits of lattice Higgs models with complete symmetry breaking
Frederick Rajasekaran, Oren Yakir, Yanxin Zhou
Given any compact connected matrix Lie group and any lattice dimension , we construct a massive Gaussian scaling limit for the -valued lattice Yang-Mills-Higgs theor…
Fluctuations of Eigenvalues for Generalized Patterned Gaussian Random Matrices
Frederick Rajasekaran
In this work, we study a class of random matrices which interpolate between the Wigner matrix model and various types of patterned random matrices such as random Toeplitz, Hankel,…
Numerical Evidence of Exponential Mixing by Alternating Shear Flows
Li-Tien Cheng, Frederick Rajasekaran, Kin Yau James Wong +1
We performed a numerical study of the efficiency of mixing by alternating horizontal and vertical shear ``wedge'' flows on the two-dimensional torus. Our results suggest that excep…
Set Partition Patterns and the Dimension Index
Thomas Grubb, Frederick Rajasekaran
The notion of containment and avoidance provides a natural partial ordering on set partitions. Work of Sagan and of Goyt has led to enumerative results in avoidance classes of set…