collaborators

6 papers

math.CO2019

Riesz bases of exponentials and multi-tiling in finite abelian groups

Sam Ferguson, Azita Mayeli, Nat Sothanaphan

Motivated by the open problem of exhibiting a subset of Euclidean space which has no exponential Riesz basis, we focus on exponential Riesz bases in finite abelian groups. We point…

math.NT2019

Fuglede's conjecture fails in 4 dimensions over odd prime fields

Samuel Ferguson, Nat Sothanaphan

Fuglede's conjecture in , a prime, says that a subset tiles by translation if and only if is spectral, meaning any complex-valu…

math.MG2018

Double Bubbles on the Line with Log-convex Density with Bounded

Nat Sothanaphan

We extend results of Bongiovanni et al. on double bubbles on the line with log-convex density to the case where the derivative of the log of the density is bounded. We show that th…

cs.SI2018

Naive Bayesian Learning in Social Networks

Jerry Anunrojwong, Nat Sothanaphan

The DeGroot model of naive social learning assumes that agents only communicate scalar opinions. In practice, agents communicate not only their opinions, but their confidence in su…

math.RA2018

Determinants of Block Matrices with Noncommuting Blocks

Nat Sothanaphan

Let be an matrix over a commutative ring . Divide into blocks. Assume that the blocks commute pairwise. Consider the following two procedures:…

math.MG2018

1D Triple Bubble Problem with Log-Convex Density

Nat Sothanaphan

We prove that for a symmetric, strictly log-convex density on the real line, there are four possible types of perimeter-minimizing triple bubbles. This extends the work of Bongiova…