Browsing Department of Mathematics and Statistics Faculty Publications by Title
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Hall conditions for edgeweighted bipartite graphs
(20100728)A weighted variant of Hall's condition for the existence of matchings is shown to be equivalent to the existence of a matching in a lexicographic product. This is used to introduce characterizations of those bipartite ... 
HighQ Spectral Peaks and Nonstationarity in the Deep Ocean Infragravity Wave Band: Tidal Harmonics and Solar Normal Modes
(Wiley, 20190220)Infragravity waves have received the least study of any class of waves in the deep ocean. This paper analyzes a 389daylong deep ocean pressure record from the Hawaii Ocean Mixing Experiment for the presence of narrowband ... 
Nonparametric Testing Methods for TreatmentBiomarker Interaction based on Local PartialLikelihood
(Wiley, 20150617)In clinical trials, patients with different biomarker features may respond differently to the new treatments or drugs. In personalized medicine, it is important to study the interaction between treatment and biomarkers in ... 
On the Equivalence Between Maximum Likelihood and Minimum Distance Decoding for Binary Contagion and QueueBased Channels with Memory
(20160217)We study the optimal maximum likelihood (ML) block decoding of general binary codes sent over two classes of binary additive noise channels with memory. Specifically, we consider the infinite and finite memory Polya contagion ... 
Prime divisors of sparse values of cyclotomic polynomials and Wieferich primes
(20190320)Bang (1886), Zsigmondy (1892) and Birkhoff and Vandiver (1904) initiated the study of the largest prime divisors of sequences of the form an−bn, denoted P(an−bn), by essentially proving that for integers a>b>0, P(an−bn)≥n+1 ... 
Why is sterility virulence most common in sexually transmitted infections? Examining the role of epidemiology
(20190312)Sterility virulence, or the reduction in host fecundity due to infection, occurs in many host–pathogen systems. Notably, sterility virulence is more common for sexually transmitted infections (STIs) than for directly ...