Chatterjee, Saikat; Koslicki, David; Dong, Siyuan; et al.(Oxford University Press, 2014-09-01)
MOTIVATION: Estimation of bacterial community composition from
a high-throughput sequenced sample is an important task in
metagenomics applications. Since the sample sequence data
typically harbors reads of variable l ...
Koslicki, David; Thompson, Daniel J.(Springer, 2015-01)
We give a new approach to coding sequence (CDS) density
estimation in genomic analysis based on the topological pressure, which
we develop from a well known concept in ergodic theory. Topological
pressure measures the ...
Garity, Dennis J.; Repovš, Dušan(Mathematical Sciences Publishers, 2014-07-15)
For every finitely generated abelian group G, we construct an irreducible
open 3-manifold M[subscript G] whose end set is homeomorphic to a Cantor set and
whose homogeneity group is isomorphic to G. The end homogeneity ...
We consider solutions to the two-dimensional incompressible Navier-Stokes and Euler equations for which velocity and vorticity are bounded in the plane. We show that for every T > 0, the Navier-Stokes velocity converges ...
A group defined by a finite presentation with cyclic symmetry admits a shift automorphism
that is periodic and word-length preserving. It is shown that if the presentation
is combinatorially aspherical and orientable, ...