7 citations · 11 across the 9 of their papers we have counts for
9 papers
Making ends meet or just meeting at the ends? Assessing end-to-end distance in folded RNA sequences and other branched structures
Torin Greenwood, Christine Heitsch
Researchers have repeatedly found that the ends of an RNA sequence are significantly closer than expected for a random linear chain. However, we prove that the ends of a branched s…
Asymptotics of Weighted Reflectable Walks in
Torin Greenwood, Samuel Simon
Lattice walks are used to model various physical phenomena. In particular, walks within Weyl chambers connect directly to representation theory via the Littelmann path model. We de…
Asymptotics of bivariate algebraico-logarithmic generating functions
Torin Greenwood, Tristan Larson
We derive asymptotic formulae for the coefficients of bivariate generating functions with algebraic and logarithmic factors. Logarithms appear when encoding cycles of combinatorial…
From discrete to continuous: Monochromatic 3-term arithmetic progressions
Torin Greenwood, Jonathan Kariv, Noah Williams
We prove a known 2-coloring of the integers minimizes the number of monochromatic arithmetic 3-progressions under certain restrictions. A monochromatic…
Asymptotics of coefficients of algebraic series via embedding into rational series (extended abstract)
Torin Greenwood, Stephen Melczer, Tiadora Ruza +1
We present a strategy for computing asymptotics of coefficients of -variate algebraic generating functions. Using known constructions, we embed the coefficient array into an arr…
Sublinear variance in Euclidean first-passage percolation
Megan Bernstein, Michael Damron, Torin Greenwood
The Euclidean first-passage percolation model of Howard and Newman is a rotationally invariant percolation model built on a Poisson point process. It is known that the passage time…
Deconvolving RNA Base Pairing Signals
Torin Greenwood, Christine E. Heitsch
A growing number of RNA sequences are now known to have distributions of multiple stable sequences. Recent algorithms use the list of nucleotides in a sequence and auxiliary experi…
Asymptotics of Bivariate Analytic Functions with Algebraic Singularities
Torin Greenwood
In this paper, we use the multivariate analytic techniques of Pemantle and Wilson to derive asymptotic formulae for the coefficients of a broad class of multivariate generating fun…
Quantum random walk on the integer lattice: examples and phenomena
Andrew Bressler, Torin Greenwood, Robin Pemantle +1
We apply results from Baryshnikov, Brady, Bressler and Pemantle (2008) to compute limiting probability profiles for various quantum random walks in one and two dimensions. Using an…