111 citations · 554 across the 35 of their papers we have counts for
40 papers
The first 128 digits of an autoconvolution inequality
Andrew Rechnitzer
Using rigorous high-precision floating point arithmetic we compute very tight rigorous bounds on the auto-convolution constant \[ ν_2^2 = \inf_f \|f \ast f\|_2^2 = \inf_f \int_{-1}…
New Upper Bounds for Stick Numbers
Jason Cantarella, Andrew Rechnitzer, Henrik Schumacher +1
We use a version of simulated annealing with knot-type preserving moves to find polygonal representatives of various knot types with low stick number. These give better bounds on s…
Exact solution of asymmetric gelation between three walks on the square lattice
Aleksander L Owczarek, Andrew Rechnitzer
We find and analyse the exact solution of a model of three different polymers with asymmetric contact interactions in two dimensions, modelling a scenario where there are different…
Counting Zeros of Dirichlet -Functions
Michael A. Bennett, Greg Martin, Kevin O'Bryant +1
We give explicit upper and lower bounds for , the number of zeros of a Dirichlet -function with character and height at most . Suppose that has conductor $q>1…
Exact solution of some quarter plane walks with interacting boundaries
Nicholas R Beaton, Aleksander L Owczarek, Andrew Rechnitzer
The set of random walks with different step sets (of short steps) in the quarter plane has provided a rich set of models that have profoundly different integrability properties. In…
A Markov Chain Sampler for Plane Curves
Harrison Chapman, Andrew Rechnitzer
A plane curve is a knot diagram in which each crossing is replaced by a 4-valent vertex, and so are dual to a subset of planar quadrangulations. The aim of this paper is to introdu…