3 papers
math.NT2026
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…
cond-mat.stat-mech2025
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…
math.GT2025
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…