296 citations · 924 across the 15 of their papers we have counts for
15 papers
Structural analysis of high-dimensional basins of attraction
Stefano Martiniani, K. Julian Schrenk, Jacob D. Stevenson +2
We propose an efficient Monte Carlo method for the computation of the volumes of high-dimensional bodies with arbitrary shape. We start with a region of known volume within the int…
Turning intractable counting into sampling: computing the configurational entropy of three-dimensional jammed packings
Stefano Martiniani, K. Julian Schrenk, Jacob D. Stevenson +2
We report a numerical calculation of the total number of disordered jammed configurations of repulsive, three-dimensional spheres in a fixed volume . To make these calcu…
Numerical evaluation of the Gauss hypergeometric function: Implementation and application to Schramm-Loewner evolution
K. J. Schrenk, J. D. Stevenson
Numerical studies of fractal curves in the plane often focus on subtle geometrical properties such as their left passage probability. Schramm-Loewner evolution (SLE) is a mathemati…
Analysing kinetic transition networks for rare events
Jacob D. Stevenson, David J. Wales
The graph transformation approach is a recently proposed method for computing mean first passage times, rates, and committor probabilities for kinetic transition networks. Here we…
Superposition Enhanced Nested Sampling
Stefano Martiniani, Jacob D. Stevenson, David J. Wales +1
The theoretical analysis of many problems in physics, astronomy and applied mathematics requires an efficient numerical exploration of multimodal parameter spaces that exhibit brok…
Visualizing Basins of Attraction for Different Minimization Algorithms
Daniel Asenjo, Jacob D. Stevenson, David J. Wales +1
We report a study of the basins of attraction for potential energy minima defined by different minimisation algorithms for an atomic system. We find that whereas some minimisation…