24 citations · 114 across the 28 of their papers we have counts for
4 papers · 2 filters
Chemical Reaction Networks in a Laplacian Framework
J. J. P. Veerman, Tessa Whalen-Wagner, Ewan Kummel
The study of the dynamics of chemical reactions, and in particular phenomena such as oscillating reactions, has led to the recognition that many dynamical properties of a chemical…
Statistics of a Family of Piecewise Linear Maps
J. J. P. Veerman, P. J. Oberly, L. S. Fox
We study statistical properties of the truncated flat spot map . In particular, we investigate whether for large , the deviations $\sum_{i=0}^{n-1} \left(f_t^i(x_0)-\fra…
Cauchy distributions for the integrable standard map
Anastasios Bountis, J. J. P. Veerman, Franco Vivaldi
We consider the integrable (zero perturbation) two--dimensional standard map, in light of current developments on ergodic sums of irrational rotations, and recent numerical evidenc…
A Primer on Laplacian Dynamics in Directed Graphs
J. J. P. Veerman, Robert Lyons
We analyze the asymptotic behavior of general first order Laplacian processes on digraphs. The most important ones of these are diffusion and consensus with both continuous and dis…