3 papers
cond-mat.stat-mech2026
Complex paths for real stochastic processes
D. A. Baldwin, A. J. McKane, S. P. Fitzgerald
The calculation of the decay rate of a metastable state in the path-integral formulation of stochastic processes is revisited. Previous derivations of this rate were achieved at th…
cond-mat.stat-mech2000
Renormalization group and perfect operators for stochastic differential equations
Qing Hou, Nigel Goldenfeld, Alan McKane
We develop renormalization group methods for solving partial and stochastic differential equations on coarse meshes. Renormalization group transformations are used to calculate the…
nlin.AO2000
A mean field stochastic theory for species-rich assembled communities
Alan McKane, David Alonso, Ricard V. Sole
A dynamical model of an ecological community is analyzed within a "mean-field approximation" in which one of the species interacts with the combination of all of the other species…