33 citations · 78 across the 13 of their papers we have counts for
10 papers · 1 filter
Trace formulas for stochastic evolution operators: Smooth conjugation method
Predrag Cvitanovic, C. P. Dettmann, Ronnie Mainieri +1
The trace formula for the evolution operator associated with nonlinear stochastic flows with weak additive noise is cast in the path integral formalism. We integrate over the neigh…
Trace formulas for stochastic evolution operators: Weak noise perturbation theory
Predrag Cvitanovic', C. P. Dettmann, Ronnie Mainieri +1
Periodic orbit theory is an effective tool for the analysis of classical and quantum chaotic systems. In this paper we extend this approach to stochastic systems, in particular to…
THE CONVERGENCE OF CHAOTIC INTEGRALS
Oliver Bauer, Ronnie Mainieri
We review the convergence of chaotic integrals computed by Monte Carlo simulation, the trace method, dynamical zeta function, and Fredholm determinant on a simple one-dimensional e…
Geometrization of spin systems using cycle expansions
Ronnie Mainieri
It is shown that a spin system with long range interactions can be converted into a chaotic dynamical system that is differentiable and low-dimensional. The thermodynamic limit of…
Cycle expansions with pruned orbits have branch points
Ronnie Mainieri
Cycle expansions are an efficient scheme for computing the properties of chaotic systems. When enumerating the orbits for a cycle expansion not all orbits that one would expect at…
Dynamic Scaling Function at the Quasiperiodic Transition to Chaos
Ronnie Mainieri, Robert Ecke
We obtain a five-step approximation to the quasiperiodic dynamic scaling function for experimental Rayleigh-Be'nard convection data. When errors are taken into account in the exper…