109 citations · 238 across the 15 of their papers we have counts for
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Spectrum of stochastic evolution operators: Local matrix representation approach
Predrag Cvitanovic, Niels Sondergaard, Gergely Palla +2
A matrix representation of the evolution operator associated with a nonlinear stochastic flow with additive noise is used to compute its spectrum. In the weak noise limit a perturb…
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…
Periodic Orbit Quantization beyond Semiclassics
Gabor Vattay, Per E. Rosenqvist
A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher contributions to the…
Periodic Orbit Theory of Diffraction
Gábor Vattay, Andreas Wirzba, Per E. Rosenqvist
An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic…
Entire Fredholm determinants for Evaluation of Semi-classical and Thermodynamical Spectra
Predrag Cvitanović, Gábor Vattay
Proofs that Fredholm determinants of transfer operators for hyperbolic flows are entire can be extended to a large new class of multiplicative evolution operators. We construct suc…
Transition from Poissonian to GOE level statistics in a modified Artin's billiard
A. Csordás, R. Graham, P. Szépfalusy +1
One wall of Artin's billiard on the Poincaré half plane is replaced by a one-parameter () family of nongeodetic walls. A brief description of the classical phase space of this…