25 citations · 96 across the 14 of their papers we have counts for
14 papers
Escape-rate response to noise of all amplitudes in leaky chaos
Makoto Ohshika, Domenico Lippolis, Akira Shudo
We study the effect of homogeneous noise on the escape rate of strongly chaotic area-preserving maps with a small opening. While in the noiseless dynamics the escape rate analytica…
Towards the resolution of a quantized chaotic phase space: The interplay of dynamics with noise
Domenico Lippolis, Akira Shudo
We outline formal and physical similarities between the quantum dynamics of open systems, and the mesoscopic description of classical systems affected by weak noise. The main tool…
Estimating the spectral density of unstable scars
Domenico Lippolis
In quantum chaos, the spectral statistics generally follows the predictions of Random Matrix Theory (RMT). A notable exception is given by scar states, that enhance probability den…
Eigenfunctions of the Perron-Frobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps
Kensuke Yoshida, Hajime Yoshino, Akira Shudo +1
The subleading eigenvalues and associated eigenfunctions of the Perron-Frobenius operator for 2-dimensional area-preserving maps are numerically investigated. We closely examine th…
Scarring in classical chaotic dynamics with noise
Domenico Lippolis, Akira Shudo, Kensuke Yoshida +1
We report the numerical observation of scarring, that is enhancement of probability density around unstable periodic orbits of a chaotic system, in the eigenfunctions of the classi…
Scarring in open chaotic systems: The local density of states
Domenico Lippolis
Chaotic Hamiltonians are known to follow Random Matrix Theory (RMT) ensembles in the apparent randomness of their spectra and wavefunction statistics. Deviations form RMT also do o…
Counting statistics of chaotic resonances at optical frequencies: theory and experiments
Domenico Lippolis, Li Wang, Yun-Feng Xiao
A deformed dielectric microcavity is used as an experimental platform for the analysis of the statistics of chaotic resonances, in the perspective of testing fractal Weyl laws at o…
Perturbation theory for the Fokker-Planck operator in chaos
Jeffrey M. Heninger, Domenico Lippolis, Predrag Cvitanovic
The stationary distribution of a fully chaotic system typically exhibits a fractal structure, which dramatically changes if the dynamical equations are even slightly modified. Pert…
Neighborhoods of periodic orbits and the stationary distribution of a noisy chaotic system
Jeffrey M. Heninger, Domenico Lippolis, Predrag Cvitanovic
The finest state space resolution that can be achieved in a physical dynamical system is limited by the presence of noise. In the weak-noise approximation the neighborhoods of dete…
Localization in chaotic systems with a single-channel opening
Domenico Lippolis, Jung-Wan Ryu, Sang Wook Kim
We introduce a single-channel opening in a random Hamiltonian and a quantized chaotic map: localization on the opening occurs as a sensible deviation of the wavefunction statistics…
Statistics of Chaotic Resonances in an Optical Microcavity
Li Wang, Domenico Lippolis, Ze-Yang Li +3
Distributions of eigenmodes are widely concerned in both bounded and open systems. In the realm of chaos, counting resonances can characterize the underlying dynamics (regular vs.…
Mapping densities in a noisy state space
Domenico Lippolis
Weak noise smooths out fractals in a chaotic state space and introduces a maximum attainable resolution to its structure. The balance of noise and deterministic stretching/contract…
Knowing when to stop: how noise frees us from determinism
Predrag Cvitanovic, Domenico Lippolis
Deterministic chaotic dynamics presumes that the state space can be partitioned arbitrarily finely. In a physical system, the inevitable presence of some noise sets a finite limit…
How well can one resolve the state space of a chaotic map?
Domenico Lippolis, Predrag Cvitanovic
All physical systems are affected by some noise that limits the resolution that can be attained in partitioning their state space. For chaotic, locally hyperbolic flows, this resol…