publications
C.P. Dettmann and D. Lippolis, Periodic orbit theory of two Tchebyscheff maps, Chaos, Solitons, and Fractals 23, 43-54 (2005)
D. Lippolis and P. Cvitanovic, How well can one resolve the state space of a chaotic map?, Physical Review Letters, 104, 014101 (2010)
P. Cvitanovic and D. Lippolis, Knowing when to stop: how noise frees us from determinism, AIP Conference Proceedings, 1468 , 82 (2012). arXiv:1206.5506.
D. Lippolis, J.W. Ryu, S.Y. Lee, and S.W. Kim, On-manifold localization in open quantum maps, Physical Review E, 86, 066213 (2012).
D. Lippolis, Mapping densities in a noisy state space, IEICE Proceeding Series, 2, 318 (2014). arXiv:1303.0951.
D. Lippolis, J.W. Ryu, and S.W. Kim, Localization in chaotic systems with a single-channel opening, Physical Review E, 92, 012921 (2015).
J.M. Heninger, D. Lippolis, and P. Cvitanovic, Neighborhoods of periodic orbits and the stationary distribution of a noisy chaotic system, Physical Review E, 92, 062922 (2015).
L. Wang, D. Lippolis, Z.Y. Li, X.F. Jiang, Q. Gong, and Y.F. Xiao, Statistics of chaotic resonances in an optical microcavity, Physical Review E, 93, 040201(R) (2016).
Erratum, ibidem ,94, 029902 (2016).
D. Lippolis, L. Wang, and Y.F. Xiao, Counting statistics of chaotic resonances at optical frequencies: Theory and experiments, Physical Review E, 96, 012217 (2017).
J.M. Heninger, D. Lippolis, and P. Cvitanovic, Perturbation theory for the Fokker-Planck operator in chaos, Communications in Nonlinear Science and Numerical Simulation, 55, 16-28 (2018).
D. Lippolis, Scarring in open chaotic systems: The local density of states, EPL, 126, 10003 (2019).
D. Lippolis, A. Shudo, K. Yoshida, and H. Yoshino, Scarring in classical chaotic dynamics with noise, Physical Review E, 103, L050202 (2021).
K. Yoshida, H. Yoshino, A. Shudo, and D. Lippolis, Eigenfunctions of the Perron-Frobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps, Journal of Physics A: Mathematical and Theoretical, 54, 285701 (2021).
D. Lippolis, Estimating the spectral density of unstable scars, Journal of Physics A: Mathematical and Theoretical, 55, 324001 (2022).