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20212025
most citedStatistical properties of the localization measure of chaotic eigenstates and the spectral statistics in a mixed-type billiard

31 citations · 119 across the 9 of their papers we have counts for

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nlin.CD2021

Quantum chaos in triangular billiards

Črt Lozej, Giulio Casati, Tomaž Prosen

We present an extensive numerical study of spectral statistics and eigenfunctions of quantized triangular billiards. We compute two million consecutive eigenvalues for six represen…

quant-ph2021★ 31 cited

Statistical properties of the localization measure of chaotic eigenstates and the spectral statistics in a mixed-type billiard

Benjamin Batistić, Črt Lozej, Marko Robnik

We study the quantum localization in the chaotic eigenstates of a billiard with mixed-type phase space, after separating the regular and chaotic eigenstates, in the regime of sligh…

nlin.CD2021★ 24 cited

Effects of stickiness in the classical and quantum ergodic lemon billiard

Črt Lozej, Dragan Lukman, Marko Robnik

We study the classical and quantum ergodic lemon billiard introduced by Heller and Tomsovic in Phys. Today 46(7), 38 (1993), for the case , which is a classically ergodic sy…

nlin.CD2021★ 14 cited

Structure, size, and statistical properties of chaotic components in a mixed-type Hamiltonian system

Črt Lozej, Marko Robnik

We perform a detailed study of the chaotic component in mixed-type Hamiltonian systems on the example of a family of billiards [introduced by Robnik in J. Phys. A: Math. Gen. 16, 3…

nlin.CD2021★ 12 cited

Aspects of diffusion in the stadium billiard

Črt Lozej, Marko Robnik

We perform a detailed numerical study of diffusion in the stadium of Bunimovich, and propose an empirical model of the local and global diffusion for various values o…

nlin.CD2021★ 18 cited

Stickiness in generic low-dimensional Hamiltonian systems: A recurrence-time statistics approach

Črt Lozej

We analyze the structure and stickiness in the chaotic components of generic Hamiltonian systems with divided phase space. Following the method proposed recently in Lozej and Robni…