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Quantum chaos and semiclassical behavior in mushroom billiards II: Structure of quantum eigenstates and their phase space localization properties
Matic Orel, Marko Robnik
https://arxiv.org/abs/2510.11412

Quantum chaos and semiclassical behavior in mushroom billiards II: Structure of quantum eigenstates and their phase space localization properties
We investigate eigenstate localization in the phase space of the Bunimovich mushroom billiard, a paradigmatic mixed-phase-space system whose piecewise-$C^{1}$ boundary yields a single clean separatrix between one regular and one chaotic region. By varying the stem half-width $w$, we continuously change the strength and extent of bouncing-ball stickiness in the stem, which for narrow stems gives rise to phase space localization of chaotic eigenstates. Using the Poincaré-Husimi (PH) representati…

Assumption-lean Inference for Network-linked Data
Wei Li, Nilanjan Chakraborty, Robert Lunde
https://arxiv.org/abs/2510.00287 https://arxiv.org/pdf/2510.00…

Assumption-lean Inference for Network-linked Data
We consider statistical inference for network-linked regression problems, where covariates may include network summary statistics computed for each node. In settings involving network data, it is often natural to posit that latent variables govern connection probabilities in the graph. Since the presence of these latent features makes classical regression assumptions even less tenable, we propose an assumption-lean framework for linear regression with jointly exchangeable regression arrays. We …

Crosslisted article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- Semiclassical analytical solutions of the eigenstate thermalization hypothesis in a quantum billiard
Yaoqi Ye, Chengkai Lin, Xiao Wang

Topological Vibration Analysis of Elastic Lattices via Bloch Sphere Mapping
Kazi Tahsin Mahmood, M. Arif Hasan
https://arxiv.org/abs/2510.11930 https://arx…

Topological Vibration Analysis of Elastic Lattices via Bloch Sphere Mapping
Mechanical lattices support topological wave phenomena governed by geometric phases. We develop a compact Hilbert space description for one-dimensional elastic chains, expressing intra-cell motion as a normalized superposition of orthogonal eigenstates and tracking complex amplitudes as trajectories on a Bloch sphere. For diatomic lattices, this framework makes inversion symmetry protection explicit: the relative phase between in-phase and out-of-phase modes is piecewise locked, and the Zak pha…