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math-ph2025
Group-Theoretic Upper Bounds on Reconstructability in Inverse Problems
Isshin Arai, Tomoaki Itano
Reconstructing the causal structure of physical systems from observational data constitutes a fundamental inverse problem. Here we show that the reconstruction dimension---defined…
nlin.CD2025★ 1 cited
Nonlinear Aggregation of Phase Elements on the Unit Circle under Parametric External Fields
Isshin Arai, Tomoaki Itano, Masako Sugihara-Seki
We investigate nonlinear aggregation dynamics of phase elements distributed on the unit circle under parametrically modulated external fields. Our model, inspired by flaky particle…
physics.flu-dyn2025
Probabilistic description of flake orientation suspended in rotating wave flows
Tomoaki Itano, Isshin Arai
In fluid dynamics experiments, flake-based flow visualization is a common technique to capture flow structures through the rays reflected from flat tracers suspended in the fluid.…