6 problems

Let $\chi(\omega)$ denote the complex susceptibility as a function of the frequency $\omega$. The width of a resonance peak is related to the imaginary part of a nearby pole, and t…

The Hénon map is … with $a=1.4$ and $b=0.3$, and it has a strange attractor with a fractal structure. Its lack of uniform hyperbolicity, including tangencies between stable and uns…

Unstable-contribution reduction conjecture. The unstable contribution could potentially be reduced if the effect of the larger components of the measure gradient is eliminated.

Alignment conjecture. If $J$ is aligned with the most expansive direction of the unstable manifold and the positive part of the Lyapunov spectrum is not clustered around a certain…

Alignment constraint conjecture. The alignment constraint is not an obstacle for higher-dimensional systems with statistical homogeneity.

Quantum upgrade conjecture. The classical stochastic theory may be upgraded to a quantum theory by expressing the susceptibilities … according to Kubo's linear response theory and…