3 problems
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Conjecture on integrability under the hypotheses of the quasi-frequency theorem
Quasi-frequency integrability conjecture. A similar proposition, with similar conditions on the drift and diffusion coefficients of the stochastic differential equation, can be est…
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Conjecture on non-trivial small-noise correction to quasi-asymptotic frequency
Small-noise correction conjecture. The correction term may be non-trivial in the small-noise regime for certain systems.
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Infinite-population synchronization conjecture for interacting quasi-cycles
The paper considers infinitely many interacting quasi-cycles coupled according to the stochastic Kuramoto-type model discussed above. Infinite-population quasi-cycle conjecture. Si…