3 problems

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Criticality conjecture at $\alpha+2H=2$
Let $H\in(\frac12,1)$ be the Hurst parameter and let $\alpha$ be the exponent associated with the local-time/renewal structure. The self-energy is … In the regime where the lemma g…
Conjectureopencritical-phenomena fractional-noise stochastic-processesarXiv posted 2 days ago
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Weinrib–Halperin relevance conjecture for the fractional stochastic heat equation
Let $H\in(\frac12,1)$ be the Hurst parameter of the fractional noise, let $\alpha$ be the exponent associated with the renewal/pinning model, and consider the stochastic heat equat…
Conjectureopendisordered-pinning fractional-noise stochastic-heat-equationarXiv posted 2 days ago
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Failure of asymptotic equivalence for small H in fractional-noise regression
Failure of asymptotic equivalence for small $H$ . For sufficiently small $H$ , asymptotic equivalence between the regression experiments will not hold.
Conjectureopenasymptotic-equivalence fractional-noise nonparametric-regressionarXiv posted 2 days ago

Criticality conjecture at α+2H=2\alpha+2H=2α+2H=2