Proves that persistence exponents satisfy e(a,H) = e(a+2H-1,1-H), refutes the conjecture e(2,H)=H(1-H), and gives exact asymptotics for large a using continuity and generalized Slepian lemmas.
The Inviscid Burgers Equation with Fractional Brownian Initial Data: The Dimension of Regular Lagrangian points
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Persistence probabilities for fractionally integrated fractional Brownian noise
Proves that persistence exponents satisfy e(a,H) = e(a+2H-1,1-H), refutes the conjecture e(2,H)=H(1-H), and gives exact asymptotics for large a using continuity and generalized Slepian lemmas.