Extends fBm and fOU to -1/2 < H < 0 via smoothing, establishing stationarity, suppressed diffusion, persistence, and optimal conditioned paths that match known results at H=0.
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cond-mat.stat-mech 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Numerical simulations of quenched KPZ interfaces in 1D and 2D confirm the directed percolation depinning exponents and show non-Gaussian front fluctuation PDFs that differ from time-dependent KPZ noise.
citing papers explorer
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Fractional Brownian Motion with Negative Hurst Exponent
Extends fBm and fOU to -1/2 < H < 0 via smoothing, establishing stationarity, suppressed diffusion, persistence, and optimal conditioned paths that match known results at H=0.
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Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces
Numerical simulations of quenched KPZ interfaces in 1D and 2D confirm the directed percolation depinning exponents and show non-Gaussian front fluctuation PDFs that differ from time-dependent KPZ noise.