The Ninomiya-Victoir splitting output is claimed to converge to SLE in sup-norm and in a weak Lp sense, and is used to draw fractional and noise-reinforced Loewner curves.
On the localization regime of high-dimensional directed polymers in time-correlated random field
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This paper describes directed polymer on general time-correlated random field. Law of large numbers, existence and smoothness of limiting free energies are proved at all temperature. We also display the delocalized-localized transition, via separating techniques for entanglement of the random field.
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Splitting algorithm and normed convergence for drawing the random Loewner curves
The Ninomiya-Victoir splitting output is claimed to converge to SLE in sup-norm and in a weak Lp sense, and is used to draw fractional and noise-reinforced Loewner curves.