On the Smoothness of the Partition Function for Multiple Schramm–Loewner Evolutions
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DOI: 10.1007/s10955-018-2165-z
Abstract: We consider the measure on multiple chordal Schramm–Loewner evolution ($$\textit{SLE}_\kappa $$SLEκ) curves. We establish a derivative estimate and use it to give a direct proof that the partition function is $$C^2$$C2 if $$\kappa < 4$$κ read more here.
Keywords: schramm loewner; partition function;
Six-vertex model and Schramm-Loewner evolution.
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DOI: 10.1103/physreve.95.052146
Abstract: Square ice is a statistical mechanics model for two-dimensional ice, widely believed to have a conformally invariant scaling limit. We associate a Peano (space-filling) curve to a square ice configuration, and more generally to a… read more here.
Keywords: schramm loewner; vertex model; ice; six vertex ... See more keywords
Schramm-Loewner evolution of the accessible perimeter of isoheight lines of correlated landscapes
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DOI: 10.1142/s0129183118500080
Abstract: Real landscapes exhibit long-range height–height correlations, which are quantified by the Hurst exponent H. We give evidence that for negative H, in spite of the long-range nature of correlations, the statistics of the accessible perimeter… read more here.
Keywords: schramm loewner; perimeter isoheight; isoheight lines; accessible perimeter ... See more keywords