KPZ relation does not hold for the level lines and $$\hbox {SLE}_\kappa $$ SLE κ flow lines of the Gaussian free field

Author:

Aru Juhan

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference46 articles.

1. Angel, O., Curien,N.: Percolations on random maps I: half-plane models (2013). arXiv:1301.5311

2. Barral, J.: Continuity of the multifractal spectrum of a random statistically self-similar measure. J. Theor. Probab. 13(4), 1027–1060 (2000)

3. Barral, J., Jin, X., Rhodes, R., Vargas, V.: Gaussian multiplicative chaos and KPZ duality (2012). arXiv:1202.5296

4. Bass, R.F.: Diffusions and elliptic operators. Probability and its applications. Springer, Berlin (1998)

5. Beffara, V.: Hausdorff dimensions for $$SLE_6$$ S L E 6 . Ann. Probab. 32(3B), 2606–2629 (2004)

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