Hypergeometric SLE: conformal Markov characterization and applications (Q2304950)

The present paper deals with the classification of pairs of simple random curves which have conformal Markov property and symmetry. The author provides a complete classification of such curves. The obtained result opens a ligh to the shed on hypergeometric SLE. Moreover, various properties of \(hSLE_\kappa(\nu)\) with \(\kappa\in(0,8)\) such as continuity, reversibility, target-independence, and conditional law characterization are established. It is certain applications are presented as well.