TL;DR
This paper introduces a generalized explorer model extending the Harmonic explorer, aiming to match the left-passage probabilities of SLE_k, and discusses its potential properties and significance.
Contribution
It proposes a new generalized explorer model that could correspond to SLE_k, expanding the understanding of discrete models related to conformal invariance.
Findings
Proposes a generalized explorer model related to SLE_k
Suggests the model matches left-passage probabilities of SLE_k
Provides insights into potential continuous limits of discrete explorers
Abstract
This is a short note describing a model generalizing the Harmonic explorer [6] that might be of interest and it is intended for publication in a journal. The conjectured continuous model should have the same left-passage probability as SLE_ but possibly be a different curve.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsDiffusion and Search Dynamics · Advanced Combinatorial Mathematics · Optimization and Search Problems