Uniqueness of the Critical Long-Range Percolation Metrics

Jian Ding, Peking University, Beijing, People's Republic of China, Zherui Fan, Peking University, Beijing, People's Republic of China, and Lu-Jing Huang, Fujian Normal University, Fuzhou, People's Republic of China

• 1. Introduction2. Some preparations3. Bi-Lipschitz equivalence4. Proof of Theorem5. Proof of Theorem6. Quantifying the optimality of the optimal bi-Lipschitz constants7. The core argument