Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation

Keyphrases

• Free Energy 100%
• Differentiability 100%
• Connectivity Function 100%
• Infinite Cluster 100%
• Long-range Percolation 100%
• Specific Heat 50%
• Critical Exponent 50%
• Percolation Model 50%
• Arbitrary Dimension 50%
• Convexity 50%
• Bond Percolation 50%
• Number of Clusters 50%
• Site-specific Model 50%
• Irreducible 50%
• Translation Invariant 50%
• Cluster Size Distribution 50%
• Bond Model 50%
• Mean Cluster Size 50%
• Critical Cluster 50%
• Size Exponent 50%
• Almost Convexity 50%

Mathematics

• Critical Point 100%
• Differentiability 100%
• Arbitrary Dimension 50%
• Critical Exponent 50%
• Irreducibles 50%
• Specific Heat 50%