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What is Strict Inequalities for Arm Exponents in Percolation about?
This document presents a method to improve correlation inequalities in planar percolation, specifically showing that the two-arm exponent is strictly greater than twice the one-arm exponent. It also establishes that monochromatic arm exponents exceed their polychromatic counterparts, providing new proofs for existing results. The findings contribute to the understanding of critical bond percolation on hexagonal and square lattices, addressing previously open questions in the field.
- Author
- Srikanth
- Language
- EN