Universal correlations in percolation

Abstract

We discuss correlations in percolation and recent contributions of Xiaojun Tan, Youjin Deng and Jesper Lykke Jacobsen in their paper "N-cluster correlations in four- and five-dimensional percolation," Frontiers of Physics 15, 41501 (July, 2020). This is a View and Perspective in Frontiers of Physics.

References in corpus (10)

• Efficient Monte Carlo algorithm and high-precision results for percolation
• Critical Percolation in Finite Geometries
• On three-point connectivity in two-dimensional percolation
• Measures of critical exponents in the four dimensional site percolation
• Logarithmic observables in critical percolation
• From discrete to continuous percolation in dimensions 3 to 7
• Short-range correlations in percolation at criticality
• Critical exponents and universal excess cluster number of percolation in four and five dimensions
• Observation of non-scalar and logarithmic correlations in 2D and 3D percolation
• $N$-cluster correlations in four- and five-dimensional percolation

Cited by in corpus (2)

• Crossover exponents, fractal dimensions and logarithms in Landau-Potts field theories
• Conjecture on the lower bound of the length-scale critical exponent $\nu$ at continuous phase transitions