• Power-law bounds for critical long-range percolation below the upper-critical dimension

https://arxiv.org/abs/2008.11197

• Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on Z^d

https://arxiv.org/abs/2202.07634

• Pointwise two-point function estimates and a non-pertubative proof of mean-field critical behaviour for long-range percolation

https://arxiv.org/abs/2404.07276

• The non-rigorous scaling theory is also presented for mathematicians in Chapter 9 of Grimmett’s percolation textbook.

• See this paper https://arxiv.org/abs/1610.00200 for an overview of the physics literature on long-range percolation.

• The paper https://arxiv.org/abs/2106.06400 gives a simple new derivation of the fact that the triangle condition implies mean-field critical behaviour.