# Postprocessing techniques for gradient percolation predictions on the square lattice.

@article{Tencer2021PostprocessingTF, title={Postprocessing techniques for gradient percolation predictions on the square lattice.}, author={John Tencer and Kelsey Meeks Forsberg}, journal={Physical review. E}, year={2021}, volume={103 1-1}, pages={ 012115 } }

In this work, we revisit the classic problem of site percolation on a regular square lattice. In particular, we investigate the effect of quantization bias errors on percolation threshold predictions for large probability gradients and propose a mitigation strategy. We demonstrate through extensive computational experiments that the assumption of a linear relationship between probability gradient and percolation threshold used in previous investigations is invalid. Moreover, we demonstrate that…

## One Citation

### Percolation in a triangle on a square lattice

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- 2021

Percolation on a plane is usually associated with clusters spanning two opposite sides of a rectangular system. Here we investigate three-leg clusters generated on a square lattice and spanning the…

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