@inproceedings {capili-spp-2013,
	title = {Determination of the percolation critical exponent as measure of dimension},
	booktitle = {Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress},
	year = {2013},
	month = {23{\textendash}25 Oct 2013},
	pages = {SPP2013-4C-6},
	address = {University of San Carlos, Cebu City},
	abstract = {<div>The critical exponent\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>\&nbsp;related to the percolation probability describes the dimensionality of a specific lattice topology. The\&nbsp;accurate determination of\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>\&nbsp;will aid in distinguishing different universality classes. This work describes the fine tuning of the\&nbsp;Sigma method developed previously by the authors in obtaining\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>. The approach uses the log-log plot of the percolation\&nbsp;probability versus the difference of the occupation probability and the percolation threshold. Considering a symmetric distribution of points about the midpoint of this plot yields the\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>\&nbsp;with (1) the lowest standard deviation and (2) the\&nbsp;appropriate asymptotic behavior for both one and two-dimensional lattices.</div>},
	author = {Micielle N Capili and Ronald S. Banzon and Cristine Villagonzalo}
}
