@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}
}
@inproceedings {245,
	title = {Percolation critical exponent of a constrained lattice},
	booktitle = {Proceedings of the 30th Samahang Pisika ng Pilipinas Physics Congress},
	year = {2012},
	month = {22{\textendash}24 Oct 2012},
	pages = {SPP-2012-004},
	address = {De La Salle Health Sciences Institute, Dasmari{\~n}as, Cavite},
	abstract = {<div>We implement the Average Occupation Probability method to treat site percolation on a square lattice with banned sites. It was found that the introduction of banned sites increases the value of the percolation probability while reducing the value of the critical exponent\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>. The deviation of\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>\&nbsp;in site percolation of a constrained lattice from that of a regular system suggests that these\&nbsp;lattice\&nbsp;topologies belong to two different universality classes.</div>},
	author = {Micielle N Capili and Cristine Villagonzalo and Ronald S. Banzon}
}
@inproceedings {248,
	title = {Determination of the critical exponent β in site percolation using average occupation probability on a square lattice},
	booktitle = {Proceedings of the 29th Samahang Pisika ng Pilipinas National Physics Congress},
	year = {2011},
	month = {24{\textendash}26 Oct 2011},
	pages = {SPP2011-5A-3},
	address = {University of the Philippines Diliman, Quezon City},
	abstract = {<div>Using the Average Occupation Probability in site percolation, the critical exponent\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>\&nbsp;for a lattice (L {\texttimes} L) is determined. The results for different lattice\&nbsp;sizes show that as the lattice becomes larger, the calculated\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>\&nbsp;agrees better with that obtained from 2D scaling theory. There appears a common\&nbsp;range of p-pc which can be used for any L to compute for\&nbsp;<span style="color: $\#$545454; font-family: arial, sans-serif; font-size: small; line-height: 18.2px;">β</span>. We estimate that a minimum lattice size of 200 {\texttimes} 200 is necessary for the\&nbsp;procedure to yield an acceptable value of the critical exponent.</div>},
	url = {https://paperview.spp-online.org/proceedings/article/view/3139},
	author = {Micielle N Capili and Cristine Villagonzalo and Ronald S. Banzon}
}
@inproceedings {capili-spp-2007,
	title = {Calculation of the average occupation probability for spanning cluster formation in site percolation},
	booktitle = {Proceedings of the 25th Samahang Pisika ng Pilipinas Physics Congress},
	year = {2007},
	month = {24{\textendash}26 Oct 2007},
	pages = {SPP-2007-192},
	address = {University of the Phlippines Los Ba{\~n}os, Laguna},
	abstract = {<div>The average occupation probability for spanning cluster formation in square lattice using site percolation was calculated. Starting with an empty lattice, sites were generated using a pseudo-random number generator. A cluster labeling procedure was implemented for the detection of a spanning cluster. Our results show that the average occupation probability decreases linearly with inverse lattice edge length. The average occupation probability{\textquoteright}s extrapolated value of 0.608 as the lattice size approaches infinity is found to be a good estimate of the accepted value for the site percolation threshold in two dimensions equal to 0.598.</div>},
	author = {Micielle N Capili and Cristine Villagonzalo and Ronald S. Banzon}
}