@article {selfSimilarEnergySierpinski,
   author = {M. Cucuringu and R. Strichartz},
   title = {Self similar Energy Forms on the {S}ierpinski Gasket with Twists},
   journal = {Potential Analysis},
   publisher = {Springer Netherlands},
   issn = {0926-2601},
   keyword = {Mathematics and Statistics},
   pages = {45-60},
   volume = {27},
   issue = {1},
   url = {http://dx.doi.org/10.1007/s11118-007-9047-3},
   note = {10.1007/s11118-007-9047-3},
   abstract = {By introducing twists into the iterated function system that defines the Sierpinski gasket, we are able to construct a unique regular energy form that satisfies a self-similar identity with any prescribed projective weights. Our construction is explicit (involving finding a root of a 4th order polynomial), and we are able to find explicitly a polynomial identity for the algebraic variety containing the smooth manifold of admissible weights. Without the twists, there are obstructions to existence, and a complete description due to Sabot is quite complicated.},
   year = {2007}
}