@inproceedings{borgs1998uniform, author = {Borgs, Christian and Chayes, Jennifer and Kesten, H. and Spencer, J.}, title = {Uniform Boundedness of Crossing Probabilities Implies Hyperscaling}, booktitle = {Random Structures and Algorithms 15}, year = {1998}, month = {July}, abstract = {We consider bond percolation on the d-dimensional hypercubic lattice. Assuming the existence of a single critical exponent, the exponent ρ describing the decay rate of point-to-plane crossings at the critical point, we prove that hyperscaling holds whenever critical rectangle crossing probabilities are uniformly bounded away from 1.}, url = {http://approjects.co.za/?big=en-us/research/publication/uniform-boundedness-crossing-probabilities-implies-hyperscaling/}, pages = {368-413}, edition = {Random Structures and Algorithms 15}, }