All Outputs (2)

New percolation crossing formulas and second-order modular forms (2009)
Journal Article
Diamantis, N., & Kleban, P. (2009). New percolation crossing formulas and second-order modular forms. Communications in Number Theory and Physics, 3(4), 677–696. https://doi.org/10.4310/cntp.2009.v3.n4.a4

We consider the three crossing probability densities for percolation recently found via conformal field theory [23]. We prove that all three of them (i) may be simply expressed in terms of Cardy’s [4] and Watts’ [24] crossing probabilities, (ii) are... Read More about New percolation crossing formulas and second-order modular forms.

Kernels of L-functions of cusp forms (2009)
Journal Article
Diamantis, N., & O’Sullivan, C. (2010). Kernels of L-functions of cusp forms. Mathematische Annalen, 346, 897–929. https://doi.org/10.1007/s00208-009-0419-4