A. Guttmann

activity

19922026

most citedStatistics of lattice animals (polyominoes) and polygons

130 citations · 2k across the 94 of their papers we have counts for

collaborators

Showing 2010 · math-phShow all

3 papers · 2 filters

math-ph2010★ 85 cited

Lattice Green functions in all dimensions

Anthony J Guttmann

We give a systematic treatment of lattice Green functions (LGF) on the $d$ -dimensional diamond, simple cubic, body-centred cubic and face-centred cubic lattices for arbitrary dimen…

math-ph2010★ 8 cited

Square lattice Ising model $χ ~^{(5)}$ ODE in exact arithmetic

B. Nickel, I. Jensen, S. Boukraa +4

We obtain in exact arithmetic the order 24 linear differential operator $L_{24}$ and right hand side $E^{(5)}$ of the inhomogeneous equation $L_{24} (Φ^{(5)}) = E^{(5)}$ , where $Φ^{(…

math-ph2010★ 12 cited

Form factor expansions in the 2D Ising model and Painlevé VI

Vladimir V. Mangazeev, Anthony J. Guttmann

We derive a Toda-type recurrence relation, in both high and low temperature regimes, for the $λ$ - extended diagonal correlation functions $C (N, N; λ)$ of the two-dimensional Ising m…

Lattice Green functions in all dimensions

Square lattice Ising model χ~​(5) ODE in exact arithmetic

Form factor expansions in the 2D Ising model and Painlevé VI

Square lattice Ising model $χ ~^{(5)}$ ODE in exact arithmetic