74 citations · 681 across the 51 of their papers we have counts for
Showing 2001Show all
2 papers · 1 filter
math.PR2001★ 20 cited
Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder
Pietro Caputo, Dima Ioffe
Consider uniformly elliptic random walk on with independent jump rates across nearest neighbour bonds of the lattice. We show that the infinite volume effective diffusion…
cond-mat.stat-mech2001★ 11 cited
Asymmetric diffusion and the energy gap above the 111 ground state of the quantum XXZ model
Pietro Caputo, Fabio Martinelli
We consider the anisotropic three dimensional XXZ Heisenberg ferromagnet in a cylinder with axis along the 111 direction and boundary conditions that induce ground states describin…