arXiv subjects

Dima Ioffe

Publications and source records attributed to Dima Ioffe.

2 recordsLinked to original sources

arXiv2001

Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder

Consider uniformly elliptic random walk on $\bbZ^d$ with independent jump rates across nearest neighbour bonds of the lattice. We show that the infinite volume effective diffusion matrix can be almost surely recovered as the limit of finite volume periodized effective diffusion matrices.

math.PR↗

arXiv2001

2D models of statistical physics with continuous symmetry: the case of singular interactions

We show the absence of continuous symmetry breaking in 2D lattice systems without any smoothness assumptions on the interaction. We treat certain cases of interactions with integrable singularities. We also present cases of singular interactions with continuous symmetry, when the symmetry is broken in the thermodynamic limit.

math.PR↗