597 citations · 2.2k across the 55 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math-ph2010
Absence of magnetism in continuous-spin systems with long-range antialigning forces
Marek Biskup, Nicholas Crawford
We consider continuous-spin models on the -dimensional hypercubic lattice with the spins \emph{a priori} uniformly distributed over the unit sphere in (with …
math-ph2010★ 5 cited
True nature of long-range order in a plaquette orbital model
Marek Biskup, Roman Kotecky
We analyze the classical version of a plaquette orbital model that was recently introduced and studied numerically by S. Wenzel and W. Janke. In this model, edges of the square lat…
math.PR2010★ 22 cited
Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models
Marek Biskup, Omar Boukhadra
We study the diagonal heat-kernel decay for the four-dimensional nearest-neighbor random walk (on ) among i.i.d. random conductances that are positive, bounded from above but…