2 papers
math-ph2018
The free-fermion eight-vertex model: couplings, bipartite dimers and Z-invariance
Paul Melotti
We study the eight-vertex model at its free-fermion point. We express a new "switching" symmetry of the model in several forms: partition functions, order-disorder variables, coupl…
math.NT2018
On path partitions of the divisor graph
Paul Melotti, Eric Saias
It is known that the longest simple path in the divisor graph that uses integers is of length . We study the partitions of into a minim…