2 papers
math-ph2026
Dimers on Riemann surfaces and compactified free field
Mikhail Basok
We consider the dimer model on a bipartite graph embedded into a locally flat Riemann surface with conical singularities and satisfying certain geometric conditions in the spirit o…
math-ph2026
Kenyon's identities for the height function and compactified free field in the dimer model
Mikhail Basok
In his seminal paper published in 2000 Kenyon developed a method to study the height function of the planar dimer model via discrete complex analysis tools. The core of this method…