1k citations · 2.3k across the 36 of their papers we have counts for
46 papers
Partition function for the 2d Coulomb gas on a Jordan curve
Klara Courteaut, Kurt Johansson
We prove an asymptotic formula for the partition function of a 2d Coulomb gas at inverse temperature confined to lie on a Jordan curve. This also gives a central limit theore…
Airy process at a thin rough region between frozen and smooth
Kurt Johansson, Scott Mason
We show there is a last path at the rough smooth boundary of the two-periodic Aztec diamond with parameter that, suitably rescaled, converges to the Airy process, unde…
From Berry-Esseen to super-exponential
Klara Courteaut, Kurt Johansson, Gaultier Lambert
For any integer , where can depend on , we study the rate of convergence of to its limiting Gaussian as for or…
Dimer-dimer correlations at the rough-smooth boundary
Kurt Johansson, Scott Mason
Three phases of macroscopic domains have been seen for large but finite periodic dimer models; these are known as the frozen, rough and smooth phases. The transition region between…
Strong Szegő theorem on a Jordan curve
Kurt Johansson
We consider certain determinants with respect to a sufficiently regular Jordan curve in the complex plane that generalize Toeplitz determinants which are obtained when the curv…
GOE fluctuations for the maximum of the top path in alternating sign matrices
Arvind Ayyer, Sunil Chhita, Kurt Johansson
The six-vertex model is an important toy-model in statistical mechanics for two-dimensional ice with a natural parameter . When , the so-called free-fermion point, the mod…