4 papers
Hulls and boundaries in
Stefan Nemirovski, Josias Reppekus, Nikolay Shcherbina
The paper is concerned with the boundary behaviour of polynomially and rationally convex hulls in pseudoconvex domains in . As an application, it is shown that every…
Decay of correlations and zeros for the hard-core model
Han Peters, Guus Regts, Josias Reppekus
In a recent paper the last author proved that absence of complex zeros of the partition function of the hard-core model near a parameter implies a form of correlation decay c…
Punctured parabolic cylinders in automorphisms of
Josias Reppekus
We show the existence of automorphisms of with a non-recurrent Fatou component biholomorphic to that is the basin of attra…
Periodic cycles of attracting Fatou components of type in automorphisms of
Josias Reppekus
We generalise a recent example by F. Bracci, J. Raissy and B. Stensønes to construct automorphisms of admitting an arbitrary finite number of non-recurrent Fatou c…