5 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…
Fixed points and dynamics of holomorphic maps
Josias Reppekus
In this manuscript we systematically review known results of local dynamics of discrete local holomorphic dynamics near fixed points in one and several complex variables as well as…
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…