36 citations · 36 across the 4 of their papers we have counts for
4 papers
Celestial Walk: A Terminating Oblivious Walk for Convex Subdivisions
Wouter Kuijper, Victor Ermolaev, Olivier Devillers
We present a new oblivious walking strategy for convex subdivisions. Our walk is faster than the straight walk and more generally applicable than the visibility walk. To prove term…
A note on counting labeled and unlabeled trees
Victor N. Ermolaev, Giulio Iacobelli
We provide a short combinatorial proof of Cayley's formula by means of a bijective map to an outcome space of an urn-drawing problem. Furthermore we introduce an algebraic structur…
Gibbs-non-Gibbs properties for evolving Ising models on trees
Aernout van Enter, Victor Ermolaev, Giulio Iacobelli +1
In this paper we study homogeneous Gibbs measures on a Cayley tree, subjected to an infinite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show th…
Low-temperature dynamics of the Curie-Weiss Model: Periodic orbits, multiple histories, and loss of Gibbsianness
Victor Ermolaev, Christof Kuelske
We consider the Curie-Weiss model at a given initial temperature in vanishing external field evolving under a Glauber spin-flip dynamics corresponding to a possibly different tempe…