Tamás Makai

Enumeration of Regular Multipartite Hypergraphs

Abstract. We determine the asymptotic number of regular multipartite hypergraphs, also known as multidimensional binary contingency tables, for all values of the parameters.

Limit laws for critical dispersion on complete graphs

We consider a synchronous process of particles moving on the vertices of a graph G, introduced by Cooper, McDowell, Radzik, Rivera and Shiraga (Random Structures Algorithms 53 (2018) 561–585). Initially, M particles are placed on a vertex of G. In subsequent time steps, all parti...