3 papers
math.PR2024
Restrictions of some reinforced processes to subgraphs
Margherita Disertori, Franz Merkl, Silke W. W. Rolles
We prove that the restriction of the vertex-reinforced jump process to a subset of the vertex set is a mixture of vertex-reinforced jump processes. A similar statement holds for th…
math-ph2024
Fluctuations in the non-linear supersymmetric hyperbolic sigma model with long-range interactions
Margherita Disertori, Franz Merkl, Silke W. W. Rolles
We consider a class of non-linear supersymmetric hyperbolic sigma models with long-range interactions on boxes in and on a hierarchical lattice. We prove that the ra…
math.PR2024
Transience of vertex-reinforced jump processes with long-range jumps
Margherita Disertori, Franz Merkl, Silke W. W. Rolles
We show that the vertex-reinforced jump process on the -dimensional lattice with long-range jumps is transient in any dimension as long as the initial weights do not decay t…