48 citations · 161 across the 22 of their papers we have counts for
24 papers
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…
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…
Vacuum polarisation without infinities
Dirk - André Deckert, Franz Merkl, Markus Nöth
In honour of Detlef Dürr, we report on a mathematical rigorous computation of the electric vacuum polarisation current and extract the well-known expression for the second order pe…
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…
The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions
Margherita Disertori, Franz Merkl, Silke W. W. Rolles
We study the non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions. For interactions which do not decrease too fast in the h…
Variance of voltages in a lattice Coulomb gas
Diana Conache, Markus Heydenreich, Franz Merkl +1
We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb…