261 citations
- Joint Institute for Nuclear ResearchRU10 papers
- University of FreiburgDE10 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR9 papers
- European Organization for Nuclear ResearchCH9 papers
- University of BonnDE9 papers
- Institut de Recherche sur les Lois Fondamentales de l'UniversFR8 papers
- A. Alikhanyan National LaboratoryAM7 papers
- Chemnitz University of TechnologyDE7 papers
- High Energy Accelerator Research OrganizationJP7 papers
- Ruhr University BochumDE7 papers
- Technical University of MunichDE7 papers
- Brookhaven National LaboratoryUS6 papers
Showing 2007Show all
3 papers · 1 filter
math.MG2007★ 36 cited
Hamiltonians on discrete structures: Jumps of the integrated density of states and uniform convergence
Daniel Lenz, Ivan Veselic'
We study equivariant families of discrete Hamiltonians on amenable geometries and their integrated density of states (IDS). We prove that the eigenspace of a fixed energy is spanne…
math.PR2007★ 26 cited
Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs
Tonći Antunović, Ivan Veselić
We study homogeneous, independent percolation on general quasi-transitive graphs. We prove that in the disorder regime where all clusters are finite almost surely, in fact the expe…
math.SP2007★ 10 cited
Equality of Lifshitz and van Hove exponents on amenable Cayley graphs
Tonći Antunović, Ivan Veselić
We study the low energy asymptotics of periodic and random Laplace operators on Cayley graphs of amenable, finitely generated groups. For the periodic operator the asymptotics is c…