We consider the coherent exciton transport, modeled by continuous-time quantum walks, on Erdös-Rény graphs in the presence of a random distribution of traps. The role of trap concentration and of the substrate dilution is deepened showing that, at long times and for intermediate degree of dilution,
On Mason's extension of the Erdös—Rényi law of large numbers
✍ Scribed by Jean-Noël Bacro; Margarida Brito
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 316 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0167-7152
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📜 SIMILAR VOLUMES
The necessary and su cient conditions are given for some stochastic process to be an empirical distribution function from some exchangeable random variables. The result is applied to establish sharp lower and upper bounds for order statistics based on possibly dependent random variables.
## Abstract The Erdős‐Rényi and Projective Norm graphs are algebraically defined graphs that have proved useful in supplying constructions in extremal graph theory and Ramsey theory. Their eigenvalues have been computed and this yields an upper bound on their independence number. Here we show that