Abstract
We show a diffusive upper bound on the transition probability of a tagged particle in the symmetric simple exclusion process. The proof relies on optimal spectral gap estimates for the dynamics in finite volume, which are of independent interest. We also show off-diagonal estimates of Carne-Varopoulos type.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1056-1095 |
| Number of pages | 40 |
| Journal | Annals of Probability |
| Volume | 47 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2019 |
Keywords
- Exclusion process
- Heat kernel estimate
- Interacting particle system
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty