On monochromatic arm exponents for 2D critical percolation
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1286-1304 |
| Journal / Publication | Annals of Probability |
| Volume | 39 |
| Issue number | 4 |
| Online published | 5 Aug 2011 |
| Publication status | Published - 2011 |
| Externally published | Yes |
Link(s)
Abstract
We investigate the so-called monochromatic arm exponents for critical percolation in two dimensions. These exponents, describing the probability of observing j disjoint macroscopic paths, are shown to exist and to form a different family from the (now well understood) polychromatic exponents. More specifically, our main result is that the monochromatic j-arm exponent is strictly between the polychromatic j-arm and (j +1)-arm exponents.
Research Area(s)
- Critical exponent, Percolation, Scaling limit
Citation Format(s)
On monochromatic arm exponents for 2D critical percolation. / Beffara, Vincent; Nolin, Pierre.
In: Annals of Probability, Vol. 39, No. 4, 2011, p. 1286-1304.
In: Annals of Probability, Vol. 39, No. 4, 2011, p. 1286-1304.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
