On monochromatic arm exponents for 2D critical percolation

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.
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Contributor : Vincent Beffara <>
Submitted on : Thursday, May 6, 2010 - 2:03:58 PM
Last modification on : Wednesday, August 14, 2019 - 10:46:03 AM
Long-term archiving on : Thursday, September 23, 2010 - 6:10:55 PM

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  • HAL Id : ensl-00396822, version 3
  • ARXIV : 0906.3570

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Vincent Beffara, Pierre Nolin. On monochromatic arm exponents for 2D critical percolation. 2010. ⟨ensl-00396822v3⟩

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