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.Comment: Published in at http://dx.doi.org/10.1214/10-AOP581 the Annals of
Probability (http://www.imstat.org/aop/) by the Institute of Mathematical
Statistics (http://www.imstat.org
