States Spaces of the Snake and Its Tour—Convergence of the Discrete Snake

59 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Scaling Limits for Random Quadrangulations of Positive Genus (2010, background): “Proposition 15 may appear stronger than Corollary 16, but is actually not, because of the strong link between the whole snake and its head [20].”
Combinatorial Stochastic Processes (2006, unknown): “For some other recent developments, see [94, 295, 217].”
THE DENSITY OF THE ISE AND LOCAL LIMIT LAWS FOR EMBEDDED TREES (2005, background): “(In fact, it is easily seen that the pair (ζ, W) determines W ; see further [24].”
Conditioned Brownian trees (2005, background): “r )0≤r≤σ (see the homeomorphism theorem of [ 25 ]).”
Limit of normalized quadrangulations: The Brownian map (2004, background): “The space T is the states space of the tour of the Brownian snake with lifetime process the normalized Brownian excursion (see [ 34 ]).”
Random planar lattices and integrated superBrownian excursion (2002, result): “(A similar weak convergence was independently proved by Marckert and Mokkadem [ 26 ] but without the deviation bounds we need here.)”
Geodesics in large planar maps and in the Brownian map (2008, methodology): “A simple way to verify this is to use the homeomorphism theorem of [27].”