Fetching the paper…

Reading the bibliography…

2008

Geodesics in large planar maps and in the Brownian map

Gall, Jean-Francois Le

Original
PDF
Post on X

Understand

We study geodesics in the random metric space called the Brownian map, which appears as the scaling limit of large planar maps.

In particular, we completely describe geodesics starting from the distinguished point called the root, and we characterize the set S of all points that are connected to the root by more than one geodesic.
The set S is dense in the Brownian map and homeomorphic to a non-compact real tree.
Furthermore, for every x in S, the number of distinct geodesics from x to the root is equal to the number of connected components of the complement of {x} in S.

Geodesics in large planar maps and in the Brownian map · Around

Built on

Poincaré, H
1905
Earlier work this paper cites.
Myers, S.B
1935
Earlier work this paper cites.
Tutte, W.T
1963
Earlier work this paper cites.
’t Hooft
1974
Earlier work this paper cites.
Brézin, E., Itzykson, C., Parisi, G., Zuber, J.B
1978
Earlier work this paper cites.
Cori, R., Vauquelin, B
1981
Earlier work this paper cites.
Zamfirescu, T
Original
1982
Earlier work this paper cites.
Gallot, S., Hulin, D., Lafontaine, J
1987
Earlier work this paper cites.
Aldous, D
1991
Earlier work this paper cites.
Revuz, D., Yor, M
1991
Earlier work this paper cites.
Shiohama, K., Tanaka, M
1992
Earlier work this paper cites.
Aldous, D
1993
Earlier work this paper cites.
Hebda, J
1994
Earlier work this paper cites.

Similar

Ambjørn, J., Durhuus, B., Jonsson, T
1997
Cited alongside, same era.
Schaeffer, G
1998
Cited alongside, same era.
Le Gall, J.F
1999
Cited alongside, same era.
Burago, D., Burago, Y., Ivanov, S
2001
Cited alongside, same era.
Gromov, M
2001
Cited alongside, same era.
Angel, O
2003
Cited alongside, same era.
Angel, O., Schramm, O
2003
Cited alongside, same era.
Bouttier, J., Di Francesco, P., Guitter, E
2004

Then

Duquesne, T., Le Gall, J.F
2005
Later among the works it cites.
Chassaing, P., Durhuus, B
2006
Later among the works it cites.
Le Gall, J.F., Paulin, F
2006
Later among the works it cites.
Le Gall, J.F., Weill, M
2006
Later among the works it cites.
Marckert, J.F., Mokkadem, A
2006
Later among the works it cites.
Miermont, G
2006
Later among the works it cites.
Schramm, O
2006
Later among the works it cites.
Bouttier, J., Guitter, E

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

Chassaing, P., Schaeffer, G

2004

Cited alongside, same era.

Gittenberger, B

2004

Cited alongside, same era.

Lando, S.K., Zvonkin, A.K

2004

Cited alongside, same era.

Marckert, J.F., Mokkadem, A

2004

Cited alongside, same era.

2007

Later among the works it cites.

Le Gall, J.F

2007

Later among the works it cites.

Marckert, J.F., Miermont, G

2007

Later among the works it cites.

2007

Later among the works it cites.

Miermont, G., Weill, M

2007

Later among the works it cites.

Weill, M

2007

Later among the works it cites.