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- Guillaume Chapuy, Michel Marcus, Gilles Schaeffer
- SIAM J. Discrete Math.
- 2009

The enumeration of maps and the study of uniform random maps have been classical topics of combinatorics and statistical physics ever since the seminal work of Tutte in the sixties. Following the bijective approach initiated by Cori and Vauquelin in the eighties, we describe a bijection between rooted maps, or rooted bipartite quadrangulations, on a surface… (More)

- Robert Cori, Michel Marcus
- Theor. Comput. Sci.
- 1998

Different formulas counting families of non isomorphic chord diagrams are given : planar and toroidal ones and those of maximal genus. These formulas are obtained establishing results on the structure of the automorphism group of diagrams of a given genus.

- M Marcus, Victor J. Mizel, V. J. Mizel
- 2015

The present paper is concerned with the circumstances under which a function g(x,t ,...,t ) provides, via composition, a ^ 1 m mapping between Sobolev spaces. That is, we examine conditions which ensure that for every system of functions u_,...,u e W _ (Q) 1 m 1, q (where W, (Q) is the class of L functions with L summable i,q q q strong first derivatives on… (More)

- Robert Cori, Michel Marcus, Gilles Schaeffer
- Eur. J. Comb.
- 2012

- M Marcus, Victor J. Mizel, IVU Marcus, V. J. Mizel
- 2015

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