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19932020
most citedHabitable Zones Around Main-Sequence Stars: New Estimates

1.6k citations

Showing 2001 · math.COShow all

7 papers · 2 filters

math.CO2001

Coloured permutations containing and avoiding certain patterns

T. Mansour

Following Mansour, let be the set of all coloured permutations on the symbols with colours , which is the analogous of the symmetric group when r…

math.CO2001★ 1 cited

Schur Partial Derivative Operators

Jean-Christophe Aval, Nantel Bergeron

A lattice diagram is a finite list L=((p_1,q_1),...,(p_n,q_n) of lattice cells. The corresponding lattice diagram determinant is Δ_L(X;Y)=\det \| x_i^{p_j}y_i^{q_j} \|. These latti…

math.CO2001

Continued fractions and generalized patterns

T. Mansour

In [BS] Babson and Steingrimsson introduced generalized permutation patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the permutation.…

math.CO2001

restricted 1-3-2 permutations and generalized patterns

T. Mansour

Recently, Babson and Steingrimsson (see [BS]) introduced generalized permutations patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the…

math.CO2001★ 18 cited

Catalan paths, Quasi-symmetric functions and Super-Harmonic Spaces

Jean-Christophe Aval, Nantel Bergeron

We investigate the quotient ring of the ring of formal power series $\Q[[x_1,x_2,...]]$ over the closure of the ideal generated by non-constant quasi-\break symmetric functions…

math.CO2001★ 11 cited

Vanishing ideals of Lattice Diagram determinants

J. -C. Aval, N. Bergeron

A lattice diagram is a finite set of lattice cells in the positive quadrant. The corresponding lattice diagram determinant is $Δ_L(\X;\Y)=\det \| x…

math.CO2001★ 48 cited

Walks on the slit plane: other approaches

Mireille Bousquet-Melou

Let S be a finite subset of Z^2. A walk on the slit plane with steps in S is a sequence (0,0)=w_0, w_1, ..., w_n of points of Z^2 such that w_{i+1}-w_i belongs to S for all i, and…