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

1.6k citations

Showing 2001Show all

11 papers · 1 filter

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…

cond-mat2001★ 81 cited

Critical nonlinear Schroedinger equations with and without harmonic potential

Remi Carles

We use a change of variables that turns the critical nonlinear Schroedinger equation into the critical nonlinear Schroedinger equation with isotropic harmonic potential, in any spa…

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…

cond-mat.supr-con2001★ 19 cited

Decoupling of superconducting layers in magnetic superconductor RuSr_{2}GdCu_{2}O_{8}

Manuel Houzet, Alexandre Buzdin, Miodrag L. Kulic

We propose the model for magnetic properties of the magnetic superconductor RuSrGdCuO, which incorporates the theory of the superconducting/ferromagnetic multilay…

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…

physics.optics2001★ 909 cited

Ablation of solids by femtosecond lasers: ablation mechanism and ablation thresholds for metals and dielectrics

E. G. Gamaly, A. V. Rode, V. T. Tikhonchuk +1

The mechanism of ablation of solids by intense femtosecond laser pulses is described in an explicit analytical form. It is shown that at high intensities when the ionization of the…

math.AT2001

Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements

Alexandru Dimca, Stefan Papadima

We describe a new relation between the topology of hypersurface complements, Milnor fibers and degree of gradient mappings. In particular we show that any projective hypersurface h…