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» On the Number of Distributive Lattices
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MOC
1998
88views more  MOC 1998»
13 years 4 months ago
The number of lattice points in alcoves and the exponents of the finite Weyl groups
We count lattice points in certain rational simplices associated with an irreducible finite Weyl group W and observe that these numbers are linked to the exponents of W .
Ruedi Suter
MCS
2006
Springer
13 years 4 months ago
A fractional step lattice Boltzmann method for simulating high Reynolds number flows
A fractional step lattice Boltzmann scheme is presented to greatly improve the stability of the lattice Boltzmann method (LBM) in modelling incompressible flows at high Reynolds n...
C. Shu, X. D. Niu, Y. T. Chew, Q. D. Cai
COMBINATORICA
2011
12 years 4 months ago
A q-analogue of the FKG inequality and some applications
Let L be a finite distributive lattice and µ : L → R+ a logsupermodular function. For functions k : L → R+ let Eµ(k; q) def = x∈L k(x)µ(x)qrank(x) ∈ R+ [q]. We prove fo...
Anders Björner
EUROPAR
2010
Springer
13 years 5 months ago
Parallel Enumeration of Shortest Lattice Vectors
Abstract. Lattice basis reduction is the problem of finding short vectors in lattices. The security of lattice based cryptosystems is based on the hardness of lattice reduction. Fu...
Özgür Dagdelen, Michael Schneider 0002
IPPS
2005
IEEE
13 years 10 months ago
Optimal Channel Assignments for Lattices with Conditions at Distance Two
The problem of radio channel assignments with multiple levels of interference can be modeled using graph theory. Given a graph G, possibly infinite, and real numbers k1, k2, . . ...
Jerrold R. Griggs, Xiaohua Teresa Jin