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» Multivariate Fuss-Catalan numbers
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DM
2008
113views more  DM 2008»
13 years 4 months ago
Multivariate Fuss-Catalan numbers
Catalan numbers C(n) = 1 n+1 2n n enumerate binary trees and Dyck paths. The distribution of paths with respect to their number k of factors is given by ballot numbers B(n, k) = n-...
Jean-Christophe Aval
JCT
2011
66views more  JCT 2011»
12 years 11 months ago
Enumeration of non-crossing pairings on bit strings
A non-crossing pairing on a bitstring matches 1s and 0s in a manner such that the pairing diagram is nonintersecting. By considering such pairings on arbitrary bitstrings 1n1 0m1 ....
Todd Kemp, Karl Mahlburg, Amarpreet Rattan, Cliffo...
ARC
2009
Springer
188views Hardware» more  ARC 2009»
13 years 11 months ago
Word-Length Optimization and Error Analysis of a Multivariate Gaussian Random Number Generator
Abstract. Monte Carlo simulation is one of the most widely used techniques for computationally intensive simulations in mathematical analysis and modeling. A multivariate Gaussian ...
Chalermpol Saiprasert, Christos-Savvas Bouganis, G...
FPL
2010
Springer
139views Hardware» more  FPL 2010»
13 years 2 months ago
Mapping Multiple Multivariate Gaussian Random Number Generators on an FPGA
A Multivariate Gaussian random number generator (MVGRNG) is an essential block for many hardware designs, including Monte Carlo simulations. These simulations are usually used in a...
Chalermpol Saiprasert, Christos-Savvas Bouganis, G...
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
13 years 11 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan