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» Generating functions for the area below some lattice paths
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JCT
2007
90views more  JCT 2007»
13 years 9 months ago
Elliptic enumeration of nonintersecting lattice paths
We enumerate lattice paths in the planar integer lattice consisting of positively directed unit vertical and horizontal steps with respect to a specific elliptic weight function. ...
Michael Schlosser
CORR
2010
Springer
162views Education» more  CORR 2010»
13 years 10 months ago
Random sampling of lattice paths with constraints, via transportation
We investigate Monte Carlo Markov Chain (MCMC) procedures for the random sampling of some one-dimensional lattice paths with constraints, for various constraints. We will see that...
Lucas Gerin
CORR
2006
Springer
123views Education» more  CORR 2006»
13 years 9 months ago
Directed animals in the gas
In this paper, we revisit the enumeration of directed animals using gas models. We show that there exists a natural construction of random directed animals on any directed graph t...
Yvan Le Borgne, Jean-François Marckert
COMBINATORICS
2007
67views more  COMBINATORICS 2007»
13 years 9 months ago
Directed Animals and Gas Models Revisited
In this paper, we revisit the enumeration of directed animals using gas models. We show that there exists a natural construction of random directed animals on any directed graph t...
Yvan Le Borgne, Jean-François Marckert