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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 4 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 4 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 4 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 4 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