Rooted Spiral Trees on Hyper-Cubic Lattices
نویسندگان
چکیده
منابع مشابه
Rooted Spiral Trees on Hyper-cubical Lattices
We study rooted spiral trees in 2, 3 and 4 dimensions on a hyper cubical lattice using exact enumeration and Monte-Carlo techniques. On the square lattice, we also obtain exact lower bound of 1.93565 on the growth constant λ. Series expansions give θ = −1.3667 ± 0.001 and ν = 1.3148 ± 0.001 on a square lattice. With Monte-Carlo simulations we get the estimates as θ = −1.364 ± 0.01, and ν = 1.31...
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We study rooted spiral trees in 2, 3 and 4 dimensions on a hyper cubic lattice using exact enumeration and Monte-Carlo techniques. On the square lattice, we also obtain exact lower bound of 1.93565 on the growth constant λ. Series expansions give θ = −1.3667± 0.0010 and ν = 0.6574± 0.0010 on a square lattice. With Monte-Carlo simulations we get the estimates as θ = −1.364±0.010, and ν = 0.656±0...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2005
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-005-5475-x