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Matchings and phylogenetic trees。
Applying GreenLab Model to Adult Chinese Pine Trees with Topology Simplification
GreenLab Model Adult Chinese Pine Treesh opology Simplification
2011/2/21
This paper applied the functional structural model GreenLab to adult Chinese pine trees (pinus
tabulaeformis Carr.).
Implicit Renewal Theorem for Trees with General Weights
Implicit renewal theory weighted branching processes
2011/1/20
Consider distributional xed point equations of the form R D= f(Ci;Ri; 1 i N); where f() is a possibly random real valued function, N 2 f0; 1; 2; 3; : : : g [ f1g, fCigN i=1 are real valued rando...
Central limit theorem for biased random walk on multi-type Galton-Watson trees
Central limit theorem random walk multi-type Galton-Watson trees
2010/11/23
Let T be a rooted multi-type Galton-Watson (MGW) tree of finitely many types with at least one offspring at each vertex, and an offspring distribution with exponential tails. The lambda-biased random...
On the conjugacy problem for finite-state automorphisms of regular rooted trees
finite-state automorphisms regular rooted trees math
2010/11/15
We study the conjugacy problem in the automorphism group $Aut(T)$ of a regular rooted tree $T$ and in its subgroup $FAut(T)$ of finite-state automorphisms. We show that under the contracting conditio...
Lattice Polynomials, 12312-Avoiding Partial Matchings and Even Trees
Lattice Polynomials Partial Matchings Even Trees
2010/11/22
The lattice polynomials $L_{i,j}(x)$ are introduced by Hough and Shapiro as a weighted count of certain lattice paths from the origin to the point $(i,j)$. In particular, $L_{2n, n}(x)$ reduces to th...
On the solution of a quadratic vector equation arising in Markovian Binary Trees
quadratic vector equation arising Markovian Binary Trees
2010/11/11
We present some advances, both from a theoretical and from a computational point of view, on a quadratic vector equation (QVE) arising in Markovian Binary Trees. Concerning the theoretical advances, ...
Gibbs-non-Gibbs properties for evolving Ising models on trees
non-Gibbsianness Ising models tree graphs Glauber dynamics
2010/12/7
In this paper we study homogeneous Gibbs measures on a Cayley tree,subjected to an in nite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gi...
Spanning Trees on Hypercubic Lattices and Non-orientable Surfaces
Trees Hypercubic Lattices Non-orientable Surfaces
2010/11/2
We consider the problem of enumerating spanning trees on lattices. Closed-form expressions are obtained for the spanning tree generating function for a hypercubic lattice of size N_1 x N_2 x...x N_d ...