The critical density for the frog model is the degree of the tree

The critical density for the frog model is the degree of the tree
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青蛙模型的临界密度是树的度数

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
M. Junge
M. Junge
中科院分区:
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文献类型:
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作者:
Tobias Johnson;M. Junge

文献摘要

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在有根d叉树上的青蛙模型随着每个站点青蛙数量的增加而从瞬时变为循环。我们证明了这个过渡的位置是在同一顺序的程度的树。
The frog model on the rooted d-ary tree changes from transient to recurrent as the number of frogs per site is increased. We prove that the location of this transition is on the same order as the degree of the tree.