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- W3210134849 abstract "We introduce generalized dynamical pruning on rooted binary trees with edge lengths. The pruning removes parts of a tree $T$, starting from the leaves, according to a pruning function defined on subtrees within $T$. The generalized pruning encompasses a number of discrete and continuous pruning operations, including the tree erasure and Horton pruning. The main result is invariance of a finite critical binary Galton-Watson tree with exponential edge lengths with respect to the generalized dynamical pruning for an arbitrary admissible pruning function. The second part of the paper examines the 1-D ballistic annihilation dynamics $A+A rightarrow emptyset$ for the initial velocity that alternates between the values of $pm 1$. The model dynamics is shown to be equivalent to a generalized dynamical pruning of the level set tree of the model potential (integral of velocity), with the pruning function equal to the total tree length. This equivalence allows us to construct a complete description of the annihilation dynamics for the initial velocity that alternates between the values of $pm$1 at the epochs of a stationary Poisson process." @default.
- W3210134849 created "2021-11-08" @default.
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- W3210134849 date "2017-07-06" @default.
- W3210134849 modified "2023-09-27" @default.
- W3210134849 title "Dynamical pruning of binary trees with applications to 1D ballistic annihilation" @default.
- W3210134849 hasPublicationYear "2017" @default.
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