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math.PR2022★ 1 cited
Distance-dependent chase-escape on trees
Sarai Hernandez-Torres, Matthew Junge, Naina Ray +1
We give a necessary and sufficient condition for species coexistence in a parasite-host growth process on infinite -ary trees. The novelty of this work is that the spreading and…
math.PR2016
Ewens sampling and invariable generation
Gerandy Brito, Christopher Fowler, Matthew Junge +1
We study the number of random permutations needed to invariably generate the symmetric group, , when the distribution of cycle counts has the strong -logarithmic property.…