Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bak--Sneppen type models and rank-driven processes   The Bak--Sneppen model is a simple stochastic model of evolution that
exhibits self-organized criticality and for which few analytical results have
been established. In the original Bak-Sneppen model and many subsequent
variants, interactions among the evolving species are tied to a specified
topology. We report a surprising connection between Bak-Sneppen type models and
more tractable Markov processes that evolve without any reference to an
underlying topology. Specifically, we show that in the case of a large number
of species, the long time behaviour of the fitness profile in the anisotropic
Bak--Sneppen model can be replicated by a model with a purely rank-based update
rule whose asymptotics can be studied rigorously.

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The categories of this paper are: math
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph