Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deterministic versus stochastic aspects of superexponential population
  growth models   Deterministic population growth models with power-law rates can exhibit a
large variety of growth behaviors, ranging from algebraic, exponential to
hyperexponential (finite time explosion). In this setup, selfsimilarity
considerations play a key role, together with two time substitutions. Two
stochastic versions of such models are investigated, showing a much richer
variety of behaviors. One is the Lamperti construction of selfsimilar positive
stochastic processes based on the exponentiation of spectrally positive
processes , followed by an appropriate time change. The other one is based on
stable continuous-state branching processes, given by another Lamperti time
substitution applied to stable spectrally positive processes.

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The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc