Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse Exponential Decay: Stochastic Fixed Point Equation and ARMA
  Models   We study solutions to the stochastic fixed point equation
$X\stackrel{d}{=}AX+B$ when the coefficients are nonnegative and $B$ is an
"inverse exponential decay" (IED) random variable. We provide theorems on the
left tail of $X$ which complement well-known tail results of Kesten and Goldie.
We generalize our results to ARMA processes with nonnegative coefficients whose
noise terms are from the IED class. We describe the lower envelope for these
ARMA processes.

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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th