Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tails of bivariate stochastic recurrence equation with triangular
  matrices   We study bivariate stochastic recurrence equations with triangular matrix
coefficients and we characterize the tail behavior of their stationary
solutions ${\bf W} =(W_1,W_2)$. Recently it has been observed that $W_1,W_2$
may exhibit regularly varying tails with different indices, which is in
contrast to well-known Kesten-type results. However, only partial results have
been derived. Under typical "Kesten-Goldie" and "Grey" conditions, we
completely characterize tail behavior of $W_1,W_2$. The tail asymptotics we
obtain has not been observed in previous settings of stochastic recurrence
equations.

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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: funct-an