Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: No cutoff in Spherically symmetric trees   We show that for lazy simple random walks on finite spherically symmetric
trees, the ratio of the mixing time and the relaxation time is bounded by a
universal constant. Consequently, lazy simple random walks on any sequence of
finite spherically symmetric trees do not exhibit pre-cutoff; this conclusion
also holds for continuous-time simple random walks. This answers a question
recently proposed by Gantert, Nestoridi, and Schmid. Finally, we study the
stability of this result under rough isometries. Finally, we show that for lazy
simple random walks on finite spherically symmetric trees, hitting times of
vertices are (uniformly) non concentrated.

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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph