Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From logarithmic to subdiffusive polynomial fluctuations for internal
  DLA and related growth models   We consider a cluster growth model on the d-dimensional lattice, called
internal diffusion limited aggregation (internal DLA). In this model, random
walks start at the origin, one at a time, and stop moving when reaching a site
not occupied by previous walks. It is known that the asymptotic shape of the
cluster is spherical. When dimension is 2 or more, we prove that fluctuations
with respect to a sphere are at most a power of the logarithm of its radius in
dimension d larger than or equal to 2. In so doing, we introduce a closely
related cluster growth model, that we call the flashing process, whose
fluctuations are controlled easily and accurately. This process is coupled to
internal DLA to yield the desired bound. Part of our proof adapts the approach
of Lawler, Bramson and Griffeath, on another space scale, and uses a sharp
estimate (written by Blach\`ere in our Appendix) on the expected time spent by
a random walk inside an annulus.

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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: eess
30
The categories of this paper are: q-alg