Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Standard Spectral Dimension for the Polynomial Lower Tail Random
  Conductances model   We study models of continuous-time, symmetric, $\Z^{d}$-valued random walks
in random environments, driven by a field of i.i.d. random nearest-neighbor
conductances $\omega_{xy}\in[0,1]$ with a power law with an exponent $\gamma$
near 0. We are interested in estimating the quenched decay of the return
probability $P_\omega^{t}(0,0)$, as $t$ tends to $+\infty$. We show that for
$\gamma> \frac{d}{2}$, the standard bound turns out to be of the correct
logarithmic order. As an expected concequence, the same result holds for the
discrete-time case.

1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci