Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small ball probability estimates for the H\"older semi-norm of the
  stochastic heat equation   We consider the stochastic heat equation on $[0,\,1]$ with periodic boundary
conditions and driven by space-time white noise. Under various natural
conditions, we study small ball probabilities for the H\"older semi-norms of
the solutions, and provide near optimal bounds on these probabilities. As an
application, we prove a support theorem in these H\"older semi-norms.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph