Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp adaptive similarity testing with pathwise stability for ergodic
  diffusions   Within the nonparametric diffusion model, we develop a multiple test to infer
about similarity of an unknown drift $b$ to some reference drift $b_0$: At
prescribed significance, we simultaneously identify those regions where
violation from similiarity occurs, without a priori knowledge of their number,
size and location. This test is shown to be minimax-optimal and adaptive. At
the same time, the procedure is robust under small deviation from Brownian
motion as the driving noise process. A detailed investigation for fractional
driving noise, which is neither a semimartingale nor a Markov process, is
provided for Hurst indices close to the Brownian motion case.

29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci