Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transport of gaussian measures by the flow of the nonlinear
  Schr\"odinger equation   We prove a new smoothing type property for solutions of the 1d quintic
Schr\"odinger equation. As a consequence, we prove that a family of natural
gaussian measures are quasi-invariant under the flow of this equation. In the
defocusing case, we prove global in time quasi-invariance while in the focusing
case because of a blow-up obstruction we only get local in time
quasi-invariance. Our results extend as well to generic odd power
nonlinearities.

33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat