Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Uniqueness for some non-Lipschitz SDE   We study the uniqueness in the path-by-path sense (i.e. $\omega$-by-$\omega$)
of solutions to stochastic differential equations with additive noise and
non-Lipschitz autonomous drift. The notion of path-by-path solution involves
considering a collection of ordinary differential equations and is, in
principle, weaker than that of a strong solution, since no adaptability
condition is required. We use results and ideas from the classical theory of
ode's, together with probabilistic tools like Girsanov's theorem, to establish
the uniqueness property for some classes of noises, including Brownian motion,
and some drift functions not necessarily bounded nor continuous.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
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The categories of this paper are: eess
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph