Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Besov regularity of the bifractional Brownian motion   Our aim in this paper is to improve H\"{o}lder continuity results for the
bifractional Brownian motion (bBm) $(B^{\alpha,\beta}(t))_{t\in[0,1] }$ with
$0<\alpha<1$ and $0<\beta\leq 1$. We prove that almost all paths of the bBm
belong (resp. do not belong) to the Besov spaces $\mathbf{Bes}(\alpha \beta,p)$
(resp. $\mathbf{bes}(\alpha \beta,p)$) for any $\frac{1}{\alpha
\beta}<p<\infty$, where $\mathbf{bes}(\alpha \beta,p)$ is a separable subspace
of $\mathbf{Bes}(\alpha \beta,p)$. We also show the It\^{o}-Nisio theorem for
the bBm with $\alpha \beta>\frac{1}{2}$ in the H\"{o}lder spaces
$\mathcal{C}^{\gamma}$, with $\gamma<\alpha \beta$.

28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn