Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Joint distribution of the process and its sojourn time for
  pseudo-processes governed by high-order heat equation   Consider the high-order heat-type equation $\partial u/\partial t=\pm
\partial^N u/\partial x^N$ for an integer $N>2$ and introduce the related
Markov pseudo-process $(X(t))_{t\ge 0}$. In this paper, we study the sojourn
time $T(t)$ in the interval $[0,+\infty)$ up to a fixed time $t$ for this
pseudo-process. We provide explicit expressions for the joint distribution of
the couple $(T(t),X(t))$.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics