Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Piecewise deterministic simulated annealing   Given an energy potential on the Euclidian space, a piecewise deterministic
Markov process is designed to sample the corresponding Gibbs measure. In
dimension one an Eyring-Kramers formula is obtained for the exit time of the
domain of a local minimum at low temperature, and a necessary and sufficient
condition is given on the cooling schedule in a simulated annealing algorithm
to ensure the process converges to the set of global minima. This condition is
similar to the classical one for diffusions and involves the critical depth of
the potential. In higher dimension a non optimal sufficient condition is
obtained.

4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con