Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite volume and asymptotic methods for stochastic neuron models with
  correlated inputs   We consider a pair of stochastic integrate and fire neurons receiving
correlated stochastic inputs. The evolution of this system can be described by
the corresponding Fokker-Planck equation with non-trivial boundary conditions
resulting from the refractory period and firing threshold. We propose a finite
volume method that is orders of magnitude faster than the Monte Carlo methods
traditionally used to model such systems. The resulting numerical
approximations are proved to be accurate, nonnegative and integrate to 1. We
also approximate the transient evolution of the system using an
Ornstein--Uhlenbeck process, and use the result to examine the properties of
the joint output of cell pairs. The results suggests that the joint output of a
cell pair is most sensitive to changes in input variance, and less sensitive to
changes in input mean and correlation.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th