arXiv subjects

Joseph G. Conlon

Publications and source records attributed to Joseph G. Conlon.

20 records · Page 2Linked to original sources

arXiv2006

On homogenization of a diffusion perturbed by a periodic reflection invariant vector field

In this paper the author studies the problem of the homogenization of a diffusion perturbed by a periodic reflection invariant vector field. The vector field is assumed to have fixed direction but varying amplitude. The existence of a homogenized limit is proven and formulas for the effective diffusion constant are given. In dimension $d=1$ the effective diffusion constant is always less than the constant for the pure diffusion. In $d>1$ this property no longer holds in general.

math.AP↗

arXiv2006

On a model for the efficient operation of a bank or insurance company

In this paper the authors study a model for the optimal operation of a bank or insurance company which was recently introduced by Peura and Keppo. The model generalizes a previous one of Milne and Robertson by allowing the bank to raise capital as well as to pay out dividends. Optimal operation of the bank is determined by solving an optimal control problem. In this paper it is shown that the solution of the optimal control problem proposed by Peura and Keppo exists for all values of the parameters and is unique.

math.AP↗