D. Acemoglu, Introduction to Modern Economic Growth, 2009.

J. Appleby, X. Mao, and A. Rodkina, Stabilization and destabilization of nonlinear differential equations by noise. Automatic Control, IEEE Transactions on, vol.53, issue.3, pp.683-691, 2008.

R. Barro and X. Sala-i-martin, Economic Growth, 1995.
DOI : 10.1007/978-1-349-27904-3_14

R. Boucekkine, G. Fabbri, and P. Pintus, Growth and financial liberalization under capital collateral constraints: The striking case of the stochastic AK model with CARA preferences, Economics Letters, vol.122, issue.2, pp.303-307, 2014.
DOI : 10.1016/j.econlet.2013.12.009

URL : https://hal.archives-ouvertes.fr/halshs-00864804

W. Brock and L. Mirman, Optimal economic growth and uncertainty: The discounted case, Journal of Economic Theory, vol.4, issue.3, pp.479-513, 1972.
DOI : 10.1016/0022-0531(72)90135-4

P. Hek, On Endogenous Growth Under Uncertainty, International Economic Review, vol.40, issue.3, pp.727-744, 1999.
DOI : 10.1111/1468-2354.00037

L. Jones and R. Manuelli, Neoclassical models of endogenous growth: the effects of fiscal policy, innovation and fluctuation. Chapter 1 in Handbook of Economic Growth, 2005.

T. Kamihigashi, Almost sure convergence to zero in stochastic growth models, Economic Theory, vol.30, issue.1, pp.231-237, 2006.
DOI : 10.1007/s00199-005-0006-1

R. Khasminskii, Stochastic Stability of Differential Equations. Completely Revised and enlarged 2nd edition, 2012.

X. Mao, Stochastic Diferential Equations and Applications, Second Edition, 2011.

R. Merton, Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case, The Review of Economics and Statistics, vol.51, issue.3, pp.247-257, 1969.
DOI : 10.2307/1926560

R. Merton, Optimum consumption and portfolio rules in a continuous-time model, Journal of Economic Theory, vol.3, issue.4, pp.373-413, 1971.
DOI : 10.1016/0022-0531(71)90038-X

R. Merton, An Asymptotic Theory of Growth Under Uncertainty, The Review of Economic Studies, vol.42, issue.3, pp.375-393, 1975.
DOI : 10.2307/2296851

L. Mirman and I. Zilcha, On optimal growth under uncertainty, Journal of Economic Theory, vol.11, issue.3, pp.329-339, 1975.
DOI : 10.1016/0022-0531(75)90022-8

M. Obstfeld, Risk-taking, global diversification and growth, American Economic Review, vol.85, pp.1310-1329, 1994.
DOI : 10.3386/w4093

T. Steger, Stochastic growth under Wiener and Poisson uncertainty, Economics Letters, vol.86, issue.3, pp.311-316, 2005.
DOI : 10.1016/j.econlet.2004.06.022