[1] Barlow, M. T, Rogers, L. C. G., Williams, D. (1980). Wiener-Hopf factorization
for matrices. Seminaire de Probabilites XIV, Springer Lecture Notes in Math., 784,
324-331.
[2] Bertoin, J. and Doney, R. A. (1994). On conditioning a random walk to stay nonnegative.
Ann. Probab. Vol. 22, No. 4, 2152-2167.
[3] Cohen, J. C. (1981). Convexity of the dominant eigenvalue of an essentially nonnegative
matrix. Proc. Amer. Math. Soc. Vol. 81, No. 4, 656-658.
[4] Doetsch, G. (1974). Introduction to the Theory and Application of the Laplace
Transformation. Berlin Heidelberg New York: Springer-Verlag.
[5] Feller, W. (1971). An Introduction to Probability Theory and Its Applications. John
Wiley and Sons, Inc.
[6] Iglehart, D. L. (1974). Random walks with negative drift conditioned to stay positive.
J. Appl. Prob. 11, 742-751.
[7] Jacka, S. D., Lazic, Z., Warren, J. (2005) Conditioning an additive functional of a
Markov chain to stay non-negative II: hitting a high level. Submitted to J. Appl.
Prob.
[8] Jacka, S. D. and Roberts, G. O. (1988) Conditional diffusions: their infinitesimal
generators and limit laws. Research report, Dept. of Statistics, University of Warwick.
[9] Jacka, S. D. and Roberts, G. O. (1995) Weak convergence of conditioned processes
on a countable state space. J. Appl. Prob. 32, 902-916.
[10] Jacka, S. D. and Roberts, G. O. (1997) On strong forms of weak convergence. Stoch.
Proc. Their Apl. 67, 41-53.
[11] Jacka, S. D. and Warren, J. (2002) Examples of convergence and non-convergence
of Markov chains conditioned not to die. Electron. J. Probab. 7 (2002), No. 1, 22
p.
[12] Knight, F. B. (1969). Brownian local times and taboo processes. Trans. Amer.
Math. Soc. (143), 173–185.
[13] London, R. R., McKean, H. P., Rogers, L. C. G., Williams, D. (1980). A martingale
approach to some Wiener-Hopf problems II. Seminaire de Probabilites XVI,
Springer Lecture Notes in Math., 920, 68-91.
[14] Najdanovic, Z. (2003). Conditioning a Markov chain upon the behavoiur of an
additive functional. PhD Thesis, University of Warwick.
[15] Pinsky, R. G. (1985). On the convergence of diffusions processes conditioned to
remain in a bounded region for large time to limiting positive recurrent diffusion
processes. Ann. Probab. Vol. 13, No. 2, 363-378.
[16] Seneta, E. (1981). Non-negative Matrices and Markov Chains. New York Heidelberg
Berlin: Springer-Verlag.
[17] Wilkinson, J. H. (1965). The Algebraic Eigenvalue Problem. Clarendon Press Oxford.