Uniqueness of Invariant Densities for Certain Random Maps of The Interval
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 301-308
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A random map is a discrete time process in which one of a number of maps, M, is chosen at random at each stage and applied. In this note we study a random map, where M is a set of piecewise linear Markov maps on [0, 1]. Sufficient conditions are presented which allow the determination of the unique absolutely continuous invariant measure of the process.
Boyarsky, Abraham. Uniqueness of Invariant Densities for Certain Random Maps of The Interval. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 301-308. doi: 10.4153/CMB-1987-043-1
@article{10_4153_CMB_1987_043_1,
author = {Boyarsky, Abraham},
title = {Uniqueness of {Invariant} {Densities} for {Certain} {Random} {Maps} of {The} {Interval}},
journal = {Canadian mathematical bulletin},
pages = {301--308},
year = {1987},
volume = {30},
number = {3},
doi = {10.4153/CMB-1987-043-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-043-1/}
}
TY - JOUR AU - Boyarsky, Abraham TI - Uniqueness of Invariant Densities for Certain Random Maps of The Interval JO - Canadian mathematical bulletin PY - 1987 SP - 301 EP - 308 VL - 30 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-043-1/ DO - 10.4153/CMB-1987-043-1 ID - 10_4153_CMB_1987_043_1 ER -
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