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  1. Benjamini, Itai; Kesten, Harry. Distinguishing sceneries by observing the scenery along a random walk path. J. Anal. Math. 69 (1996), 97--135. Math. Review 1428097
  2. Burdzy, Krzysztof. Some path properties of iterated Brownian motion. Seminar on Stochastic Processes, 1992 (Seattle, WA, 1992), 67--87, Progr. Probab., 33, Birkhäuser Boston, Boston, MA, 1993. Math. Review 1278077
  3. den Hollander, Frank; Steif, Jeffrey E. Mixing properties of the generalized $T,Tsp {-1}$-process. J. Anal. Math. 72 (1997), 165--202. Math. Review 1482994
  4. den Hollander, W. Th. F. Mixing properties for random walk in random scenery. Ann. Probab. 16 (1988), no. 4, 1788--1802. Math. Review 0958216
  5. Durrett, Richard. Probability: theory and examples. Second edition. Duxbury Press, Belmont, CA, 1996. xiii+503 pp. ISBN: 0-534-24318-5 Math. Review 1609153
  6. Howard, C. Douglas. Detecting defects in periodic scenery by random walks on $ Z$. Random Structures Algorithms 8 (1996), no. 1, 59--74. Math. Review 1368850
  7. Howard, C. Douglas. Orthogonality of measures induced by random walks with scenery. Combin. Probab. Comput. 5 (1996), no. 3, 247--256. Math. Review 1411085
  8. Howard, C. Douglas. Distinguishing certain random sceneries on $ Z$ via random walks. Statist. Probab. Lett. 34 (1997), no. 2, 123--132. Math. Review 1457504
  9. Kalikow, Steven Arthur. $T,,Tsp{-1}$ transformation is not loosely Bernoulli. Ann. of Math. (2) 115 (1982), no. 2, 393--409.Math. Review 0647812
  10. Keane, M.; den Hollander, W. Th. F. Ergodic properties of color records. Phys. A 138 (1986), no. 1-2, 183--193.Math. Review 0865242
  11. Kesten, Harry.Detecting a single defect in a scenery by observing the scenery along a random walk path. Itô's stochastic calculus and probability theory, 171--183, Springer, Tokyo, 1996.Math. Review 1439524 Kesten, Harry.Distinguishing and reconstructing sceneries from observations along random walk paths. Microsurveys in discrete probability (Princeton, NJ, 1997), 75--83, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 41, Amer. Math. Soc., Providence, RI, 1998.Math. Review 1630410
  12. Lenstra, Andries; Matzinger, Heinrich. Reconstructing a 4-color scenery by observing it along a recurrent random walk path with unbounded jumps. In preparation (2004).Math. Review number not available.
  13. Lindenstrauss, Elon.Indistinguishable sceneries. Random Structures Algorithms 14 (1999), no. 1, 71--86.Math. Review 1662199
  14. Löwe, Matthias; Matzinger, Heinrich, III. Scenery reconstruction in two dimensions with many colors.Ann. Appl. Probab. 12 (2002), no. 4, 1322--1347.Math. Review 1936595
  15. Löwe, Matthias; Matzinger, Heinrich, III. Reconstruction of sceneries with correlated colors. Stochastic Process. Appl. 105 (2003), no. 2, 175--210.Math. Review 1978654
  16. Löwe, Matthias; Matzinger, Heinrich, III. Reconstructing a three-color scenery by observing it along a simple random walk path. Random Structures Algorithms 15 (1999), no. 2, 196--207.Math. Review 1704344
  17. Matzinger, Heinrich; Rolles, Silke W. W. Finding blocks and other patterns in a random coloring of Z. Preprint no. 03-044 in (2003). Math. Review number not available.
  18. Matzinger, Heinrich; Rolles, Silke W. W. Reconstructing a piece of scenery with polynomially many observations. Stochastic Process. Appl. 107 (2003), no. 2, 289--300. Math. Review 1999792
  19. Matzinger, Heinrich; Rolles, Silke W. W. Reconstructing a random scenery observed with random errors along a random walk path. Probab. Theory Related Fields 125 (2003), no. 4, 539--577.Math. Review 1974414
  20. Matzinger, Heinrich; Rolles, Silke W. W.Retrieving random media. Preprint no. 03-043 in (2003). Math. Review number not available.
  21. Spitzer, Frank. Principles of random walks.Second edition. Graduate Texts in Mathematics, Vol. 34. Springer-Verlag, New York-Heidelberg, 1976. xiii+408 pp.Math. Review 0388547

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