caa a22 4500 605525889 CHVBK 20210128100800.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10958-015-2541-z doi (NATIONALLICENCE)springer-10.1007/s10958-015-2541-z Tikhomirov S. Max Plank Institute for Mathematics in the Sciences, Leipzig, Germany aut Shadowing in Linear Skew Products [Elektronische Daten] [S. Tikhomirov] We consider a linear skew product with the full shift in the base and nonzero Lyapunov exponent in the fiber. We provide a sharp estimate for the precision of shadowing for a typical pseudotrajectory of finite length. This result indicates that the high-dimensional analog of the Hammel-Yorke-Grebogi conjecture concerning the interval of shadowability for a typical pseudotrajectory is not correct. The main technique is the reduction of the shadowing problem to the ruin problem for a simple random walk. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/6(2015-09-01), 979-987 1072-3374 209:6<979 2015 209 10958 https://doi.org/10.1007/s10958-015-2541-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2541-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tikhomirov S. Max Plank Institute for Mathematics in the Sciences, Leipzig, Germany aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/6(2015-09-01), 979-987 1072-3374 209:6<979 2015 209 10958