APA
Click to copy
Carrasco, P. D., & Vales, T. (2021). A symmetric Random Walk defined by the time-one map of a geodesic flow. Discrete and Continuous Dynamical Systems - A, 41(6), 2891–2905. https://doi.org/10.3934/dcds.2020390
Chicago/Turabian
Click to copy
Carrasco, Pablo D., and Túlio Vales. “A Symmetric Random Walk Defined by the Time-One Map of a Geodesic Flow.” Discrete and Continuous Dynamical Systems - A 41, no. 6 (2021): 2891–2905.
MLA
Click to copy
Carrasco, Pablo D., and Túlio Vales. “A Symmetric Random Walk Defined by the Time-One Map of a Geodesic Flow.” Discrete and Continuous Dynamical Systems - A, vol. 41, no. 6, 2021, pp. 2891–905, doi:10.3934/dcds.2020390.
BibTeX Click to copy
@article{carrasco2021a,
title = {A symmetric Random Walk defined by the time-one map of a geodesic flow},
year = {2021},
issue = {6},
journal = {Discrete and Continuous Dynamical Systems - A},
pages = {2891-2905},
volume = {41},
doi = {10.3934/dcds.2020390},
author = {Carrasco, Pablo D. and Vales, Túlio}
}
In this note we consider a symmetric Random Walk defined by a (f, f^-1 ) Kalikow type system, where f is the time-one map of the geodesic flow corresponding to an hyperbolic manifold. We provide necessary and suf- ficient conditions for the existence of an stationary measure for the walk that is equivalent to the volume in the corresponding unit tangent bundle. Some dynamical consequences for the Random Walk are deduced in these cases.
