Quenched and averaged large deviations for random walks in random environments: The impact of disorder

Author:

Bazaes Rodrigo1,Mukherjee Chiranjib2,Ramírez Alejandro F.1,Saglietti Santiago1

Affiliation:

1. Facultad de Matemáticas, Universidad Católica de Chile

2. Fachbereich Mathematik und Informatik, Universität Münster

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference53 articles.

1. Dembo, A. and Zeitouni, O. (1998). Large Deviations Techniques and Applications, 2nd ed. Applications of Mathematics (New York) 38. Springer, New York.

2. ROCKAFELLAR, R. T. (1997). Convex Analysis. Princeton Landmarks in Mathematics. Princeton Univ. Press, Princeton, NJ. Reprint of the 1970 original, Princeton Paperbacks.

3. ASSELAH, A. and CASTELL, F. (2003). Large deviations for Brownian motion in a random scenery. Probab. Theory Related Fields 126 497–527.

4. BAUR, E. (2016). An invariance principle for a class of non-ballistic random walks in random environment. Probab. Theory Related Fields 166 463–514.

5. BAZAES, R., MUKHERJEE, C., RAMÍREZ, A. and SAGLIETTI, S. (2021). The effect of disorder on quenched and averaged large deviations for random walks in random environment: Boundary behavior. Preprint, arXiv:2101.04606.

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