TY - JOUR
T1 - Large deviations in dynamical systems and stochastic processes
AU - Kifer, Yuri
PY - 1990/10
Y1 - 1990/10
N2 - The paper exhibits a unified approach to large deviations of dynamical systems and stochastic processes based on the existence of a pressure functional and on the uniqueness of equilibrium states for certain dense sets of functions. This enables us to generalize recent results from [OP, Y, and D] on large deviations for dynamical systems, as well, as to recover Donsker- Varadhan’s [DV2] large deviation estimates for Markov processes.
AB - The paper exhibits a unified approach to large deviations of dynamical systems and stochastic processes based on the existence of a pressure functional and on the uniqueness of equilibrium states for certain dense sets of functions. This enables us to generalize recent results from [OP, Y, and D] on large deviations for dynamical systems, as well, as to recover Donsker- Varadhan’s [DV2] large deviation estimates for Markov processes.
KW - Hyperbolic dynamical systems
KW - Large deviations
KW - Markov processes
UR - http://www.scopus.com/inward/record.url?scp=0001766458&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-1990-1025756-7
DO - 10.1090/S0002-9947-1990-1025756-7
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AN - SCOPUS:0001766458
SN - 0002-9947
VL - 321
SP - 505
EP - 524
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 2
ER -