Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states

@article{Kifer1990PrincipalET,
  title={Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states},
  author={Yuri Kifer},
  journal={Israel Journal of Mathematics},
  year={1990},
  volume={70},
  pages={1-47}
}
Suppose thatL is a second order elliptic differential operator on a manifoldM, B is a vector field, andV is a continuous function. The paper studies by probabilistic and dynamical systems means the behavior asɛ → 0 of the principal eigenvalueλε(V) for the operatorLε = ɛL + (B, ∇) +V considered on a compact manifold or in a bounded domain with zero boundary conditions. Under certain hyperbolicity conditions on invariant sets of the dynamical system generated by the vector fieldB the limit as… CONTINUE READING

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