The continuity of barrier function with respect to the parameter

Abstract

The authors study the continuity of barrier function B _c(x) with respect to the parameter. A sufficient condition which makes B _c(x) be continuous with respect to c is obtained, and an example of discontinuity when the condition is not satisfied is also constructed.

Keywords

Lagrangian system / Average action / Barrier function / Minimal measure / Uniquely ergodic

References

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