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Ergodicity of invariant capacities

  • Published:2020-08 Issue:8 Volume:130 Page:5037-5059
  • ISSN:0304-4149
  • Container-title:Stochastic Processes and their Applications
  • language:en
  • Short-container-title:Stochastic Processes and their Applications

Author:

Feng Chunrong,Wu Panyu,Zhao Huaizhong

Funder

Newton Fund, UK

EPSRC

National Key R&D Program of China

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference30 articles.

1. From fuzzy set theory to non-additive probabilities: How have economists reacted?;Billot;Fuzzy Sets and Systems,1992

2. Proof of the ergodic theorem;Birkhoff;Proc. Natl. Acad. Sci. USA,1931

3. Ergodic theorems for lower probabilities;Cerreia-Vioglio;Proc. Amer. Math. Soc.,2016

4. Strong laws of large numbers for sub-linear expectations;Chen;Sci. China Math.,2016

5. Extension of the strong law of large numbers for capacities;Chen;Math. Control Relat. Fields,2019

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1. A general law of the iterated logarithm for non-additive probabilities;Results in Applied Mathematics;2024-08

2. Optimal Control of Probability on a Target Set for Continuous-Time Markov Chains;IEEE Transactions on Automatic Control;2024-02

3. Metric entropy of capacity preserving dynamical systems;Fuzzy Sets and Systems;2023-04

4. Mixing of capacity preserving dynamical systems;Soft Computing;2022-10-15

5. Ergodic theorems for capacity preserving Z+d-actions;International Journal of Approximate Reasoning;2022-07
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