A new proof for the Daniel-Stone theorem for random probability measures
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- by Xue Liu PDF
- Proc. Amer. Math. Soc. 147 (2019), 3887-3895 Request permission
Abstract:
In this paper, we give a new proof for the Daniel-Stone theorem for random probability measures without using the result of the classical Daniel-Stone theorem.References
- Hans Crauel and Franco Flandoli, Additive noise destroys a pitchfork bifurcation, J. Dynam. Differential Equations 10 (1998), no. 2, 259–274. MR 1623013, DOI 10.1023/A:1022665916629
- Hans Crauel, Random probability measures on Polish spaces, Stochastics Monographs, vol. 11, Taylor & Francis, London, 2002. MR 1993844, DOI 10.1201/b12601
- Richard M. Dudley, Real analysis and probability, The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, CA, 1989. MR 982264
- Rick Durrett, Probability: theory and examples, 4th ed., Cambridge Series in Statistical and Probabilistic Mathematics, vol. 31, Cambridge University Press, Cambridge, 2010. MR 2722836, DOI 10.1017/CBO9780511779398
- Sidney I. Resnick, A probability path, Birkhäuser Boston, Inc., Boston, MA, 1999. MR 1664717
Additional Information
- Xue Liu
- Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
- Email: xueliu@math.byu.edu
- Received by editor(s): February 18, 2018
- Received by editor(s) in revised form: May 23, 2018, and December 25, 2018
- Published electronically: April 18, 2019
- Communicated by: Wenxian Shen
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 3887-3895
- MSC (2010): Primary 37H05; Secondary 28D99
- DOI: https://doi.org/10.1090/proc/14520
- MathSciNet review: 3993781