The article can be freely accessed here. The proof is only five pages. I am quite in doubt.
A new version (2021) of that paper can be found here.
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7$\begingroup$ Generally speaking we try to avoid "is this paper correct" type questions on the forum. If you were to write up a specific argument in detail and ask about a specific step, that is the kind of question that would get a response here. But blanket "please publicly referee this paper" questions do not get a positive reception. $\endgroup$– Ryan BudneyCommented May 1, 2022 at 7:32
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According to MR it has been retracted by the author, see Braz. J. Probab. Stat. 33 (2019). See also the MathReview for details on the proof.
answered May 1, 2022 at 7:18
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$\begingroup$ Is there a published paper on the journal "Mathematical Review (AMS)" on this topic? $\endgroup$– High GPACommented May 1, 2022 at 7:25
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5$\begingroup$ @HighGPA: Math Reviews is not a journal. They index published papers, and offer reviews of the papers. $\endgroup$ Commented May 1, 2022 at 7:29