کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839188 1470458 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ergodicity of nonlinear Markov operators on the finite dimensional space
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Ergodicity of nonlinear Markov operators on the finite dimensional space
چکیده انگلیسی

A nonlinear Markov chain is a discrete time stochastic process whose transition matrices may depend not only on the current state of the process but also on the current distribution of the process. In this paper, we study strong and uniform ergodicity of nonlinear Markov operators defined by stochastic hypermatrices (higher order matrix). We introduce Dobrushin’s ergodicity coefficient for a stochastic hypermatrix which enables to study ergodicity of nonlinear Markov operators. By introducing a notion of scrambling stochastic hypermatrix, we study the strong ergodicity of scrambling nonlinear Markov operators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 143, September 2016, Pages 105–119
نویسندگان
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