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تسجيل مستخدم جديدمتوالية الدوال المتعددة الأبعاد في الاحتمالية الحرة بشرط الإدمج
Multilinear function series in conditionally free probability with amalgamation
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تأليف
Mihai Popa
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كما في حالات الحرية والاستقلال المونوتوني، يكون معنى الحرية المشروطة معنوياً عند استبدال الحالات المقدرة بالقيم المعقدة بتوقعات مشروطة إيجابية. في هذا الإطار، يقدم البحث عدة نتائج إيجابية، نسخة من قانون النهاية المركزي وتحويل مشروط الحر مبني باستخدام سلاسل وظيفية متعددة الأبعاد.
As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several positivity results, a version of the central limit theorem and an analogue of the conditionally free R-transform constructed by means of multilinear function series.
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