TRAJECTORIES OF QUADRATIC OPERATORS WHICH MAP  2 I  TO ITSELF

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TRAJECTORIES OF QUADRATIC OPERATORS WHICH MAP 2 I TO ITSELF

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MAQOLA ANNOTATSIYASI

Ushbu maqolada   1  n –o’lchovli idempotent ehtimolliklar simpleksini o’zini o’ziga akslantiruvchi kvadratik operatorlar o’rganilgan. Bunday operatorlar ikki sinfga bo’linadi: birinchi sinf nomusbat qiymatlarni qabul qiluvchi va har bir n n o’lchovli  k matritsaaynan bitta nol bo’lmagan ustun va aynan bitta nol bo’lmagan satrdan iborat barcha kubik matritsalar; ikkinchi sinf esa, kamida bitta n n o’lchovli matritsasi nol matritsa bo’lgan, nomusbat elementli n n n   - o’lchovli barcha kubik matritsalardir. Ushbu matritsalar idempotent ehtimolliklar o’lchovi uchun stоxastik matritsa rolini o’ynaydi. Mazkur ishda har ikkala sinf uchun ham qo’zg’almas nuqtalar va ularning xarakterlari topilgan. Shuningdek, 2 I ni o’zini o’ziga akslantiruvchi kvadratik operatorlarning traektoriyalari ham topilgan.

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Teglar

# симплекс# simplex# quadratic operator# idempotent measure# fixed point# attracting fixed point# repelling fixed point# Квадратичный оператор# идемпотентная мера# неподвижная точка# привлекающая неподвижная точка# отталкивающая неподвижная точк# kvadratik operator# idempotent o’lchov# qo’zg’almas nuqta# tortuvchi qo’zg’almas nuqta# itaruvchi qo’zg’almas nuqta

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Foydalanilgan adabiyotlar

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