Stochastic nonlinear Perron–Frobenius theorem
نویسندگان
چکیده
منابع مشابه
Stochastic Nonlinear Perron-frobenius Theorem∗
We establish a stochastic nonlinear analogue of the PerronFrobenius theorem on eigenvalues and eigenvectors of positive matrices. The result is formulated in terms of an automorphism T of a probability space (Ω,F , P ) and a random mapping D(ω, ·) : R+ → R+. Under assumptions of monotonicity and homogeneity of D(ω, ·), we prove the existence of scalar and vector measurable functions α(ω) > 0 an...
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ژورنال
عنوان ژورنال: Positivity
سال: 2009
ISSN: 1385-1292,1572-9281
DOI: 10.1007/s11117-008-0003-2