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343:{\displaystyle X=\varprojlim _{j\in J}Y_{j}=\left\{\left.y=(y_{j})_{j\in J}\in Y=\prod _{j\in J}Y_{j}\right|i<j\implies y_{i}=p_{ij}(y_{j})\right\}.}
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583:. Applications of Mathematics (New York) 38 (Second ed.). New York: Springer-Verlag. pp. xvi+396.
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31:. Heuristically speaking, the Dawson–Gärtner theorem allows one to transport a
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be the projective limit (also known as the inverse limit) of the system (
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562:{\displaystyle I(x)=\sup _{j\in J}I_{j}(p_{j}(x)).}
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16:Mathematical result in large deviations theory
581:Large deviations techniques and applications
464:satisfies the large deviation principle on
423:satisfy the large deviation principle with
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448: ∪ {+∞}. Then the family (
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72:Hausdorff topological spaces
25:Dawson–Gärtner theorem
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480: ∪ {+∞} given by
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377:. Assume that, for each
33:large deviation principle
468:with good rate function
43:Statement of the theorem
622:Large deviations theory
29:large deviations theory
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387:push-forward measures
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627:Probability theorems
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371:probability measures
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617:Asymptotic analysis
603:(See theorem 4.6.1)
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21:mathematics
611:Categories
573:References
74:with maps
514:∈
287:⟹
254:∈
247:∏
237:∈
229:∈
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169:∈
160:←
599:1619036
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