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$\limsup$ of Brownian Motion Time Integral

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#brownian-motion #limsup-and-liminf
45
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Is the limit superior defined on every real-valued function with a finite range?

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#limsup-and-liminf
469
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Show That $\limsup_{x \to x_0} f(x) \ge \liminf_{x \to x_0} f(x)$

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#real-analysis #limsup-and-liminf
92
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Physical meaning about $\limsup$ of a Stochastic Process

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#stochastic-processes #limsup-and-liminf
116
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Are these implications true for a nonnegative stochastic process $X_t$?

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#stochastic-processes #limsup-and-liminf
132
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"Counterexample" to this characterization of lim sup?

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#real-analysis #proof-verification #limsup-and-liminf
643
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The value of limsup and liminf of a sequence of a sets obtained by combining three sequences

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#real-analysis #elementary-set-theory #limsup-and-liminf
248
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Applying Gronwall's Inequality

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#integration #limsup-and-liminf
1.6k
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Are random variables independent of their tail sigma-algebra?

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#probability-theory #proof-verification #random-variables #limsup-and-liminf #independence
1k
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Prove that limsup and liminf of an independent sequence are independent of finite number of terms

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#probability-theory #proof-verification #random-variables #limsup-and-liminf #independence
168
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Lim sup/inf of average value

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#integration #sequences-and-series #limsup-and-liminf
1.3k
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$\limsup = \liminf$ of sequence of Sets

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#measure-theory #limsup-and-liminf
59
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$\liminf_n a_n = \inf_n a_n$ if $a_n \ge a_m$ when $n\mid m$

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#real-analysis #reference-request #limsup-and-liminf #supremum-and-infimum
96
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Superior limit of a certain sequence

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#sequences-and-series #limits #limsup-and-liminf
73
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Non-additive upper logarithmic density: $\ell^\star(X \cup Y) \neq \ell^\star(X)+\ell^\star(Y)$

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#number-theory #elementary-number-theory #limsup-and-liminf

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