Embree–Trefethen constant
In number theory, the Embree–Trefethen constant is a threshold value labelled β*. For a fixed positive number β, consider the recurrence relation where the sign in the sum is chosen at random for each n independently with equal probabilities for "+" and "−". It can be proven that for any choice of β, the limit exists almost surely. In informal words, the sequence behaves exponentially with probability one, and σ(β) can be interpreted as its almost sure rate of exponential growth. We have σ < 1 for 0 < β < β* = 0.70258 approximately, σ > 1 for β* < β, so they grow exponentially.
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Embree–Trefethen constant
In number theory, the Embree–Trefethen constant is a threshold value labelled β*. For a fixed positive number β, consider the recurrence relation where the sign in the sum is chosen at random for each n independently with equal probabilities for "+" and "−". It can be proven that for any choice of β, the limit exists almost surely. In informal words, the sequence behaves exponentially with probability one, and σ(β) can be interpreted as its almost sure rate of exponential growth. We have σ < 1 for 0 < β < β* = 0.70258 approximately, σ > 1 for β* < β, so they grow exponentially.
has abstract
Die Embree-Trefethen-Konstante ...... -Konstante) und
* σ(β*) = 1.
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In matematica, e in particolar ...... di Viswanath), e
* σ(β*)=1.
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In number theory, the Embree–T ...... Embree and Lloyd N. Trefethen.
@en
在數論中，恩布里-特雷費森常數（Embree-Trefeth ...... 名是來自應用數學家馬克·恩布里及勞埃德·尼古拉斯·特雷費森。
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Wikipage page ID
Wikipage revision ID
678,336,458
title
Random Fibonacci Sequence
urlname
RandomFibonacciSequence
comment
Die Embree-Trefethen-Konstante ...... ntiell mit Basis σ(β). Es gilt
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In matematica, e in particolar ...... per n→∞ con probabilità uno, e
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In number theory, the Embree–T ...... β, so they grow exponentially.
@en
在數論中，恩布里-特雷費森常數（Embree-Trefeth ...... 名是來自應用數學家馬克·恩布里及勞埃德·尼古拉斯·特雷費森。
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label
Costante di Embree-Trefethen
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Embree-Trefethen-Konstante
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Embree–Trefethen constant
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恩布里-特雷費森常數
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