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- Embree–Trefethen_constant abstract "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 limitexists 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,so solutions to this recurrence decay exponentially as n→∞ with probability 1, andσ > 1 for β* < β,so they grow exponentially.Regarding values of σ, we have: σ(1) = 1.13198824... (Viswanath's constant), and σ(β*) = 1.The constant is named after applied mathematicians Mark Embree and Lloyd N. Trefethen.".
- Embree–Trefethen_constant wikiPageID "621604".
- Embree–Trefethen_constant wikiPageRevisionID "593734589".
- Embree–Trefethen_constant title "Random Fibonacci Sequence".
- Embree–Trefethen_constant urlname "RandomFibonacciSequence".
- Embree–Trefethen_constant subject Category:Mathematical_constants.
- Embree–Trefethen_constant subject Category:Recurrence_relations.
- Embree–Trefethen_constant comment "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 limitexists almost surely.".
- Embree–Trefethen_constant label "Costante di Embree-Trefethen".
- Embree–Trefethen_constant label "Embree-Trefethen-Konstante".
- Embree–Trefethen_constant label "Embree–Trefethen constant".
- Embree–Trefethen_constant label "恩布里-特雷費森常數".
- Embree–Trefethen_constant sameAs Embree%E2%80%93Trefethen_constant.
- Embree–Trefethen_constant sameAs Embree-Trefethen-Konstante.
- Embree–Trefethen_constant sameAs Costante_di_Embree-Trefethen.
- Embree–Trefethen_constant sameAs Q449164.
- Embree–Trefethen_constant sameAs Q449164.
- Embree–Trefethen_constant wasDerivedFrom Embree–Trefethen_constant?oldid=593734589.