Topological Horseshoes and Coin-Tossing Dynamics

2014 ◽  
pp. 29-53
Author(s):  
Lakshmi Burra
Keyword(s):  
Coin Tossing ◽  
Topological Horseshoes

Runs in Coin Tossing: Randomness Revealed

2002 ◽  
Vol 33 (5) ◽  
pp. 391 ◽  
Author(s):  
Geoffrey C. Berresford
Keyword(s):  
Coin Tossing

scholarly journals Coin Tossing is Strictly Weaker than Bit Commitment

1999 ◽  
Vol 83 (25) ◽  
pp. 5382-5384 ◽  
Author(s):  
Adrian Kent
Keyword(s):  
Bit Commitment ◽  
Coin Tossing

Topological horseshoes in continuous maps

2007 ◽  
Vol 33 (1) ◽  
pp. 225-233 ◽  
Author(s):  
Xiao-Song Yang
Keyword(s):  
Continuous Maps ◽  
Topological Horseshoes

Optimally-secure Coin-tossing against a Byzantine Adversary

2021 ◽  
Author(s):  
Hamidreza Amini Khorasgani ◽  
Hemanta K. Maji ◽  
Mingyuan Wang
Keyword(s):  
Coin Tossing

A Remark on Disintegrations With Almost All Components Non -Additive

1979 ◽  
Vol 31 (4) ◽  
pp. 786-788 ◽  
Author(s):  
Nghiem Dang-Ngoc
Keyword(s):  
Real Function ◽  
Measure Space ◽  
Gibbs States ◽  
List Type ◽  
Additive Measure ◽  
Finitely Additive Measure ◽  
Coin Tossing ◽  
Definition Of ◽  
Almost All

We extend a theorem of L. E. Dubins on “purely finitely additive disintegrations” of measures (cf. [4]) and apply this result to the disintegrations of extremal Gibbs states with respect to the asymptotic algebra enlarging another result of L. E. Dubins on the symmetric coin tossing game.We recall the following definition of L. E. Dubins (cf. [3], [4]): Let (X , , μ) be a measure space, a sub σ-algebra of . A real function σx (A), is called a measurable-disintegration of μ if:(i) ∀x ∊ X , σx(.) is a finitely additive measure .(ii) ∀A ∊ , σ. (A) is constant on each -atom.(iii) For each A ∊ , σ. (A) is measurable with respect to the completion of by μ and (iv)σx(B) = 1 if x ∊ B ∊ .

On the Fourier transform of coin-tossing type measures

2020 ◽  
Vol 484 (1) ◽  
pp. 123706 ◽  
Author(s):  
Xiang Gao ◽  
Jihua Ma ◽  
Kunkun Song ◽  
Yanfang Zhang
Keyword(s):  
Fourier Transform ◽  
Coin Tossing ◽  
The Fourier Transform

NOTE ON FOURIER–STIELTJES COEFFICIENTS OF COIN-TOSSING MEASURES

2020 ◽  
Vol 102 (3) ◽  
pp. 479-489
Author(s):  
XIANG GAO ◽  
SHENGYOU WEN
Keyword(s):  
Number Theory ◽  
Lower Bound ◽  
Transcendental Number ◽  
Linear Forms In Logarithms ◽  
Multiplicative Semigroup ◽  
Linear Forms ◽  
Coin Tossing

It is known that the Fourier–Stieltjes coefficients of a nonatomic coin-tossing measure may not vanish at infinity. However, we show that they could vanish at infinity along some integer subsequences, including the sequence ${\{b^{n}\}}_{n\geq 1}$ where $b$ is multiplicatively independent of 2 and the sequence given by the multiplicative semigroup generated by 3 and 5. The proof is based on elementary combinatorics and lower-bound estimates for linear forms in logarithms from transcendental number theory.

Permutations and Coin-Tossing Sequences

2001 ◽  
Vol 74 (1) ◽  
pp. 55-57
Author(s):  
David Callan
Keyword(s):  
Coin Tossing

scholarly journals Deterministic coin tossing with applications to optimal parallel list ranking

1986 ◽  
Vol 70 (1) ◽  
pp. 32-53 ◽  
Author(s):  
Richard Cole ◽  
Uzi Vishkin
Keyword(s):  
List Ranking ◽  
Coin Tossing
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