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Uniform distribution
 In Equidistribution in Number Theory, An Introduction, volume 237 of NATO Science Series II: Mathematics, Physics and Chemistry
, 2007
"... 1. Uniform distribution mod one At primary school the first author was taught to estimate the area of a (convex) body by drawing it on a piece of graph paper, and then counting the number of (unit) squares inside. There is obviously a little ambiguity in deciding how to count the squares which strad ..."
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1. Uniform distribution mod one At primary school the first author was taught to estimate the area of a (convex) body by drawing it on a piece of graph paper, and then counting the number of (unit) squares inside. There is obviously a little ambiguity in deciding how to count the squares which
Uniform Distributions
, 2006
"... ii The von Mises distribution is often useful for modelling circular data problems. We consider a model for which von Mises data is contaminated with a certain proportion of points uniformly distributed around the circle. Maximum likelihood estimation is used to produce parameter estimates for this ..."
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ii The von Mises distribution is often useful for modelling circular data problems. We consider a model for which von Mises data is contaminated with a certain proportion of points uniformly distributed around the circle. Maximum likelihood estimation is used to produce parameter estimates
The Uniform Distribution in Incentive Dynamics
, 2014
"... The uniform distribution is an important counterexample in game theory as many of the canonical game dynamics have been shown not to converge to the equilibrium in certain cases. In particular none of the canonical game dynamics converge to the uniform distribution in a form of rockpaperscissors w ..."
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The uniform distribution is an important counterexample in game theory as many of the canonical game dynamics have been shown not to converge to the equilibrium in certain cases. In particular none of the canonical game dynamics converge to the uniform distribution in a form of rock
On the Uniform Distribution of Strings
"... Abstract. In this paper, we propose the definition of a measure for sets of strings of length not greater than a given number. This measure leads to an instanciation of the uniform distribution definition in sets of such limitedsize strings, for which we provide a linear time complexity generative ..."
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Abstract. In this paper, we propose the definition of a measure for sets of strings of length not greater than a given number. This measure leads to an instanciation of the uniform distribution definition in sets of such limitedsize strings, for which we provide a linear time complexity generative
Uniform Distribution and the Schur Subgroup
 J. Algebra
, 1976
"... In this paper we continue the investigation into the group of algebras with uniformly distributed invariants U(K), and its relation to the Schur subgroup, undertaken in [9]. The notation is the same as in [9]. In the first section we investigate the index 1 U(K), : S(K), 1 where q is an ..."
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In this paper we continue the investigation into the group of algebras with uniformly distributed invariants U(K), and its relation to the Schur subgroup, undertaken in [9]. The notation is the same as in [9]. In the first section we investigate the index 1 U(K), : S(K), 1 where q is an
On the uniform distribution of some sequences
 J. London Math. Soc
, 1976
"... In this paper it is shown that the sequence {py} (p runs through the prime numbers) is uniformly distributed mod 1, if y is greater than one and not an integer. The method used here is a modification of that of PjateckijShapiro in [1], to estimate the sum 2\<P«2N e{kpy). 1. ..."
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In this paper it is shown that the sequence {py} (p runs through the prime numbers) is uniformly distributed mod 1, if y is greater than one and not an integer. The method used here is a modification of that of PjateckijShapiro in [1], to estimate the sum 2\<P«2N e{kpy). 1.
Uniform distribution of Heegner points
 Invent. math
"... Let E be a (modular!) elliptic curve over Q, of conductor N. Let K denote an imaginary quadratic field of discriminant D, with (N, D) = 1. If p is a prime, then there exists a unique Zpextension K∞/K such that Gal(K/Q) acts nontrivially on Gal(K∞/K). The field K ∞ is called the anticyclotomic Zpe ..."
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Let E be a (modular!) elliptic curve over Q, of conductor N. Let K denote an imaginary quadratic field of discriminant D, with (N, D) = 1. If p is a prime, then there exists a unique Zpextension K∞/K such that Gal(K/Q) acts nontrivially on Gal(K∞/K). The field K ∞ is called the anticyclotomic Zpextension of K. Let E(K∞) denote the MordellWeil group of E over K∞. Then a fundamental
Results 1  10
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19,010