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THE DISTRIBUTION OF LEADING DIGITS AND UNIFORM DISTRIBUTION MOD
Arithmetic sequence theory triangular array coefficient of letters
2015/7/15
The lead digit behavior of a large class of arithmetic sequences is de-
termined by using results from the theory of uniform distribution mod I.
Theory for triangular arrays is developed and appli...
Exponential Convergence to the Maxwell Distribution For Some Class of Boltzmann Equations
Exponential Convergence the Maxwell Distribution
2010/11/23
We consider a class of nonlinear Boltzmann equations describing return to thermal equilibrium in a gas of colliding particles suspended in a thermal medium. We study solutions in the space $L^{1}(\ma...
A note about the uniform distribution on the intersection of a simplex and a sphere
uniform distribution sphere
2010/11/23
Uniform probability distributions on $\ell_p$ balls and spheres have been studied extensively and are known to behave like product measures in high dimensions. In this note we consider the uniform di...