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Dvoretzky--Kiefer--Wolfowitz Inequalities for the Two-sample Case
Kolmogorov–Smirnov test empirical distribution functions Statistics Theory
2011/9/21
Abstract: The Dvoretzky--Kiefer--Wolfowitz (DKW) inequality says that if $F_n$ is an empirical distribution function for variables i.i.d.\ with a distribution function $F$, and $K_n$ is the Kolmogorov...
The Universal Arrow of Time II: Quantum mechanics case
Quantum mechanics The Universal Arrow of Time chaotic macroscopic systems classical Hamilton mechanics
2011/7/7
The given paper is natural continuation of our previous paper arXiv:1011.4173 We have illustrated earlier, that in the classical Hamilton mechanics for an overwhelming majority of real chaotic macrosc...
On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture
On blocks stably equivalent to a quantum complete intersection of dimension 9 characteristic abelian defect group conjecture
2011/1/17
Using a stable equivalence due to Rouquier, we prove that Brou´e’s abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of sim...
On modelling transitional turbulent flows using under-resolved direct numerical simulations: The case of plane Couette flow
Pattern Formation and Solitons (nlin.PS) Fluid Dynamics (physics.flu-dyn)
2010/11/10
Direct numerical simulations have proven of inestimable help to our understanding of the transition to turbulence in wall-bounded flows. While the dynamics of the transition from laminar flow to turbu...
In the conviction of Lucia de Berk an important role was played by a simple hypergeometric model, used by the expert consulted by the court, which produced very small probabilities of occurrences of c...