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PIECES OF NILPOTENT CONES FOR CLASSICAL GROUPS
Nilpotent cone orbit nilpotent cone the number of dollars
2014/12/24
We compare orbits in the nilpotent cone of type $B_n$, that of type $C_n$, and Kato's exotic nilpotent cone. We prove that the number of $\F_q$-points in each nilpotent orbit of type $B_n$ or $C_n$ eq...
Entropic fluctuations in statistical mechanics: I. Classical dynamical systems
Dynamic system theory the steady state the theorem of equilibrium statistical mechanics mathematical structure fluctuation quantum statistical mechanics
2014/12/24
Within the abstract framework of dynamical system theory we describe a general approach to the transient (or Evans–Searles) and steady state (or Gallavotti–Cohen) fluctuation theorems of non-equilibri...
Chi-square Intervals for a Poisson Parameter - Bayes, Classical and Structural
Confidence interval coverage probability estimation interval Poisson
2011/3/18
The 'standard' confidence interval for a Poisson parameter is only one of a number of estimation intervals based on the chi-square distribution that may be used in the estimation of the mean or mean r...