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On the spectral analysis of second-order Markov chains
second order Markov chains trajectorial reversibility spectrum of non-reversible Markov kernels spectral gap improvement of speed of convergence discrete position-speed Markov chains homogeneous and Abelian second order Markov chains
2015/7/7
Second order Markov chains which are trajectorially reversible are considered. Contrary to the reversibility notion for usual Markov chains, no symmetry property can be deduced for the corresponding t...
A Spectral Analysis Approach for Experimental Designs
In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techiques for studying data from designed experiments. Several examples are worked out in detail including a thorough analysis of Calvin's famous ice cream data.
2015/7/7
In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techiques for studying data from designed experiments.Several examples are worked out in detail, includ...
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
Self-adjoint extensions spectral analysis generalized Kratzer problem
2010/12/13
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field V (x) = g1x−1 + g2x−2, x 2 R+ = [0,1) .Fo...