Macdonald polynomials are a remarkable family of orthogonal symmetric polynomials in several variables. Featured on Meta. I will then move onto percolation models in dependent media which pose new challenges to overcome. Cases where u can be rough belong to fractional Hoelder space are of interest.
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This will be an elementary introduction to the Calculus of Variations , a mathematical theory that provides the basis for understanding physical phenomena. Aside from the interesting mathematical phenomenon we reveal here, the results of this paper can also be used to analyze the homology of the random Vietoris-Rips complex via spectral methods.
We shall provide such an explicit upper bound.