Packing,counting and covering Hamilton cycles in random directed graphs |
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Authors: | Asaf Ferber Gal Kronenberg Eoin Long |
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Institution: | 1.Department of Mathematics,Birla Institute of Technology and Sscience—Pilani,Goa,India;2.Department of Mathematics,Indian Institute of Science,Bangalore,India |
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Abstract: | In this paper we study the chaotic behavior of the heat semigroup generated by the Dunkl-Laplacian on weighted L p spaces. In the case of the heat semigroup associated to the standard Laplacian we obtain a complete picture on the spaces L p (R n , (φ iρ (x))2 dx) where φ iρ is the Euclidean spherical function. The behavior is very similar to the case of the Laplace–Beltrami operator on non-compact Riemannian symmetric spaces studied by Pramanik and Sarkar. |
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