What was noticed by him is that the K4 crystal has the "strong isotropy property", meaning that for any two vertices x and y of the crystal net, and for any ordering of the edges adjacent to x and any ordering of the edges adjacent to y, there is a net-preserving congruence taking x to y and each x-edge to the similarly ordered y-edge. Main work[ edit ] Sunada's work covers complex analytic geometry , spectral geometry , dynamical systems , probability , graph theory , and discrete geometric analysis. Vajratara, Sheffield, UK FBA is a vast mine of jewels, a fantastic resource for those looking for a spiritual perspective. Sunada, Closed orbits in homology classes, Publ. It never needs to stop

What was noticed by him is that the K4 crystal has the "strong isotropy property", meaning that for any two vertices x and y of the crystal net, and for any ordering of the edges adjacent to x and any ordering of the edges adjacent to y, there is a net-preserving congruence taking x to y and each x-edge to the similarly ordered y-edge. Main work[ edit ] Sunada's work covers complex analytic geometry , spectral geometry , dynamical systems , probability , graph theory , and discrete geometric analysis. Vajratara, Sheffield, UK FBA is a vast mine of jewels, a fantastic resource for those looking for a spiritual perspective. Sunada, Closed orbits in homology classes, Publ. It never needs to stop

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