Plaquettes, Spheres, and Entanglement - Mathematics > ProbabilityReportar como inadecuado




Plaquettes, Spheres, and Entanglement - Mathematics > Probability - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: The high-density plaquette percolation model in d dimensions contains asurface that is homeomorphic to the d-1-sphere and encloses the origin. Thisis proved by a path-counting argument in a dual model. When d=3, this permitsan improved lower bound on the critical point p e of entanglement percolation,namely p e >= \mu^-2 where \mu is the connective constant for self-avoidingwalks on Z^3. Furthermore, when the edge density p is below this bound, theradius of the entanglement cluster containing the origin has an exponentiallydecaying tail.



Autor: Geoffrey R. Grimmett, Alexander E. Holroyd

Fuente: https://arxiv.org/







Documentos relacionados