The spectral gap of two dimensional Ising model with a hole: Shrinking effect of contours

Wang, Jun

Wang, Jun

J. Math. Kyoto Univ., Tome 39 (1999) no. 4, p. 529-556 / Harvested from Project Euclid

Résumé

We consider the spectral gap of the two demensional Ising model on a special graph with some special boundary conditions. The special graph is a finite square with a square hole on its center part, that is, we consider a finite square of side $2L +1$, and we remove another smaller finite square of side $2L_{1} +1(L_{1}

Publié le : 1999-05-15
Classification: 82B20, 60K35, 82C20

@article{1250517867,
     author = {Wang, Jun},
     title = {The spectral gap of two dimensional Ising model with a hole: Shrinking effect of contours},
     journal = {J. Math. Kyoto Univ.},
     volume = {39},
     number = {4},
     year = {1999},
     pages = { 529-556},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250517867}
}

Wang, Jun. The spectral gap of two dimensional Ising model with a hole: Shrinking effect of contours. J. Math. Kyoto Univ., Tome 39 (1999) no. 4, pp.  529-556. http://gdmltest.u-ga.fr/item/1250517867/