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4 papers · 2 filters
A continuum of pure states in the Ising model on a halfplane
Douglas Abraham, Charles M. Newman, Senya Shlosman
We study the homogeneous nearest-neighbor Ising ferromagnet on the right half plane with a Dobrushin type boundary condition --- say plus on the top part of the boundary and minus…
A renormalisation group approach to the universality of Wigner's semicircle law for random matrices with dependent entries
Thomas Krajewski
We show that if the non Gaussian part of the cumulants of a random matrix model obey some scaling bounds in the size of the matrix, then Wigner's semicircle law holds. This result…
Crystals in the Void
Senya Shlosman
We study the problem of the crystal formation in the vacuum.
Remarks on the operator-norm convergence of the Trotter product formula
Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov
We revise the operator-norm convergence of the Trotter product formula for a pair {A,B} of generators of semigroups on a Banach space. Operator-norm convergence holds true if the d…