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- University of California, BerkeleyUS52 papers
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6 papers · 1 filter
P(phi)_2 quantum field theories and Segal's axioms
Doug Pickrell
We show that P(phi)_2 quantum field theories satisfy axioms of the type advocated by Graeme Segal.
Mott transition in lattice boson models
Roberto Fernandez, Juerg Froehlich, Daniel Ueltschi
We use mathematically rigorous perturbation theory to study the transition between the Mott insulator and the conjectured Bose-Einstein condensate in a hard-core Bose-Hubbard model…
An invariant measure for the loop space of a simply connected compact symmetric space
Doug Pickrell
Let X denote a simply connected compact Riemannian symmetric space, U the universal covering of the identity component of the group of automorphisms of X, and LU the loop group of…
Segregation in the asymmetric Hubbard model
Daniel Ueltschi
We study the `asymmetric' Hubbard model, where hoppings of electrons depend on their spin. For strong interactions and sufficiently asymmetric hoppings, it is proved that the groun…
On Crossing Event Formulas in Critical Two-Dimensional Percolation
Robert S. Maier
Several formulas for crossing functions arising in the continuum limit of critical two-dimensional percolation models are studied. These include Watts's formula for the horizontal-…
Positive Measure Spectrum for Schroedinger Operators with Periodic Magnetic Fields
Michael J Gruber
We study Schroedinger operators with periodic magnetic field in Euclidean 2-space, in the case of irrational magnetic flux. Positive measure Cantor spectrum is generically expected…