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10 papers · 1 filter
New percolation crossing formulas and second-order modular forms
Nikolaos Diamantis, Peter Kleban
We consider the three new crossing probabilities for percolation recently found via conformal field theory by Simmons, Kleban and Ziff. We prove that all three of them (i) may be s…
Anomaly-free singularities in the generalized Kohn variational method
J. N. Cooper, E. A. G. Armour, M. Plummer
We have carried out an analysis of singularities in Kohn variational calculations for low energy e^{+}-H_{2} elastic scattering. Provided that a sufficiently accurate trial wavefun…
On the mean density of complex eigenvalues for an ensemble of random matrices with prescribed singular values
Yi Wei, Yan V. Fyodorov
Given any fixed positive semi-definite diagonal matrix we derive the explicit formula for the density of complex eigenvalues for random matrices of the fo…
Hyperbolic Hubbard-Stratonovich transformation made rigorous
Y. V. Fyodorov, Y. Wei, M. R. Zirnbauer
We revisit a long standing issue in the theory of disordered electron systems and their effective description by a non-linear sigma model: the hyperbolic Hubbard-Stratonovich (HS)…
Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals
C. Lehner, T. Wettig, T. Guhr +1
We introduce an extension of the character expansion method to the case of supergroups. This method allows us to calculate a superversion of the Leutwyler-Smilga integral which, to…
Stationary solutions of driven fourth- and sixth-order Cahn-Hilliard type equations
M. D. Korzec, P. L. Evans, A. Münch +1
New types of stationary solutions of a one-dimensional driven sixth-order Cahn-Hilliard type equation that arises as a model for epitaxially growing nano-structures such as quantum…