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# Search results

32,029 records were found.

## Self-Averaging Identities for Random Spin Systems

Comment: 26 pages

## Review of the FoPL paper [1] The Evans Lemma of Differential Geometry

The Evans Lemma is basic for Myron W. Evans' GCUFT or ECE Theory. Evans has given two proofs of his Lemma. Both proofs are shown here to be in error and beyond repair.

## Kepler Problem in the Constant Curvature Space

Comment: 11 pages

## The Hilbert 3/2 Structure and Weil-Petersson Metric on the Space of the Diffeomorphisms of the Circle Modulo Conformal Maps

Comment: A refernce to a Corollary was corrected

## A classification of Lie algebras of pseudounitary groups in the techniques of Clifford algebras

Comment: 18 pages

## Rational Approximation for Two-Point Boundary value problems

We propose a method for the treatment of two--point boundary value problems given by nonlinear ordinary differential equations. The approach leads to sequences of roots of Hankel determinants that converge rapidly towards the unknown parameter of the problem. We treat several problems of physical interest: the field equation determining the vortex profile in a Ginzburg--Landau effective theory, the fixed--point equation for Wilson's exact renormalization group, a suitably modified Wegner--Houghton's fixed point equation in the local potential approximation, a Riccati equation, and the Thomas--Fermi equation. We consider two models where the approach does not apply in order to show the limitations of our Pad\'{e}--Hankel approach.

## Squares of White Noise, SL(2,C) and Kubo - Martin -Schwinger States

We investigate the structure of Kubo - Martin - Schwinger (KMS) states on some extension of the universal enveloping algebra of SL(2,C}. We find that there exists a one-to-one correspondence between the set of all covariant KMS states on this algebra and the set of all probability measures d\mu on the real half-line, which decrease faster than any inverse polynomial. This problem is connected to the problem of KMS states on square of white noise algebra.

## Symmetrized models of last passage percolation and non-intersecting lattice paths

Comment: 21 pages, 5 figures

## Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions

Comment: 19 pages

## $PT$ symmetric non-selfadjoint operators, diagonalizable and non-diagonalizable, with real discrete spectrum

Comment: 20 pages