We analyze the Landau problem and quantum Hall effect on S 3 taking a constant background field proportional to the spin connection on S 3. The effective strength of the field can be tuned by changing the dimension of the representation to which the fermions belong. The effective action for the edge excitations of a quantum Hall droplet in the limit of a large number of fermions is obtained. We...

We characterise the subgame perfect equilibrium of a di¤erential market game with hyperbolic inverse demand where …rms are quantity-setters and accumulate capacity over time à la Ramsey. The related Hamilton-JacobiBellman are solved in closed form both on in…nite and on …nite horizon setups and the optimal strategies are determined. Then, we analyse the feasibility of horizontal mergers in both...

I elaborate on the earlier suggestion that the model describing the plateaux transition in Integer Quantum Hall effect scales to a particular point on the line of critical points of a theory with a higher symmetry.

We show how to calculate the encountered wave period distribution for a ship traveling with constant speed on a Gaussian random sea with a directionally distributed frequency spectrum.  1998 Elsevier Science Ltd. All rights reserved.

The Hall conductivity in the magnetic-field-induced spin-density-wave (FISDW) state of the quasi-onedimensional organic conductors (TMTSF)2X at a finite temperature is calculated. The temperature dependence of the Hall conductivity is found to be the same as the temperature dependence of the Fröhlich current of a regular charge/spin-density wave. Predicted dependence σxy(T ) can be verified exp...