7,569 research outputs found
Multifractal dimensions for all moments for certain critical random matrix ensembles in the strong multifractality regime
We construct perturbation series for the q-th moment of eigenfunctions of
various critical random matrix ensembles in the strong multifractality regime
close to localization. Contrary to previous investigations, our results are
valid in the region q<1/2. Our findings allow to verify, at first leading
orders in the strong multifractality limit, the symmetry relation for anomalous
fractal dimensions Delta(q)=Delta(1-q), recently conjectured for critical
models where an analogue of the metal-insulator transition takes place. It is
known that this relation is verified at leading order in the weak
multifractality regime. Our results thus indicate that this symmetry holds in
both limits of small and large coupling constant. For general values of the
coupling constant we present careful numerical verifications of this symmetry
relation for different critical random matrix ensembles. We also present an
example of a system closely related to one of these critical ensembles, but
where the symmetry relation, at least numerically, is not fulfilled.Comment: 12 pages, 12 figure
Report drawn up on behalf of the Committee on Regional Policy, Regional Planning and Transport on the proposal from the Commission of the European Communities to the Council (Doc. 283/77) for a regulation amending Regulation (EEC) No. 3164/76 on the Community quota for the carriage of goods by road between Member States. EP Working Documents 1977-1978, Document 380/77. 16 November 1977
Report drawn up on behalf of the Committee on Regional Policy, Regional Planning and Transport on the proposal from the Commission of the European Communities to the Council (Doc. 324/75/1) for a directive on the establishment of common rules for certain types of carriage of goods by road between Member States. EP Working Documents, document 348/76, 11 October 1976
Report drawn up on behalf of the Committee on Energy, Research and Technology on the communications from the Commission of the European Communities to the Council (Doc. 175/72-a and b) on a) the progress necessary in Community energy policy b) energy policy: problems and resources 1975 - 1985. EP Working Document, Document 1973-1974 36/73, 7 May 1973
Report drawn up on behalf of the Committee on Regional Policy and Transport on problems of EEC transit traffic through Austria and Switzerland. EP Working Documents 1975-76, document 500/75, 2 February 1976
Existence of a Density Functional for an Intrinsic State
A generalization of the Hohenberg-Kohn theorem proves the existence of a
density functional for an intrinsic state, symmetry violating, out of which a
physical state with good quantum numbers can be projected.Comment: 6 page
Report drawn up on behalf of the Committee on Energy, Research and Technology on the communication from the Commission of the European Communities to the Council Towards a Community nuclear fuel supply policy. EP Working Document, Document 1975-1976 25/75, 7 April 1975
Report drawn up on behalf of the Committee on Regional Policy and Transport on the proposal from the Commission of the European Communities to the Council (Doc. 120/74) for a regulation extending and modifying Regulation (EEC) no. 2829/72 of the Council, of 28 December 1972, regarding the Community quota for the carriage of goods by road between Member States. EP Working Document, Document 1974-1975 157/74, 26 June 1974
Report drawn up on behalf of the Committee on Energy and Research on the adoption of and the prospects for a system of basic prices for imported primary energy sources within the framework of a Community energy policy. EP Working Documents 1976-77, Document 530/76, 2 February 1977
- …