IFLYSIB   05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
artículos
Título:
On nultifractal rigidity
Autor/es:
MESON, ALEJANDRO M.; VERICAT, FERNANDO
Revista:
MATHEMATICAL PHYSICS, ANALYSIS AND GEOMETRY
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2011 vol. 14 p. 295 - 320
ISSN:
1385-0172
Resumen:
We analyze when a multifractal spectrum can be used to recover the potential. This phenomenon is known as multifractal rigidity. We prove that for a certain class of potentials the multifractal spectrum of local entropies uniquely determines their equilibrium states. This leads to a classification which identifies two systems up to a change of variables.