Publicación: LOGARITHMIC EXPANSION, ENTROPY, AND DIMENSION FOR SET-VALUED MAPS (TRADUCIDO DEL RUSO)
Fecha
2023
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JOURNAL OF MATHEMATICAL SCIENCES
Resumen
WE OBTAIN A LOWER BOUND FOR THE ENTROPY OF A BOREL PROBABILITY MEASURE (NOT NECESSARILY INVARIANT) WITH RESPECT TO AN UPPER SEMICONTINUOUS SET-VALUED MAP AS THE PRODUCT OF THE LOWER DIMENSION OF THE MEASURE AND THE LOGARITHMIC EXPANSION RATE. THIS IS A GENERALIZATION OF THE WELL-KNOWN MEASURE-PRESERVING SINGLE-VALUED CASE.
