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1,053
The entropy formula for linear heat equation
- J. Geom. Anal
, 2004
"... ABSTRACT. We add two sections to [8] and answer some questions asked there. In the first section we give another derivation of Theorem 1.1 of [8], which reveals the relation between the entropy formula, (1.4) of [8], and the well-known Li–Yau’s gradient estimate. As a by-product we obtain the sharp ..."
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Cited by 38 (11 self)
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ABSTRACT. We add two sections to [8] and answer some questions asked there. In the first section we give another derivation of Theorem 1.1 of [8], which reveals the relation between the entropy formula, (1.4) of [8], and the well-known Li–Yau’s gradient estimate. As a by-product we obtain the sharp
On the cardy-verlinde entropy formula in viscous cosmology
- Phys. Rev
"... The results of the paper of Verlinde [hep-th/0008140], discussing the holographic principle in a radiation dominated universe, are extended when allowing the cosmic fluid to possess a bulk viscosity. This corresponds to a non-conformally invariant theory. The generalization of the Cardy-Verlinde ent ..."
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Cited by 4 (0 self)
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-Verlinde entropy formula to the case of a viscous universe seems from a formal point of view to be possible, although we question on physical grounds some elements in this kind of theory, especially the manner in which the Casimir energy is evaluated. Our discussion suggests that for non-conformally invariant
The Entropy Formula for SRB-Measures of Lattice Dynamical Systems
, 1998
"... . In this article we give the detailed proof of the entropy formula for SRB-measures of coupled hyperbolic map lattices. We show that the topological pressure for the potential function of the SRB-measure is zero. 1. Introduction We proved in [2] that the thermodynamic limit of Sinai-Ruelle-Bowen m ..."
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Cited by 1 (1 self)
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. In this article we give the detailed proof of the entropy formula for SRB-measures of coupled hyperbolic map lattices. We show that the topological pressure for the potential function of the SRB-measure is zero. 1. Introduction We proved in [2] that the thermodynamic limit of Sinai
Macroscopic Entropy Formulae and Non-Holomorphic Corrections for Supersymmetric Black Holes
, 1999
"... In four-dimensional N = 2 compactifications of string theory or M-theory, modifications of the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions are crucial for finding agreement between the macroscopic entropy obtained from supergravity and sublead ..."
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Cited by 99 (8 self)
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such corrections into macroscopic entropy formulae so as to render them invariant under duality transfo...
ENTROPY FORMULA FOR ENDOMORPHISMS: RELATIONS BETWEEN ENTROPY, EXPONENTS AND DIMENSION
, 2008
"... We present an entropy formula of Ledrappier-Young type for invariant measures (maybe non-SRB) of C² endomorphisms (maybe non-invertible and with singularities) on a compact manifold via their inverse limit spaces. This result may be considered as the most general form of entropy formula for a determ ..."
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Cited by 1 (0 self)
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We present an entropy formula of Ledrappier-Young type for invariant measures (maybe non-SRB) of C² endomorphisms (maybe non-invertible and with singularities) on a compact manifold via their inverse limit spaces. This result may be considered as the most general form of entropy formula for a
Results 1 - 10
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