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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 wellknown Li–Yau’s gradient estimate. As a byproduct 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 wellknown Li–Yau’s gradient estimate. As a byproduct we obtain the sharp
On the cardyverlinde entropy formula in viscous cosmology
 Phys. Rev
"... The results of the paper of Verlinde [hepth/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 nonconformally invariant theory. The generalization of the CardyVerlinde 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 nonconformally invariant
The Entropy Formula for SRBMeasures of Lattice Dynamical Systems
, 1998
"... . In this article we give the detailed proof of the entropy formula for SRBmeasures of coupled hyperbolic map lattices. We show that the topological pressure for the potential function of the SRBmeasure is zero. 1. Introduction We proved in [2] that the thermodynamic limit of SinaiRuelleBowen 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 SRBmeasures of coupled hyperbolic map lattices. We show that the topological pressure for the potential function of the SRBmeasure is zero. 1. Introduction We proved in [2] that the thermodynamic limit of Sinai
Macroscopic Entropy Formulae and NonHolomorphic Corrections for Supersymmetric Black Holes
, 1999
"... In fourdimensional N = 2 compactifications of string theory or Mtheory, modifications of the BekensteinHawking area law for black hole entropy in the presence of higherderivative 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 LedrappierYoung type for invariant measures (maybe nonSRB) of C² endomorphisms (maybe noninvertible 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 LedrappierYoung type for invariant measures (maybe nonSRB) of C² endomorphisms (maybe noninvertible 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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1,053