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SCHOLARPEDIA
2008
13 years 7 months ago
2008
We demonstrate how Sakharov's idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity b...
SCHOLARPEDIA
2008
13 years 7 months ago
2008
We consider an ergodic process on finitely many states, with positive entropy. Our first main result asserts that the distribution function of the normalized waiting time for the f...
SCHOLARPEDIA
2008
13 years 7 months ago
2008
A new method for automatic indexing and retrieval is described. The approach is to take advantage of implicit higher-order structure in the association of terms with documents (&q...
SCHOLARPEDIA
2008
13 years 5 months ago
2008
ABSTRACT. We discuss a special eigenstate of the quantized periodic CalogeroMoser system associated to a root system. This state has the property that its eigenfunctions, when rega...
SCHOLARPEDIA
2008
13 years 7 months ago
2008
In his book "Consciousness Explained"[2], Daniel Dennett explores some of what he perceives are the weaknesses in current models of cognition, and tries to provide an alt...