It takes the average reader 3 hours and 32 minutes to read The Geometry of Dynamical Triangulations by Jan Ambjorn
Assuming a reading speed of 250 words per minute. Learn more
The express purpose of these lecture notes is to go through some aspects of the simplicial quantum gravity model known as the dynamical triangula tions approach. Emphasis has been on laying the foundations of the theory and on illustrating its subtle and often unexplored connections with many distinct mathematical fields ranging from global Riemannian geometry, to moduli theory, number theory, and topology. Our exposition will concentrate on these points so that graduate students may find in these notes a useful exposition of some of the rigorous results one can -establish in this field and hopefully a source of inspiration for new exciting problems. We try as far as currently possible to expose the interplay between the analytical aspects of dynamical triangulations and the results of Monte Carlo simulations. The techniques described here are rather novel and allow us to address points of current interest in the subject of simplicial quantum gravity while requiring very little in the way of fancy field-theoretical arguments. As a consequence, these notes contain mostly original and until now unpublished material, which will hopefully be of interest both to the expert practitioner and to graduate students entering the field. Among the topics addressed here in considerable detail are the following. (i) An analytical discussion of the geometry of dynamical triangulations in dimensions n == 3 and n == 4.
The Geometry of Dynamical Triangulations by Jan Ambjorn is 207 pages long, and a total of 53,199 words.
This makes it 70% the length of the average book. It also has 65% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 50 minutes to read The Geometry of Dynamical Triangulations aloud.
The Geometry of Dynamical Triangulations is suitable for students ages 12 and up.
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