Colored Discrete Spaces is popular PDF and ePub book, written by Luca Lionni in 2018-08-01, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Colored Discrete Spaces can be Read Online from any device for your convenience.
Colored Discrete Spaces Book PDF Summary
This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random space-time. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked two-dimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail.
Detail Book of Colored Discrete Spaces PDF
- Author : Luca Lionni
- Release : 01 August 2018
- Publisher : Springer
- ISBN : 9783319960234
- Genre : Science
- Total Page : 218 pages
- Language : English
- PDF File Size : 18,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Colored Discrete Spaces by Luca Lionni, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.