Percolation On Triangulations A Bijective Path To Liouville Quantum Gravity
Percolation On Triangulations A Bijective Path To Liouville Quantum Gravity Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Percolation On Triangulations A Bijective Path To Liouville Quantum Gravity book. This book definitely worth reading, it is an incredibly well-written.
These Lecture Notes provide an introduction to the study of those discrete surfaces which are obtained by randomly gluing polygons along their sides in a plane. The focus is on the geometry of such random planar maps (diameter, volume growth, scaling and local limits...) as well as the behavior of statistical mechanics models on them (percolation, simple random walks, self-avoiding random walks...). A “Markovian” approach is adopted to explore these random discrete surfaces, which is then related to the analogous one-dimensional random walk processes. This technique, known as "peeling exploration" in the literature, can be seen as a generalization of the well-known coding processes for random trees (e.g. breadth first or depth first search). It is revealed that different types of Markovian explorations can yield different types of information about a surface. Based on an École d'Été de Probabilités de Saint-Flour course delivered by the author in 2019, the book is aimed at PhD students and researchers interested in graph theory, combinatorial probability and geometry. Featuring open problems and a wealth of interesting figures, it is the first book to be published on the theory of random planar maps.
Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity by Mathias Pétréolle,Alan D. Sokal,Bao-Xuan Zhu Pdf
Martin W. Liebeck,Gary M. Seitz,Donna M. Testerman
Author : Martin W. Liebeck,Gary M. Seitz,Donna M. Testerman Publisher : American Mathematical Society Page : 282 pages File Size : 49,8 Mb Release : 2024-03-18 Category : Mathematics ISBN : 9781470469054