Percolation On Triangulations A Bijective Path To Liouville Quantum Gravity
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Author | : Olivier Bernardi |
Publisher | : American Mathematical Society |
Total Pages | : 188 |
Release | : 2023-09-27 |
Genre | : Mathematics |
ISBN | : 1470466996 |
Download Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity Book in PDF, Epub and Kindle
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Author | : Erik Bates |
Publisher | : American Mathematical Society |
Total Pages | : 110 |
Release | : 2024-02-01 |
Genre | : Mathematics |
ISBN | : 1470467917 |
Download Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation Book in PDF, Epub and Kindle
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Author | : Nicolas Curien |
Publisher | : Springer Nature |
Total Pages | : 293 |
Release | : 2023-11-20 |
Genre | : Mathematics |
ISBN | : 3031368541 |
Download Peeling Random Planar Maps Book in PDF, Epub and Kindle
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.
Author | : Mathias Pétréolle |
Publisher | : American Mathematical Society |
Total Pages | : 166 |
Release | : 2024-01-19 |
Genre | : Mathematics |
ISBN | : 1470462680 |
Download Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity Book in PDF, Epub and Kindle
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Author | : Roberto Feola |
Publisher | : American Mathematical Society |
Total Pages | : 170 |
Release | : 2024-04-17 |
Genre | : Mathematics |
ISBN | : 1470468778 |
Download Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity Book in PDF, Epub and Kindle
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Author | : Francisco Gancedo |
Publisher | : American Mathematical Society |
Total Pages | : 100 |
Release | : 2024-01-26 |
Genre | : Mathematics |
ISBN | : 147046764X |
Download Global Regularity for Gravity Unstable Muskat Bubbles Book in PDF, Epub and Kindle
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Author | : Martin W. Liebeck |
Publisher | : American Mathematical Society |
Total Pages | : 282 |
Release | : 2024-03-18 |
Genre | : Mathematics |
ISBN | : 1470469057 |
Download Multiplicity-free Representations of Algebraic Groups Book in PDF, Epub and Kindle
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Author | : Alice Hedenlund |
Publisher | : American Mathematical Society |
Total Pages | : 146 |
Release | : 2024-03-18 |
Genre | : Mathematics |
ISBN | : 1470468786 |
Download A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions Book in PDF, Epub and Kindle
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Author | : Tobias Rossmann |
Publisher | : American Mathematical Society |
Total Pages | : 132 |
Release | : 2024-03-18 |
Genre | : Mathematics |
ISBN | : 1470468689 |
Download Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints Book in PDF, Epub and Kindle
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Author | : Jens Marklof |
Publisher | : American Mathematical Society |
Total Pages | : 148 |
Release | : 2024-03-18 |
Genre | : Mathematics |
ISBN | : 1470468697 |
Download Kinetic Theory for the Low-Density Lorentz Gas Book in PDF, Epub and Kindle
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