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 |
ISBN-10 |
: 9781470466992 |
ISBN-13 |
: 1470466996 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity by : Olivier Bernardi
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Author |
: Erik Bates |
Publisher |
: American Mathematical Society |
Total Pages |
: 110 |
Release |
: 2024-02-01 |
ISBN-10 |
: 9781470467913 |
ISBN-13 |
: 1470467917 |
Rating |
: 4/5 (13 Downloads) |
Synopsis Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation by : Erik Bates
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Author |
: Nicolas Curien |
Publisher |
: Springer Nature |
Total Pages |
: 293 |
Release |
: 2023-11-20 |
ISBN-10 |
: 9783031368547 |
ISBN-13 |
: 3031368541 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Peeling Random Planar Maps by : Nicolas Curien
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 |
ISBN-10 |
: 9781470462680 |
ISBN-13 |
: 1470462680 |
Rating |
: 4/5 (80 Downloads) |
Synopsis 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
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Author |
: Roberto Feola |
Publisher |
: American Mathematical Society |
Total Pages |
: 170 |
Release |
: 2024-04-17 |
ISBN-10 |
: 9781470468774 |
ISBN-13 |
: 1470468778 |
Rating |
: 4/5 (74 Downloads) |
Synopsis Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity by : Roberto Feola
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Author |
: Francisco Gancedo |
Publisher |
: American Mathematical Society |
Total Pages |
: 100 |
Release |
: 2024-01-26 |
ISBN-10 |
: 9781470467647 |
ISBN-13 |
: 147046764X |
Rating |
: 4/5 (47 Downloads) |
Synopsis Global Regularity for Gravity Unstable Muskat Bubbles by : Francisco Gancedo
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Author |
: Martin W. Liebeck |
Publisher |
: American Mathematical Society |
Total Pages |
: 282 |
Release |
: 2024-03-18 |
ISBN-10 |
: 9781470469054 |
ISBN-13 |
: 1470469057 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Multiplicity-free Representations of Algebraic Groups by : Martin W. Liebeck
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Author |
: Alice Hedenlund |
Publisher |
: American Mathematical Society |
Total Pages |
: 146 |
Release |
: 2024-03-18 |
ISBN-10 |
: 9781470468781 |
ISBN-13 |
: 1470468786 |
Rating |
: 4/5 (81 Downloads) |
Synopsis A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions by : Alice Hedenlund
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Author |
: Tobias Rossmann |
Publisher |
: American Mathematical Society |
Total Pages |
: 132 |
Release |
: 2024-03-18 |
ISBN-10 |
: 9781470468682 |
ISBN-13 |
: 1470468689 |
Rating |
: 4/5 (82 Downloads) |
Synopsis Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints by : Tobias Rossmann
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Author |
: Jens Marklof |
Publisher |
: American Mathematical Society |
Total Pages |
: 148 |
Release |
: 2024-03-18 |
ISBN-10 |
: 9781470468699 |
ISBN-13 |
: 1470468697 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Kinetic Theory for the Low-Density Lorentz Gas by : Jens Marklof
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