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Book Synopsis Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity by : Olivier Bernardi
Download or read book Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity written by Olivier Bernardi and published by American Mathematical Society. This book was released on 2023-09-27 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
We set the foundation for a series of works aimed at proving strong relations between uniform random planar maps and Liouville quantum gravity (LQG).
Book Synopsis Percolation on Triangulations by : Olivier Bernardi
Download or read book Percolation on Triangulations written by Olivier Bernardi and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We set the foundation for a series of works aimed at proving strong relations between uniform random planar maps and Liouville quantum gravity (LQG).
Book Synopsis Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation by : Erik Bates
Download or read book Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation written by Erik Bates and published by American Mathematical Society. This book was released on 2024-02-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
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.
Book Synopsis Peeling Random Planar Maps by : Nicolas Curien
Download or read book Peeling Random Planar Maps written by Nicolas Curien and published by Springer Nature. This book was released on 2023-11-20 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book 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
Download or read book Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity written by Mathias Pétréolle and published by American Mathematical Society. This book was released on 2024-01-19 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity by : Roberto Feola
Download or read book Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity written by Roberto Feola and published by American Mathematical Society. This book was released on 2024-04-17 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Global Regularity for Gravity Unstable Muskat Bubbles by : Francisco Gancedo
Download or read book Global Regularity for Gravity Unstable Muskat Bubbles written by Francisco Gancedo and published by American Mathematical Society. This book was released on 2024-01-26 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Multiplicity-free Representations of Algebraic Groups by : Martin W. Liebeck
Download or read book Multiplicity-free Representations of Algebraic Groups written by Martin W. Liebeck and published by American Mathematical Society. This book was released on 2024-03-18 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions by : Alice Hedenlund
Download or read book A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions written by Alice Hedenlund and published by American Mathematical Society. This book was released on 2024-03-18 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints by : Tobias Rossmann
Download or read book Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints written by Tobias Rossmann and published by American Mathematical Society. This book was released on 2024-03-18 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
