Percolation On Triangulations A Bijective Path To Liouville Quantum Gravity

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Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity

Author : Olivier Bernardi,Nina Holden,Xin Sun
Publisher : American Mathematical Society
Page : 188 pages
File Size : 48,6 Mb
Release : 2023-09-27
Category : Mathematics
ISBN : 9781470466992

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Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity by Olivier Bernardi,Nina Holden,Xin Sun Pdf

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Peeling Random Planar Maps

Author : Nicolas Curien
Publisher : Springer Nature
Page : 293 pages
File Size : 51,6 Mb
Release : 2023-11-20
Category : Mathematics
ISBN : 9783031368547

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Peeling Random Planar Maps by Nicolas Curien Pdf

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

Author : Mathias Pétréolle,Alan D. Sokal,Bao-Xuan Zhu
Publisher : American Mathematical Society
Page : 166 pages
File Size : 48,7 Mb
Release : 2024-01-19
Category : Mathematics
ISBN : 9781470462680

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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

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Global Regularity for Gravity Unstable Muskat Bubbles

Author : Francisco Gancedo,Eduardo García-Juárez,Neel Patel,Robert M. Strain
Publisher : American Mathematical Society
Page : 100 pages
File Size : 54,8 Mb
Release : 2024-01-26
Category : Mathematics
ISBN : 9781470467647

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Global Regularity for Gravity Unstable Muskat Bubbles by Francisco Gancedo,Eduardo García-Juárez,Neel Patel,Robert M. Strain Pdf

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Multiplicity-free Representations of Algebraic Groups

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

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Multiplicity-free Representations of Algebraic Groups by Martin W. Liebeck,Gary M. Seitz,Donna M. Testerman Pdf

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A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions

Author : Alice Hedenlund,John Rognes
Publisher : American Mathematical Society
Page : 146 pages
File Size : 47,6 Mb
Release : 2024-03-18
Category : Mathematics
ISBN : 9781470468781

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A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions by Alice Hedenlund,John Rognes Pdf

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Kinetic Theory for the Low-Density Lorentz Gas

Author : Jens Marklof,Andreas Strömbergsson
Publisher : American Mathematical Society
Page : 148 pages
File Size : 45,8 Mb
Release : 2024-03-18
Category : Mathematics
ISBN : 9781470468699

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Kinetic Theory for the Low-Density Lorentz Gas by Jens Marklof,Andreas Strömbergsson Pdf

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Total Positivity is a Quantum Phenomenon: The Grassmannian Case

Author : S. Launois,T. H. Lenagan,B. M. Nolan
Publisher : American Mathematical Society
Page : 122 pages
File Size : 44,9 Mb
Release : 2024-01-19
Category : Mathematics
ISBN : 9781470466947

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Total Positivity is a Quantum Phenomenon: The Grassmannian Case by S. Launois,T. H. Lenagan,B. M. Nolan Pdf

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$p$-DG Cyclotomic nilHecke Algebras II

Author : You Qi,Joshua Sussan
Publisher : American Mathematical Society
Page : 118 pages
File Size : 42,6 Mb
Release : 2024-02-01
Category : Mathematics
ISBN : 9781470468729

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$p$-DG Cyclotomic nilHecke Algebras II by You Qi,Joshua Sussan Pdf

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Semi-Infinite Highest Weight Categories

Author : Jonathan Brundan,Catharina Stroppel
Publisher : American Mathematical Society
Page : 166 pages
File Size : 52,7 Mb
Release : 2024-02-01
Category : Mathematics
ISBN : 9781470467838

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Semi-Infinite Highest Weight Categories by Jonathan Brundan,Catharina Stroppel Pdf

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$p$-DG Cyclotomic nilHecke Algebras

Author : Mikhail Khovanov,You Qi,Joshua Sussan
Publisher : American Mathematical Society
Page : 106 pages
File Size : 48,9 Mb
Release : 2024-02-01
Category : Mathematics
ISBN : 9781470468712

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$p$-DG Cyclotomic nilHecke Algebras by Mikhail Khovanov,You Qi,Joshua Sussan Pdf

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