Author: Olivier BernardiPublisher: American Mathematical Society
ISBN: 1470466996
Category : Mathematics
Languages : en
Pages : 188
Book Description
View the abstract.
Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity
Author: Olivier BernardiPublisher: American Mathematical Society
ISBN: 1470466996
Category : Mathematics
Languages : en
Pages : 188
Book Description
View the abstract.
Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation
Author: Erik BatesPublisher: American Mathematical Society
ISBN: 1470467917
Category : Mathematics
Languages : en
Pages : 110
Book Description
View the abstract.
Peeling Random Planar Maps
Author: Nicolas CurienPublisher: Springer Nature
ISBN: 3031368541
Category : Mathematics
Languages : en
Pages : 293
Book Description
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 PétréollePublisher: American Mathematical Society
ISBN: 1470462680
Category : Mathematics
Languages : en
Pages : 166
Book Description
View the abstract.
Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity
Author: Roberto FeolaPublisher: American Mathematical Society
ISBN: 1470468778
Category : Mathematics
Languages : en
Pages : 170
Book Description
View the abstract.
Global Regularity for Gravity Unstable Muskat Bubbles
Author: Francisco GancedoPublisher: American Mathematical Society
ISBN: 147046764X
Category : Mathematics
Languages : en
Pages : 100
Book Description
View the abstract.
Multiplicity-free Representations of Algebraic Groups
Author: Martin W. LiebeckPublisher: American Mathematical Society
ISBN: 1470469057
Category : Mathematics
Languages : en
Pages : 282
Book Description
View the abstract.
A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions
Author: Alice HedenlundPublisher: American Mathematical Society
ISBN: 1470468786
Category : Mathematics
Languages : en
Pages : 146
Book Description
View the abstract.
Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints
Author: Tobias RossmannPublisher: American Mathematical Society
ISBN: 1470468689
Category : Mathematics
Languages : en
Pages : 132
Book Description
View the abstract.
Kinetic Theory for the Low-Density Lorentz Gas
Author: Jens MarklofPublisher: American Mathematical Society
ISBN: 1470468697
Category : Mathematics
Languages : en
Pages : 148
Book Description
View the abstract.