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Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation

Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation PDF Author: Erik Bates
Publisher: American Mathematical Society
ISBN: 1470467917
Category : Mathematics
Languages : en
Pages : 110

Book Description
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Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation

Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation PDF Author: Erik Bates
Publisher: American Mathematical Society
ISBN: 1470467917
Category : Mathematics
Languages : en
Pages : 110

Book Description
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Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints

Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints PDF Author: Tobias Rossmann
Publisher: American Mathematical Society
ISBN: 1470468689
Category : Mathematics
Languages : en
Pages : 132

Book Description
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Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity

Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity PDF Author: Roberto Feola
Publisher: American Mathematical Society
ISBN: 1470468778
Category : Mathematics
Languages : en
Pages : 170

Book Description
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Multiplicity-free Representations of Algebraic Groups

Multiplicity-free Representations of Algebraic Groups PDF Author: Martin W. Liebeck
Publisher: American Mathematical Society
ISBN: 1470469057
Category : Mathematics
Languages : en
Pages : 282

Book Description
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A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions

A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions PDF Author: Alice Hedenlund
Publisher: American Mathematical Society
ISBN: 1470468786
Category : Mathematics
Languages : en
Pages : 146

Book Description
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Kinetic Theory for the Low-Density Lorentz Gas

Kinetic Theory for the Low-Density Lorentz Gas PDF Author: Jens Marklof
Publisher: American Mathematical Society
ISBN: 1470468697
Category : Mathematics
Languages : en
Pages : 148

Book Description
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Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori

Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori PDF Author: Steven Boyer
Publisher: American Mathematical Society
ISBN: 1470468700
Category : Mathematics
Languages : en
Pages : 136

Book Description
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Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow

Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow PDF Author: Maxwell Stolarski
Publisher: American Mathematical Society
ISBN: 147046876X
Category : Mathematics
Languages : en
Pages : 160

Book Description
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Concentration Inequalities

Concentration Inequalities PDF Author: Stéphane Boucheron
Publisher: Oxford University Press
ISBN: 0199535256
Category : Mathematics
Languages : en
Pages : 492

Book Description
Describes the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented.

Random Growth Models

Random Growth Models PDF Author: Michael Damron
Publisher: American Mathematical Soc.
ISBN: 1470435535
Category : Random measures
Languages : en
Pages : 256

Book Description
The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics. This volume is based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held January 2–3, 2017 in Atlanta, GA. The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth.