Author: Miki Hirano
Publisher: American Mathematical Society
ISBN: 1470452774
Category : Mathematics
Languages : en
Pages : 136

Get Book Here

Book Description
View the abstract.

Author: Alexei Borodin
Publisher: Cambridge University Press
ISBN: 1107175550
Category : Mathematics
Languages : en
Pages : 169

Get Book Here

Book Description
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

Author: Charles Boyer
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 648

Get Book Here

Book Description
This book offers an extensive modern treatment of Sasakian geometry, which is of importance in many different fields in geometry and physics.

Author: Antonio Auffinger
Publisher: American Mathematical Soc.
ISBN: 1470441837
Category : Limit theorems (Probability theory)
Languages : en
Pages : 161

Get Book Here

Book Description
First-passage percolation (FPP) is a fundamental model in probability theory that has a wide range of applications to other scientific areas (growth and infection in biology, optimization in computer science, disordered media in physics), as well as other areas of mathematics, including analysis and geometry. FPP was introduced in the 1960s as a random metric space. Although it is simple to define, and despite years of work by leading researchers, many of its central problems remain unsolved. In this book, the authors describe the main results of FPP, with two purposes in mind. First, they give self-contained proofs of seminal results obtained until the 1990s on limit shapes and geodesics. Second, they discuss recent perspectives and directions including (1) tools from metric geometry, (2) applications of concentration of measure, and (3) related growth and competition models. The authors also provide a collection of old and new open questions. This book is intended as a textbook for a graduate course or as a learning tool for researchers.

Author: Jan H. Bruinier
Publisher: Springer
ISBN: 3540458727
Category : Mathematics
Languages : en
Pages : 159

Get Book Here

Book Description
Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2,n)$. These "Borcherds products" have infinite product expansions analogous to the Dedekind eta-function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic applications. In the present text the Borcherds' construction is extended to Maass wave forms and is used to study the Chern classes of Heegner divisors. A converse theorem for the lifting is proved.

Author: Juan González-Meneses
Publisher: Birkhäuser
ISBN: 9783319054872
Category : Mathematics
Languages : en
Pages : 0

Get Book Here

Book Description
This volume features seventeen extended conference abstracts corresponding to selected talks given by participants at the CRM research program “Automorphisms of Free Groups: Algorithms, Geometry and Dynamics”, which took place at the Centre de Recerca Matemàtica in Barcelona in fall 2012. Most of them are short articles giving preliminary presentations of new results not yet published in regular research journals. The articles are the result from a direct collaboration among active researchers in the area after working in a dynamic and productive atmosphere. The book is intended for established researchers in the area of Group Theory, as well as for PhD and postdoc students who wish to learn more about the latest advances in this active area of research.