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Archimedean Zeta Integrals for $GL(3)times GL(2)$

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Release : 2022-07-18
Genre : Mathematics
Kind : eBook
Book Rating : 774/5 ( reviews)

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Book Synopsis Archimedean Zeta Integrals for $GL(3)times GL(2)$ by : Miki Hirano

Download or read book Archimedean Zeta Integrals for $GL(3)times GL(2)$ written by Miki Hirano. This book was released on 2022-07-18. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Representations of the Infinite Symmetric Group

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Release : 2017
Genre : Mathematics
Kind : eBook
Book Rating : 550/5 ( reviews)

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Book Synopsis Representations of the Infinite Symmetric Group by : Alexei Borodin

Download or read book Representations of the Infinite Symmetric Group written by Alexei Borodin. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

Sasakian Geometry

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Release : 2008-01-24
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Sasakian Geometry by : Charles Boyer

Download or read book Sasakian Geometry written by Charles Boyer. This book was released on 2008-01-24. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an extensive modern treatment of Sasakian geometry, which is of importance in many different fields in geometry and physics.

Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors

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Release : 2004-10-11
Genre : Mathematics
Kind : eBook
Book Rating : 727/5 ( reviews)

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Book Synopsis Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors by : Jan H. Bruinier

Download or read book Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors written by Jan H. Bruinier. This book was released on 2004-10-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

50 Years of First-Passage Percolation

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Release : 2017-12-20
Genre : Mathematics
Kind : eBook
Book Rating : 837/5 ( reviews)

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Book Synopsis 50 Years of First-Passage Percolation by : Antonio Auffinger

Download or read book 50 Years of First-Passage Percolation written by Antonio Auffinger. This book was released on 2017-12-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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