(Paperback)

The description for this book, Stationary Processes and Prediction Theory. (AM-44), will be forthcoming.

(Paperback)

(Paperback)

(Paperback)

The description for this book, Surface Area. (AM-35), will be forthcoming.

(Paperback)

A book on the subject of surgery theory which is the basis for the classification theory of manifolds.

(Paperback)

Surgery theory is the basis for the classification theory of manifolds. This title reflects on the accomplishments of surgery theory as well as its varied interactions with algebra, analysis, and geometry. It covers the topics that include applications of surgery, Wall's finiteness obstruction, algebraic surgery, and surgery in dimension four.

(Paperback)

(Paperback)

Offers an account of the 3-manifold invariants arising from the original Jones polynomial. This book contains the methods that are based on a recoupling theory for the Temperley-Lieb algebra. The appendices include information about gems, examples of distinct manifolds with the same invariants, and applications to the Turaev-Viro invariant.

(Paperback)

This book introduces new methods in the theory of partial differential equations derivable from a Lagrangian. These methods constitute, in part, an extension to partial differential equations of the method of symplectic geometry and Hamilton-Jacobi theory for Lagrangian systems of ordinary differential equations.

(Paperback)

A work that gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G.

(Paperback)

Develops and applies a theory of the ambient metric in conformal geometry. This title includes the derivation of the ambient obstruction tensor and an analysis of the cases of conformally flat and conformally Einstein spaces. It concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature.

(Paperback)

(Paperback)

The description for this book, The Calculi of Lambda Conversion. (AM-6), will be forthcoming.

(Paperback)

Addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies.

(Paperback)

(Paperback)

(Paperback)

Develops a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. This book formulates simple general conditions on the spectral theory of the group and the regularity of the averaging sets, which suffice to guarantee convergence to the ergodic mean.

(Paperback)

Providing instances of the local Langlands conjecture, this book aims to prove the local Langlands conjecture for GLn over a p-adic field and, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "simple" Shimura varieties.

(Paperback)

Offers a comprehensive account of the Gross-Zagier formula on Shimura curves over real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. This title begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations.

(Hardback)

Offers a comprehensive account of the Gross-Zagier formula on Shimura curves over real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. This title begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations.

(Paperback)

Presents the analytic foundations to the theory of the hypoelliptic Laplacian. This book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. It gives the proper functional analytic setting in order to study this operator and develop a pseudodifferential calculus.

(Paperback)

This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.

(Hardback)

(Paperback)

This book is based on the notes from lectures given by the second author at Princeton University in the year 1970-71, which were subsequently expanded and revised by the first author.