Geometric_Probability-Solomon.pdf

CBMS-NSF REGIONAL CONFERENCE SERIES

IN APPLIED MATHEMATICS

A series of lectures on topics of current research interest in applied mathematics under the direction of

the Conference Board of the Mathematical Sciences, supported by the National Science Foundation and

published by SLAM.

GARRETT BIRKHOFF, The Numerical Solution of Elliptic Equations

D. V. LINDLEY, Bayesian Statistics, A Review

R. S. VARGA, Functional Analysis and Approximation Theory in Numerical Analysis

R. R. BAHADUR, Some Limit Theorems in Statistics

PATRICK BILLINGSLEY, Weak Convergence of Measures: Applications in Probability

J. L. LIONS, Some Aspects of the Optimal Control of Distributed Parameter Systems

ROGER PENROSE, Techniques of Differential Topology in Relativity

HERMAN CHERNOFF, Sequential Analysis and Optimal Design

J. DURBIN, Distribution Theory for Tests Based on the Sample Distribution Function

SOL I. RUBINOW, Mathematical Problems in the Biological Sciences

P. D. LAX, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock

Waves

I. J. ScHOENBERG, Cardinal Spline Interpolation

IVAN SINGER, The Theory of Best Approximation and Functional Analysis

WERNER C. RHEINBOLDT, Methods of Solving Systems of Nonlinear Equations

HANS F. WEINBERGER, Variational Methods for Eigenvalue Approximation

R. TYRRELL ROCKAFELLAR, Conjugate Duality and Optimization

SIR JAMES LIGHTHILL, Mathematical Biofluiddynamics

GERARD S ALTON, Theory of Indexing

CATHLEEN S. MORAWETZ, Notes on Time Decay and Scattering for Some Hyperbolic Problems

F. HOWENSTEADT, Mathematical Theories of Populations: Demographics, Genetics and Epidemics

RICHARD ASKEY, Orthogonal Polynomials and Special Functions

L. E. PAYNE, Improperly Posed Problems in Partial Differential Equations

S. ROSEN, Lectures on the Measurement and Evaluation of the Performance of Computing Systems

HERBERT B. KELLER, Numerical Solution of Two Point Boundary Value Problems

J. P. LASALLE, The Stability of Dynamical Systems - Z. ARTSTEIN, Appendix A: Limiting Equations

and Stability ofNonautonomous Ordinary Differential Equations

D. GOTTLIEB AND S. A. ORSZAG, Numerical Analysis of Spectral Methods: Theory and Applications

PETER J. HUBER, Robust Statistical Procedures

HERBERT SOLOMON, Geometric Probability

FRED S. ROBERTS, Graph Theory and Its Applications to Problems of Society

JURIS HARTMANIS, Feasible Computations and Provable Complexity Properties

ZOHAR MANNA, Lectures on the Logic of Computer Programming

ELLIS L. JOHNSON, Integer Programming: Facets, Subadditivity, and Duality for Group and Semi-

Group Problems

SHMUEL WINOGRAD, Arithmetic Complexity of Computations

J. F. C. KINGMAN, Mathematics of Genetic Diversity

MORTON E. GURTIN, Topics in Finite Elasticity

THOMAS G. KURTZ, Approximation of Population Processes

(continued on inside back cover)

Herbert Solomon

Stanford University

Stanford, California

Geometric

Probability

siajiu

SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS

PHILADELPHIA

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Geometric

Probability

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