The ideal Bose-Einstein gas, revisited

RM Ziff, GE Uhlenbeck, M Kac - Physics Reports, 1977 - Elsevier
Some questions concerning the ideal Bose-Einstein gas are reviewed and examined further.
The bulk behavior including the condensation phenomenon is characterized by the …

Foundations of kinetic theory

M Kac - Proceedings of The third Berkeley symposium on …, 1956 - degruyter.com
The basic equation of the kinetic theory of dilute monatomic gases is the famous nonlinear
integro-differential equation of Boltzmann. In the simplest case when the molecules of the gas …

Can one hear the shape of a drum?

M Kac - The american mathematical monthly, 1966 - Taylor & Francis
Can One Hear the Shape of a Drum? Page 1 CAN ONE HEAR THE SHAPE OF A DRUM?
MARK KAC, The Rockefeller University, New York To George Eugene Uhlenbeck on the …

On some connections between probability theory and differential and integral equations

M Kac - Proceedings of the second Berkeley symposium on …, 1951 - projecteuclid.org
The aim of this paper is consequently much more modest. We wishmainly to illustrate, on a
variety of examples, the interplay between probability problems and the analytic tools used to …

[BOEK][B] Statistical Independence in Probability, Analysis and Number

M Kac - 2018 - books.google.com
This concise monograph in probability by Mark Kac, a well-known mathematician, presumes
a familiarity with Lebesgue's theory of measure and integration, the elementary theory of …

On the van der Waals Theory of the Vapor‐Liquid Equilibrium. I. Discussion of a One‐Dimensional Model

M Kac, GE Uhlenbeck, PC Hemmer - Journal of Mathematical Physics, 1963 - pubs.aip.org
For a one‐dimensional fluid model where the pair interaction potential between the molecules
consists of a hard core and an exponential attraction, Kac has shown that the partition …

The spherical model of a ferromagnet

TH Berlin, M Kac - Physical Review, 1952 - APS
A mathematical model, the spherical model, of a ferromagnet is described. The model is a
generalization of the Ising model; and one-, two-, and three-dimensional lattices of infinite …

[BOEK][B] Probability and related topics in physical sciences

M Kac - 1959 - books.google.com
Page 1 APPLIED Lectures in MATHEMATICS Volume 1.A Probability and Related Topics in
Physical Sciences Summer Seminar in Applied Mathematics June 23–July 19, 1957 Boulder …

Random walk and the theory of Brownian motion

M Kac - The American Mathematical Monthly, 1947 - Taylor & Francis
1. Introduction. In 1827 an English botanist, Robert Brown, noticed that small particles
suspended in fluids perform peculiarly erratic movements. This phenomenon, which can also be …

On tests of normality and other tests of goodness of fit based on distance methods

M Kac, J Kiefer, J Wolfowitz - The Annals of Mathematical Statistics, 1955 - JSTOR
The authors study the problem of testing whether the distribution function (df) of the observed
independent chance variables x 1 , ⋯, x n is a member of a given class. A classical problem …