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 …

A stochastic model related to the telegrapher's equation

M Kac - The Rocky Mountain Journal of Mathematics, 1974 - JSTOR
Indeed, the first step will certainly take me a distance v At in the positive direction. Now I must
toss my coin and find what will happen to the velocity. It will change from v into€ ļt;, ie, it will …

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 …

[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 …

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 …

[PDF][PDF] On the average number of real roots of a random algebraic equation

M Kac - 1943 - projecteuclid.org
(1) Xo+ Xxx+ X2x2+•••+ In-i^" 1= 0, where the X's are independent random variables assuming
real values only, and denote by Nn= N (X0f•••, Xn-i) the number of real roots of (1). We …

[PDF][PDF] On the notion of recurrence in discrete stochastic processes

M Kac - 1947 - projecteuclid.org
1. Introduction. It is the purpose of this note to discuss" statistical" versions of the"
Wiederkehrsatz" and the Poincaré cycle and to relate these versions to the ones encountered in …

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 …

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 …