## The Wonderful world of stochastics: a tribute to Elliott W. MontrollElliott W. Montroll. Dielectric relaxation via the Montroll-Weiss random walk of defects. The fascination of old texts. Some statistical and dynamical problems in quantum electronics. Theory of diffusion via an interstitial and vacancy mechanism. Mathieu difference equations. Mayer-Montroll equations (and some variants) through history for fun and profit. Illumination in a random medium. Random walks in crystallography. On the quantum Langevin equation: the linear oscillator. Some inequalities for anisotropic rotators. Some notes and applications of the characteristic value theory of integral equations: abstract of a doctor's dissertation. Statistical mechanics of imperfect gases. On the theory of Markoff Chains. Frequency spectrum of crystalline solids. Effect of defects on lattice vibrations: interaction of defects and an analogy with Meson Pair theory. Poincare cycles, ergodicity, and irreversibility in assemblies coupled harmonic oscillators. Studies in nonequilibrium rate processes. I: the relaxation of a system of harmonic oscillators. Randot of a fi19991222. |

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### Contents

List of Publications of Elliott W Montroll | 17 |

HI Invited Contributions | 29 |

The fascination of old texts | 47 |

Copyright | |

71 other sections not shown

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analysis applied approximation asymptotic atoms Boltzmann calculation carrier chain characteristic functions characteristic values Chem coefficients consider correlation function corresponding coupling crystal decay defects defined dependence derived discussed distribution function dynamics E.W. Montroll Elliott energy equilibrium evaluated expansion exponential expression Floquet theory fluctuations formula Fourier series Fourier transform free boundary frequency G.H. Weiss Gaussian given Green's function hard-sphere harmonic oscillators heat bath Hence initial integral equation interaction inverse Ising model isotopic kernel Laplace transform lattice points limit linear M.F. Shlesinger Math mathematical matrix method molecules nearest neighbors normal mode obtained parameters particle partition function phase Phys Physics polynomials potential problem Proc quantum random walk relaxation rigid boundary shown solution space Statistical Mechanics stochastic temperature theorem theory tion transition variables vectors vibrational virial coefficient volume yields zero