Mathematics of random media/
Werner E. Kohler, Benjamin S. White, editors.
- Providence, R.I.: American Mathematical Society, c1991.
- x, 499 p.: ill.; 26 cm.
- Lectures in applied mathematics, v. 27. .
- Lectures in applied mathematics (American Mathematical Society); v. 27. .
"The proceedings of the 1989 AMS-SIAM Summer Seminar on Mathematics of Random Media were prepared by the American Mathematical Society"--T.p. verso. "Held at Virginia Polytechnic Institute and State University from May 29-June 9, 1989"--Pref.
Includes bibliographical references.
The contact process, 1974-1989 / Rick Durrett -- Is the contact process dead? / Lawrence F. Gray -- Limiting behavior of an one-dimensional system with long range interactions / Thomas M. Liggett -- Topics in percolation / Charles M. Newman -- The lace expansion and the upper critical dimension for percolation / Gordon Slade -- Mandelbrot percolation in two and three dimensions / Glen H. Swindle -- Intersection probabilities for random walks / Gregory F. Lawler -- A summary of results about cyclic cellular automata / Robert Fisch -- Hydrodynamcial behavior of asymmetric attractive particle systems one example : one-dimensional nearest-neighbors asymmetric simple exclusion process / Jean-Pierre Fouque . Statistical mechanics applied to random-media problems / George Stell -- A control formulation for constrained Markov processes / Thomas G. Kurtz -- Diffusion approximation for a class of transport processes with physical reflection boundary conditions / C. Costantini -- Random perturbations of dynamical systems : a new approach / Yuri Kifer - Partial differential systems with a small parameter and diffusion process with a discrete component / A. Eizenberg and M. Freidlin -- Asymptotics for the solution of the exterior Dirichlet problem for second-order elliptic operators with small first-order perturbations / Dimitri Ioffe and Ross Pinsky -- Asymptotic behavior of invariant density of diffusion process with small fluctuation / Toshio Mikami .