Finite and infinite systems of interacting diffusions

[1]  F. Hollander,et al.  On the Attracting Orbit of a Non-Linear Transformation Arising From Renormalization Of Hierarchically Interacting Diffusions Part I: The Compact Case , 1995, Canadian Journal of Mathematics.

[2]  A. Greven,et al.  Diffusive clustering in an infinite system of hierarchically interacting diffusions , 1994 .

[3]  J. T. Cox,et al.  Ergodic theorems for infinite systems of locally interacting diffusions , 1994 .

[4]  J. T. Cox,et al.  The finite systems scheme: An abstract theorem and a new example , 1994 .

[5]  Jean-Dominique Deuschel Algebraic $L^2$ Decay of Attractive Critical Processes on the Lattice , 1994 .

[6]  Donald A. Dawson,et al.  Multiple time scale analysis of interacting diffusions , 1993 .

[7]  D. Dawson,et al.  Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation , 1993 .

[8]  T. Shiga,et al.  Ergodic theorems and exponential decay of sample paths for certain interacting diffusion systems , 1992 .

[9]  J. T. Cox,et al.  On the Long Term Behavior of Finite Particle Systems: A Critical Dimension Example , 1991 .

[10]  J. T. Cox,et al.  On the long term behavior of some finite particle systems , 1990 .

[11]  J. T. Cox,et al.  Coalescing Random Walks and Voter Model Consensus Times on the Torus in $\mathbb{Z}^d$ , 1989 .

[12]  N. Konno,et al.  Stochastic partial differential equations for some measure-valued diffusions , 1988 .

[13]  J. Deuschel Central Limit Theorem for an Infinite Lattice System of Interacting Diffusion Processes , 1988 .

[14]  T. Shiga A certain class of infinite dimensional diffusion processes arising in population genetics , 1987 .

[15]  J. T. Cox,et al.  Diffusive Clustering in the Two Dimensional Voter Model , 1986 .

[16]  T. Shiga,et al.  Stationary states and their stability of the stepping stone model involving mutation and selection , 1986 .

[17]  T. Liggett Interacting Particle Systems , 1985 .

[18]  F. Spitzer,et al.  Ergodic theorems for coupled random walks and other systems with locally interacting components , 1981 .

[19]  T. Shiga,et al.  Convergence to genetically uniform state in stepping stone models of population genetics , 1980, Journal of mathematical biology.

[20]  A. Shimizu,et al.  Infinite dimensional stochastic differential equations and their applications , 1980 .

[21]  T. Shiga,et al.  An interacting system in population genetics , 1980 .

[22]  Richard Durrett,et al.  An infinite particle system with additive interactions , 1978, Advances in Applied Probability.

[23]  David Aldous,et al.  Stopping Times and Tightness. II , 1978 .

[24]  T. Ohta,et al.  Theoretical aspects of population genetics. , 1972, Monographs in population biology.

[25]  Shinzo Watanabe,et al.  On the uniqueness of solutions of stochastic difierential equations , 1971 .

[26]  E. Montroll,et al.  Random Walks on Lattices. II , 1965 .

[27]  F. Spitzer Principles Of Random Walk , 1966 .