2 papers
math.PR2004
Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on Z^d
Thomas Logan Ritchie
We provide an explicit construction of the thermodynamic jamming limit for the parking process and other finite range exclusion schemes on Z^d. By means thereof, a strong law of la…
math.PR2004
Improved Lower Bounds for the Critical Probability of Oriented-Bond Percolation in Two Dimensions
Thomas Logan Ritchie, Vladimir Belitsky
We present a coupled decreasing sequence of random walks on that dominates the edge process of oriented-bond percolation in two dimensions. Using the concept of "rand…