… of infinitely near points, clusters and proximity relations, a dictionary between fsc, ideals,
idealistic clusters … It turns out that the monoid of idealistic clusters with a given constellation is …

… a finite set C of infinitely near points (we will call C … point in dimension d ;::: 3. In this case
complete ideals are said to be finitely supported and they are studied in [1] by means of clusters, …

… of infinitely near points. In Sect. 3 we state the notions of cluster of infinitely near points and
… a useful tool to encode the proximity relations in the cluster introduced by Du Val in [8]. Such …

… of the theory of clusters of infinitely near points in the global … language of infinitely near
points and idealistic clusters can … by clusters whose associated configuration is a set of general …

… dominant cluster. We distinguish between two related concepts: the Incipient Infinite Cluster,
… that our starting point is an explicit assumption concerning the two-point function in the bulk. …

… a point on a surface S. We define the points proximate to p as being the points infinitely near
… sequel that all points preceding a point in a cluster, are also in the cluster. The depth of a …

… with near and using the resulting bunches and clusters of S. Leader, we get infinitely many
… Put another way, x lies in the closure of a set E, provided that there are points of E as near as …

… We study sequences of infinitely near T-points of a smooth family F/Y of geometrically
irreducible surfaces. We destinguish a special sort of such sequences, the strict sequences. To …

… The results of this paper concern uniqueness of infinite clusters away from a critical point
or at a critical point with strictly positive percolation density. They may be regarded as a first …

… of cutting bonds between two points separated by a distance of … , the backbone of the infinite
cluster near pc is better described … Suppose p <pc, and two points i and j in the same cluster, …