Characterisations of H... by singular intetgral transforms on martingales and R...
On the interpolation of sublinear operators
BMO and commutators of martingale transforms
The commutator of multiplication by a function and a martingale transform of a certain type is a bounded operator on , , if and only if the function belongs to BMO. This is a martingale version of a result by Coifman, Rochberg and Weiss.
Interpolation of analytic families of operators
Branching processes, and random-cluster measures on trees
Random-cluster measures on infinite regular trees are studied in conjunction with a general type of ‘boundary condition’, namely an equivalence relation on the set of infinite paths of the tree. The uniqueness and non-uniqueness of random-cluster measures are explored for certain classes of equivalence relations. In proving uniqueness, the following problem concerning branching processes is encountered and answered. Consider bond percolation on the family-tree of a branching process. What is the...
A new look on Hankel forms over Fock space
Hankel forms and the Fock space.
On percolation in random graphs with given vertex degrees.
Hook lengths in a skew Young diagram.
Standard representation of multivariate functions on a general probability space.
Brownian excursion area, wright's constants in graph enumeration, and other Brownian areas.
Moments of gamma type and the Brownian supremum process area.
The center of mass of the ISE and the Wiener index of trees.
Analysis of an asymmetric leader election algorithm.
Tail estimates for the Brownian excursion area and other Brownian areas.
Random even graphs.
A characterization of the set of fixed points of the quicksort transformation.
A functional combinatorial central limit theorem.
Zeros of sections of the binomial expansion.
On vertex, edge, and vertex-edge random graphs.
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