Add to ORKGAbstract. Let X1,..., XN denote N independent, symmetric Lévy processes on Rd. The corresponding additive Lévy process is defined as the following N-parameter random field on Rd: (0.1) X(t): = X1(t1) + · · ·+XN (tN) (t ∈ RN+). Khoshnevisan and Xiao (2002) have found a necessary and sufficient condition for the zero-set X−1({0}) of X to be non-trivial with positive probability. They also provide bounds for the Hausdorff dimension o
Let X(t) (t ∈ R+) be a stable process in a random scenery. The Hausdorff dimension of certain level ...
The primary goal of this paper is to study the range of the random field X(t) = PN j=1Xj(tj), where ...
We determine the `exact Hausdorff dimension\u27 for a class of multi-type random constructions. As a...
Abstract. Let X1,..., XN denote N independent, symmetric Lévy processes on Rd. The corresponding ad...
AbstractLet Xt be any additive process in Rd. There are two lower indices βT′,βT″ and an upper index...
International audienceFine regularity of stochastic processes is usually measured in a local way by ...
International audienceFine regularity of stochastic processes is usually measured in a local way by ...
International audienceFine regularity of stochastic processes is usually measured in a local way by ...
This is a survey on recently-developed potential theory of additive Lévy processes and its applicat...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
Abstract. Let X1,..., XN denote N independent d-dimensional Lévy processes, and con-sider the N-par...
Abstract. We determine the ‘exact Hausdorff dimension ’ for a class of multi-type random constructio...
Fine regularity of stochastic processes is usually measured in a local way by local Hölder...
We provide a simple proof of the result on the Hausdorff dimension of the range of a Lévy process i...
Fine regularity of stochastic processes is usually measured in a local way by local Hölder...
Let X(t) (t ∈ R+) be a stable process in a random scenery. The Hausdorff dimension of certain level ...
The primary goal of this paper is to study the range of the random field X(t) = PN j=1Xj(tj), where ...
We determine the `exact Hausdorff dimension\u27 for a class of multi-type random constructions. As a...
Abstract. Let X1,..., XN denote N independent, symmetric Lévy processes on Rd. The corresponding ad...
AbstractLet Xt be any additive process in Rd. There are two lower indices βT′,βT″ and an upper index...
International audienceFine regularity of stochastic processes is usually measured in a local way by ...
International audienceFine regularity of stochastic processes is usually measured in a local way by ...
International audienceFine regularity of stochastic processes is usually measured in a local way by ...
This is a survey on recently-developed potential theory of additive Lévy processes and its applicat...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
Abstract. Let X1,..., XN denote N independent d-dimensional Lévy processes, and con-sider the N-par...
Abstract. We determine the ‘exact Hausdorff dimension ’ for a class of multi-type random constructio...
Fine regularity of stochastic processes is usually measured in a local way by local Hölder...
We provide a simple proof of the result on the Hausdorff dimension of the range of a Lévy process i...
Fine regularity of stochastic processes is usually measured in a local way by local Hölder...
Let X(t) (t ∈ R+) be a stable process in a random scenery. The Hausdorff dimension of certain level ...
The primary goal of this paper is to study the range of the random field X(t) = PN j=1Xj(tj), where ...
We determine the `exact Hausdorff dimension\u27 for a class of multi-type random constructions. As a...