A potential operator and some ergodic properties of a positive contraction
A potential-theoretic note on the quadratic Wiener-Hopf equation for Q-matrices
A probabilistic approach to non-linear Dirichlet problem
A probabilistic approach to representation formulae for semigroups of operators with rates of convergence.
A probabilistic approach to the asymptotics of the length of the longest alternating subsequence.
A probabilistic approach to the boundedness of singular integral operators
A probabilistic approach to the trace at the boundary for solutions of a semilinear parabolic partial differential equation.
A probabilistic description of the three theorems of Hardy.
A probabilistic ergodic decomposition result
Let be a standard probability space. We say that a sub-σ-algebra of decomposes μ in an ergodic way if any regular conditional probability with respect to andμ satisfies, for μ-almost every x∈X, . In this case the equality , gives us an integral decomposition in “-ergodic” components. For any sub-σ-algebra of , we denote by the smallest sub-σ-algebra of containing and the collection of all setsAin satisfyingμ(A)=0. We say that isμ-complete if . Let be a non-empty family...
A Probabilistic Proof and Applications of Wiener's Test for the Heat Operator.
A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree.
A probabilistic proof of the series representation of the Macdonald function with applications.
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees
A probability density function estimation using F-transform
The aim of this paper is to propose a new approach to probability density function (PDF) estimation which is based on the fuzzy transform (F-transform) introduced by Perfilieva in [10]. Firstly, a smoothing filter based on the combination of the discrete direct and continuous inverse F-transform is introduced and some of the basic properties are investigated. Next, an alternative approach to PDF estimation based on the proposed smoothing filter is established and compared with the most used method...
A Probability Inequality for Ranges and its Application to Maximum Range Test Procedures.
A probablistic origin for a new class of bivariate polynomials.
A Probalistic Interpretation of Complete Monotonicity.
A probalistic solution of the Neumann problem.
A problem on matrices
A projective central limit theorem and interacting Fock space representation for the limit process
Accardi et al. proved a central limit theorem, based on the notion of projective independence. In this note we use the symmetric projective independence to present a new version of that result, where the limiting process is perturbed by the insertion of suitable test functions. Moreover we give a representation of the limit process in 1-mode type interacting Fock space.