A pointwise approximation of isolated trees in a random graph.
A Poisson formula for harmonic projections
A population model for -coalescents with neutral mutations.
A Poster about the Old History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010. The poster accompanying the present note illustrates the major contributions during the period 1695-1970, the "old history" of FC.
A Poster about the Recent History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development. The accompanying poster illustrates the major contributions during the period 1966-2010.
A post-predictive view of gaussian processes
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...