A philatelic excursion with Jeff Hunter in probability and matrix theory.
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