On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure.
On applications of Little's formula.
On convex stochastic processes.
On geometric-optical projection of spatial particle size distribution
On logarithmic information in point processes
On modulated random measures.
On quadratic stochastic processes.
On some properties of J-convex stochastic processes.
On some properties of the Lüroth-type alternating series representations for real numbers.
On the convergence of sequences of iterates of random-valued functions.
On two fragmentation schemes with algebraic splitting probability
Consider the following inhomogeneous fragmentation model: suppose an initial particle with mass x₀ ∈ (0,1) undergoes splitting into b > 1 fragments of random sizes with some size-dependent probability p(x₀). With probability 1-p(x₀), this particle is left unchanged forever. Iterate the splitting procedure on each sub-fragment if any, independently. Two cases are considered: the stable and unstable case with and respectively, for some a > 0. In the first (resp. second) case, since smaller...