Dariusz Buraczewski

Riesz transforms related to Bessel operators

Riesz transforms

On multidimensional Mandelbrot cascades

R_\mu

HEAVY TAILED SOLUTIONS OF MULTIVARIATE SMOOTHING TRANSFORMS

related to the Bessel operators

On unbounded invariant measures of stochastic dynamical systems

\Delta_\mu=x^{-\mu-1/2}Dx^{2\mu+1}Dx^{-\mu-1/2}

Large deviation estimates for exceedance times of perpetuity sequences and their dual processes

are studied in this work. We develop for

LINEAR STOCHASTIC EQUATIONS IN THE CRITICAL CASE

R_\mu

Asymptotic Behavior of Poisson Kernels on NA Groups

a theory that runs parallel to that for the Euclidean Hilbert transform. It is proved that

On the invariant measure of the random difference equation Xn = AnXn−1 + Bn in the critical case

R_\mu