Browsing by Author "Podgórski, K."
Now showing items 16 of 6

Article
Dynamically evolving Gaussian spatial fields
Baxevani, Anastassia; Podgórski, K.; Rychlik, I. (2011)We discuss general nonstationary spatiotemporal surfaces that involve dynamics governed by velocity fields. The approach formalizes and expands previously used models in analysis of satellite data of significant wave ...

Conference Object
How fast are the twodimensional gaussian waves?
Baxevani, Anastassia; Podgórski, K.; Rychlik, I. (2002)For a stationary twodimensional random field evolving in time, we derive the intensity distributions of appropriately defined velocities of crossing contours. The results are based on a generalization of the Rice formula. ...

Article
Random spectral measure for non Gaussian moving averages
Baxevani, Anastassia; Podgórski, K. (2017)We study the distribution of phases and amplitudes for the spectral representation of weighted moving averages of a general noise measure. The simple independent structure, known for the Gaussian case, and involving Rayleigh ...

Article
Sample path asymmetries in nongaussian random processes
Baxevani, Anastassia; Podgórski, K.; Wegener, J. (2014)We tackle an important although rarely addressed question of accounting for a variety of asymmetries frequently observed in stochastic temporal/spatial records. First, we review some measures intending to capture such ...

Article
Series decomposition of fractional Brownian motion and its Lamperti transform
Baxevani, Anastassia; Podgórski, K. (2009)The Lamperti transformation of a selfsimilar process is a stationary process. In particular, the fractional Brownian motion transforms to the second order stationary Gaussian process. This process is represented as a ...

Article
Velocities for moving random surfaces
Baxevani, Anastassia; Podgórski, K.; Rychlik, I. (2003)For a stationary twodimensional random field evolving in time, we derive statistical distributions of appropriately defined velocities. The results are based on a generalization of the Rice formula. We discuss importance ...