Browsing by Author "Podgórski, K."

Now showing items 1-6 of 6

    • Article  

      Dynamically evolving Gaussian spatial fields 

      Baxevani, Anastassia; Podgórski, K.; Rychlik, I. (2011)
      We discuss general non-stationary spatio-temporal 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 two-dimensional gaussian waves? 

      Baxevani, Anastassia; Podgórski, K.; Rychlik, I. (2002)
      For a stationary two-dimensional 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 non-gaussian 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 self-similar 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 two-dimensional 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 ...