Research
 




Research Interests


  • probability and stochastic processes: self-similarity, anomalous diffusions
  • time series analysis: long range dependence
  • multiscale (wavelets) and multivariate methods
  • applications.in Biophysics and Signal Processing




Selected publications and submitted papers




1. ¡°Exponents, symmetry groups and classification of operator fractional Brownian motions¡±, with Vladas Pipiras. To appear in Journal of Theoretical Probability.



2. ¡°Integral representations and properties of operator fractional Brownian motions¡±, with Vladas Pipiras. Bernoulli 17(1), pp.1-33 (2011).



3. ¡°Adaptive wavelet decompositions of stationary time series¡±, with Vladas Pipiras. Journal of Time Series Analysis, vol. 31, issue 3, May, pp.182-209 (2010).



4. ¡°On the Behrens-Fisher problem: a globally convergent algorithm and a finite-sample study of the Wald, LR and LM Tests¡±, with Alexandre Belloni. Annals of Statistics, vol. 36, no. 5, pp.2377-2408 (2008).



5. ¡°Gaussian stationary processes: discrete approximations, adaptive wavelet decompositions and their convergence¡±, with Vladas Pipiras. Journal of Fourier Analysis and Applications, vol. 14, no. 2, April, pp.203-234 (2008).




Working papers


6. ¡°Riesz property of L2-unbounded transformation of orthogonal wavelet bases¡±, with Vladas Pipiras.

7. ¡°Subdiffusion detection in microrheological experiments¡±, with John Fricks.

8. ¡°On multivariate long range dependence¡±.

9. ¡°Multivariate adaptive wavelet decompositions¡±, with Vladas Pipiras.

 
 







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