%0 Journal Article %1 PhysRevLett.87.124501 %A Biferale, L. %A Cencini, M. %A Lanotte, A. %A Vergni, D. %A Vulpiani, A. %D 2001 %I American Physical Society %J Phys. Rev. Lett. %K cascade cencini entrophy exit-distance exit-time multifractal turbulence %N 12 %P 124501 %R 10.1103/PhysRevLett.87.124501 %T Inverse Statistics of Smooth Signals: The Case of Two Dimensional Turbulence %V 87 %X The problem of inverse statistics (statistics of distances for which the signal fluctuations are larger than a certain threshold) in differentiable signals with power law spectrum, E(k)∼k-α, 3≤α<5, is discussed. We show that for these signals, with random phases, exit-distance moments follow a bifractal distribution. We also investigate two dimensional turbulent flows in the direct cascade regime, which display a more complex behavior. We give numerical evidences that the inverse statistics of 2D turbulent flows is described by a multifractal probability distribution; i.e., the statistics of laminar events is not simply captured by the exponent α characterizing the spectrum.

@article{PhysRevLett.87.124501, abstract = {The problem of inverse statistics (statistics of distances for which the signal fluctuations are larger than a certain threshold) in differentiable signals with power law spectrum, E(k)∼k-α, 3≤α<5, is discussed. We show that for these signals, with random phases, exit-distance moments follow a bifractal distribution. We also investigate two dimensional turbulent flows in the direct cascade regime, which display a more complex behavior. We give numerical evidences that the inverse statistics of 2D turbulent flows is described by a multifractal probability distribution; i.e., the statistics of laminar events is not simply captured by the exponent α characterizing the spectrum.}, added-at = {2007-10-05T00:34:21.000+0200}, author = {Biferale, L. and Cencini, M. and Lanotte, A. and Vergni, D. and Vulpiani, A.}, biburl = {https://www.bibsonomy.org/bibtex/2de956a1f9ef06a2f03b13785ced63cc3/mcencini}, description = {Phys. Rev. Lett. 87 (2001): L. Biferale, M. Cencini, A. Lanotte, D. Vergni, and A. Vulpiani - Inverse Statistics of Smooth...}, doi = {10.1103/PhysRevLett.87.124501}, interhash = {e6c496fb6e7675b69f29eec45869ed59}, intrahash = {de956a1f9ef06a2f03b13785ced63cc3}, journal = {Phys. Rev. Lett.}, keywords = {cascade cencini entrophy exit-distance exit-time multifractal turbulence}, month = Aug, number = 12, numpages = {4}, pages = 124501, publisher = {American Physical Society}, timestamp = {2007-10-05T00:47:00.000+0200}, title = {Inverse Statistics of Smooth Signals: The Case of Two Dimensional Turbulence}, volume = 87, year = 2001 }