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Dimensions of average conformal repeller
Hausdorff dimension Non-conformal repellers Topological pressure
2011/10/19
In this paper, average conformal repeller is defined, which is generalization of conformal repeller. Using thermodynamic formalism for sub-additive potential defined in [5],Hausdorff dimension and box...
Search for conformal invariance incompressible two-dimensional turbulence
two-dimensional turbulence conformal invarianc incompressible SLE
2011/7/5
We present a search for conformal invariance in vorticity isolines of two-dimensional compressible
turbulence. The vorticity is measured by tracking the motion of particles that float at the surface ...
Conformal Invariance in Inverse Turbulent Cascades
Conformal Invariance Inverse Turbulent Cascades
2010/12/28
We study statistical properties of turbulent inverse cascades in a class of nonlinear models describ-ing a scalar field transported by a two-dimensional incompressible flow. The class is characterized...