WebJ., Bourgain [1994] Hausdorff dimension and distance sets, Israel J. Math. 87, 193–201. J., Bourgain [1995] Some new estimates on oscillatory integrals, in Essays on Fourier Analysis in Honor of Elias M. Stein, Princeton University Press, 83–112. Web31 de mai. de 2024 · We establish the dimension version of Falconer's distance set conjecture for sets of equal Hausdorff and packing dimension (in particular, for Ahlfors …
Dynamical Systems Around the Rauzy Gasket and Their Ergodic …
Web10 de out. de 2011 · Download Citation On the Distance Sets of Self-Similar Sets We show that if K is a self-similar set in the plane with positive length, then the distance set of K has Hausdorff dimension one ... WebAccording to a result of K. Falconer (1985), the setD(A)={ x−y ;x, y ∈A} of distances for a Souslin setA of ℝ n has positive 1-dimensional measure provided the Hausdorff … easton ghost fastpitch unlimited
Hausdor Measure - University of Washington
WebIn particular, the Hausdorff dimension of the limit set will be computed. This is based on a joint work with Mathieu Dussaule and Longmin Wang. Watch. Notes. Counting incompressible surfaces in 3-manifolds - Nathan DUNFIELD, ... We will compare the new distance with other known distances: Teichmueller distance, Weil-Petersson distance. Web2 de mar. de 2024 · The existence of Arnoux–Rauzy IETs with two different invariant probability measures is established in [].On the other hand, it is known (see []) that all Arnoux–Rauzy words are uniquely ergodic.There is no contradiction with our Theorem 1.1, since the symbolic dynamical system associated with an Arnoux–Rauzy word is in … WebThe Mumford–Shah functional is a functional that is used to establish an optimality criterion for segmenting an image into sub-regions. An image is modeled as a piecewise-smooth function. The functional penalizes the distance between the model and the input image, the lack of smoothness of the model within the sub-regions, and the length of the boundaries … easton ghost fastpitch limited edition