منابع مشابه
Conformal Assouad Dimension and Modulus
Let α ≥ 1 and let (X, d, μ) be an α-homogeneous metric measure space with conformal Assouad dimension equal to α. Then there exists a weak tangent of (X, d, μ) with uniformly big 1-modulus.
متن کاملConformal Dimension and Random Groups
We give a lower and an upper bound for the conformal dimension of the boundaries of certain small cancellation groups. We apply these bounds to the few relator and density models for random groups. This gives generic bounds of the following form, where l is the relator length, going to infinity. (a) 1 + 1/C < Cdim(∂∞G) < Cl/ log(l), for the few relator model, and (b) 1 + l/(C log(l)) < Cdim(∂∞G...
متن کاملEfficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension.
We describe a fast and accurate method to compute the pressure and equilibrium states for maps of the interval T:[0,1]-->[0,1] with respect to potentials phi:[0,1]-->R. An approximate Ruelle-Perron-Frobenius operator is constructed and the pressure read off as the logarithm of the leading eigenvalue of this operator. By setting phi identical with 0, we recover the topological entropy. The confo...
متن کاملDimension-Extended Topological Relationships
analysis. In Proc. 21st Int. Conf. on Machine Learning, 2004. 5. Ding C., He X., Zha H., and Simon H. Unsupervised learning: self-aggregation in scaled principal component space. Principles of Data Mining and Knowledge Discovery, 6th European Conf., 2002, pp. 112–124. 6. Fiedler M. Algebraic connectivity of graphs. Czech. Math. J., 23:298–305, 1973. 7. Hagen M. and Kahng A.B. New spectral metho...
متن کاملEstimation of Topological Dimension
We present two extensions of the algorithm by Broomhead et al [2] which is based on the idea that singular values that scale linearly with the radius of the data ball can be exploited to develop algorithms for computing topological dimension and for detecting whether data models based on manifolds are appropriate. We present a geometric scaling property and dimensionality criterion that permit ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Conformal Geometry and Dynamics of the American Mathematical Society
سال: 2015
ISSN: 1088-4173
DOI: 10.1090/s1088-4173-2015-00274-x