Some Novel Types of Fractal Geometry

By S. Semmes. 2001

75 citations recorded by the source corpus.

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Modulus and the Poincaré inequality on metric measure spaces (2003, methodology): “This view of the Poincar´ e inequality is nicely expressed by the definition for admitting Poincar´ e inequalities due to Semmes [ Sem01 , pp.15–16].”
Geometric Implications of the Poincaré Inequality (2007, methodology): “there exists a constant such that every pair of points can be connected with a curve whose length is at most the constant times the distance between the points, see [5, 14, 17 ].”
Geometric embeddings of metric spaces (2003, unknown): “Read more on doubling spaces in [5], [77], [23], [51], [57], [37], [ 65 ], [12], [50].”
Lectures on Lipschitz analysis (2005, unknown): “References to the topics advertized in this introduction include [18], [50], [17], [80], [20], [59], [16], [25], [ 63 ], [5], [67], [64], [47], [73], [62], [43].”
Characteristic points, rectifiability and perimeter measure on stratified groups (2006, background): “The project of developing analysis in metric spaces is receiving remarkable attention in the last few years, with several monographs on this topic [7], [18], [35], [36], [64].”
TOWARDS DIFFERENTIAL CALCULUS IN STRATIFIED GROUPS (2007, methodology): “This project belongs to the general program of developing Analysis in metric spaces, as explained in several books [2], [6], [16], [27], [29], [ 61 ].”