Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

3 results

  • 12 - Incidence Applications in Rd

  • Adam Sheffer, Bernard M. Baruch College, City University of New York
  • Book:
    Polynomial Methods and Incidence Theory
    Published online:
    17 March 2022
    Print publication:
    24 March 2022, pp 172-181

  • Summary

    In Chapter 11 we derived general point-variety incidence bounds in R^d. We now study two applications of these bounds. These applications do not require reading any part of Chapter 11, except for the statement of Theorem 11.3. The first application comes from discrete geometry and is another distinct distances problem. Specifically, it is a distinct distances problem with local properties. The second application is a discrete Fourier restriction problem from harmonic analysis. For simplicity, we only discuss the combinatorial aspect of that problem. This aspect is the additive energy of points on a hypersphere.

  • SINGULARITIES OF EVOLUTES OF HYPERSURFACES IN HYPERBOLIC SPACE

  • Shyuichi Izumiya, Donghe Pei, Masatomo Takahashi
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 47 / Issue 1 / February 2004
    Published online by Cambridge University Press:
    27 May 2004, pp. 131-153
    • Article
      • You have access
    • PDF
    • Export citation

  • We study the differential geometry of hypersurfaces in hyperbolic space. As an application of the theory of Lagrangian singularities, we investigate the contact of hypersurfaces with families of hyperspheres or equidistant hyperplanes.

    AMS 2000 Mathematics subject classification: Primary 53A35. Secondary 58C27

  • The distribution of the distance between random points

  • Vangalur S. Alagar
  • Journal:
    Journal of Applied Probability / Volume 13 / Issue 3 / September 1976
    Published online by Cambridge University Press:
    14 July 2016, pp. 558-566
    Print publication:
    September 1976

  • This paper considers the distribution of distance between random points and shows how the distribution can be found when the points are chosen uniformly and independently in a hypersphere or in two adjacent unit squares. The value of a powerful extension of the classical Crofton technique is illustrated here for solving such geometric probability problems. This method is quite different from those employed by Hammersley and Oser.