# Raazesh Sainudiin: An Interval Tree Arithmetic for Computationally Amenable Operations with Maps in Some Metric Spaces

**Time:
**
Wed 2015-09-09 10.00 - 11.45

**Lecturer: **
Raazesh Sainudiin, University of Canterbury, Christchurch, N.Z.

**Location: **
Room 16, building 5, Kräftriket, Department of mathematics, Stockholm University

I will spend the first part of the talk on an introduction to interval analysis (for general maths audience). In the second part of the talk I will introduce an arithmetic with planar binary trees that are used to represent maps and show how this is used to solve some concrete real-world problems, including nonparametric density estimation, dynamic air-traffic representation, tighter range enclosures of interval-valued functions that can be expressed via finitely many real arithmetic operations, and simulation from challenging densities in up to 10 dimensions.

References:

http://tinyurl.com/oxrgse4

http://tinyurl.com/pakpny9

http://dx.doi.org/10.1145/2414416.2414422

http://arc.aiaa.org/doi/abs/10.2514/1.I010015