| EPSRC Reference: |
EP/H043004/1 |
| Title: |
Geometry of Lipschitz mappings |
| Principal Investigator: |
Maleva, Dr O |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Birmingham |
| Scheme: |
First Grant - Revised 2009 |
| Starts: |
23 August 2010 |
Ends: |
22 August 2012 |
Value (£): |
100,662
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| EPSRC Research Topic Classifications: |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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04 Mar 2010
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Mathematics Prioritisation Panel
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Announced
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Summary on Grant Application Form |
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Non-differentiable functions and deformations have become essential in a wide range of applications of today's Mathematical Analysis, from understanding the motion of fluids to controlling robots and modelling stock exchange prices. An important class of functions that model distortions and deformations are Lipschitz maps. One of the key problems in studying the local behaviour of Lipschitz maps is whether they look like affine or smooth ones close to some points, or even close to many points. The goal of the proposed research is to contribute to the solution of such key open problems. The research will employ new geometric constructions and methods; for instance, it is proposed that one can form a set consisting of points distributed so sparsely that they almost avoid any curve, yet any Lipschitz map will look like a smooth map (be differentiable) at a typical point of this 'thin' set. This will in particular lead to a solution of a long-standing open question in geometric measure theory.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.bham.ac.uk |