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Grant Award View - GA68601

Measure theoretic frameworks for limsup sets

Contact Details

ARC NCGP General Enquiries

Phone:
02 6281 6600

Email Address:

GA ID:
GA68601
Agency:
Australian Research Council
Approval Date:
19-Dec-2019
Publish Date:
6-Jan-2020
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
1-Jan-2020 to 31-Dec-2022
Value (AUD):
$405,000.00 (GST inclusive where applicable)

Ad hoc/One-off:
No
Aggregate Grant Award:
No

PBS Program Name:
ARC 19/20 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Measure theoretic frameworks for limsup sets
Purpose:
This project aims to develop new powerful measure theoretic techniques in mathematics that will be used in establishing some indispensable results in analytical number theory (Diophantine approximation) and dynamical systems. The plan is to construct new techniques and to use them in situations where existing techniques are not applicable. As a consequence of the proposed frameworks, not only we aim to resolve a few long-standing problems such as the Generalised Baker-Schmidt Problem (1970) but also envisage that the proposed frameworks will have far-reaching applications beyond the confines of Diophantine approximation and dynamical systems, for example, geometric measure theory, geometric probability and stochastic geometry etc.

GO ID:
GO Title:
Discovery Projects for funding commencing in 2020
Internal Reference ID:
DP20 Round 1
Selection Process:
Targeted or Restricted Competitive

Confidentiality - Contract:
No
Confidentiality - Outputs:
No

Grant Recipient Details

Recipient Name:
La Trobe University
Recipient ABN:
64 804 735 113

Grant Recipient Location

Suburb:
BUNDOORA
Town/City:
BUNDOORA
Postcode:
3086
State/Territory:
VIC
Country:
AUSTRALIA

Grant Delivery Location

State/Territory:
VIC
Postcode:
3086
Country:
AUSTRALIA

Contact Details

ARC NCGP General Enquiries

Phone:
02 6281 6600

Email Address: