Grant: Canada Research Chairs
The University of British Columbia
$120,000.00
Probability
EF 2023-24
Résumé
Suppose that you are given the shape of an object, what can you calculate about the behaviour of heat diffusion of that object? Conversely, if you are given the behaviour of heat diffusion of an object, can you deduce some information about its shape? Which geometric features of the object are really essential to determine the behaviour of heat diffusion? How do small changes to the shape of an object affect the behaviour of heat diffusion? These fundamental questions and their variants will be explored in the proposed research program using ideas from probability theory and differential equations.
Programme
Canada Research Chairs
Bénéficiaire
Emplacement
British Columbia, Canada
Type de bénéficiaire
Academia
Type
Grant
Source
NSERC's Awards Data
Tel que publié
Application id
CRC-2018-00212
Name nom
Murugan, Mathav
Department département
Mathematics - The University of British Columbia
Organization id
2
Institution établissement
The University of British Columbia
Province en
British Columbia
Province fr
Colombie-Britannique
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2023
Competition year année de concours
2018
Award amount
120000
Program id
CRC
Program name en
Canada Research Chairs
Program name fr
Chaires de recherche du Canada
Group en
DISCOVERY RESEARCH
Group fr
RECHERCHE AXÉE SUR LA DÉCOUVERTE
Committee code
9998
Committee name en
Canada Research Chair Selection Committee
Committee name fr
Comité de sélection des Chaires de recherche du Canada
Area of application code
9999
Area of application group en
Not available
Area of application group fr
Non disponible
Area of application en
Not available
Area of application fr
Non disponible
Research subject code
10000
Research subject group en
The field of research available
Research subject group fr
The field of research available
Research subject en
Le domaine de recherche disponible
Research subject fr
Le domaine de recherche disponible
Field of research list codes
RDF10101;RDF10103
Field of research list names en
Pure mathematics;Statistics
Field of research list names fr
Mathématiques pures;Statistique
Application title
Probability
Keyword
Markov Process
Random walks
Diffusions
Heat ; equation
Heat kernel estimates
Harnack inequalities
Jump processes
Gaussian estimates
Sub-Gaussian estimate
Boundary Harnack principle
Boundary theory of Markov process.
Application summary
Suppose that you are given the shape of an object, what can you calculate about the behaviour of heat diffusion of that object? Conversely, if you are given the behaviour of heat diffusion of an object, can you deduce some information about its shape? Which geometric features of the object are really essential to determine the behaviour of heat diffusion? How do small changes to the shape of an object affect the behaviour of heat diffusion? These fundamental questions and their variants will be explored in the proposed research program using ideas from probability theory and differential equations.
