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Quasiconformal Methods in Analysis and Applications

Project description

Mathematical models to explain natural phenomena: tomography, turbulence and random tilings

Scaling invariance occurs in different forms in many natural phenomena. A well known example of a rough scale invariance is the fractal nature of a shoreline. From a mathematical point, explaining and making use of the scale invariance leads to the method of conformal (shape preserving) and quasiconformal mappings (that preserve shapes only roughly). Fourier analysis, where one decomposes a signal into its constituent frequencies, provides a related approach to analyse complicated natural phenomena. QUAMAP is devoted to applying aspects of modern mathematical analysis, from quasiconformal mappings to Fourier analysis, to several problems arising in mathematical physics. Using these tools, along with nonlinear analogues, the project hopes to shed light on diverse challenging problems including the geometry of energy minimisers, scaling limits in random geometry, an imaging technique based on electrical surface measurements, as well as the behaviour of fluids in turbulent regimes.

Field of science

  • /natural sciences/mathematics/pure mathematics/mathematical analysis/fourier analysis

Call for proposal

ERC-2018-ADG
See other projects for this call

Funding Scheme

ERC-ADG - Advanced Grant

Host institution

AALTO KORKEAKOULUSAATIO SR
Address
Otakaari 1
02150 Espoo
Finland
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 323 000

Beneficiaries (4)

AALTO KORKEAKOULUSAATIO SR
Finland
EU contribution
€ 1 323 000
Address
Otakaari 1
02150 Espoo
Activity type
Higher or Secondary Education Establishments
UNIVERSIDAD AUTONOMA DE MADRID
Spain
EU contribution
€ 405 750
Address
Calle Einstein 3 Ciudad Univ Cantoblanco Rectorado
28049 Madrid
Activity type
Higher or Secondary Education Establishments
AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS
Spain
EU contribution
€ 366 100
Address
Calle Serrano 117
28006 Madrid
Activity type
Research Organisations
HELSINGIN YLIOPISTO
Finland
EU contribution
€ 185 500
Address
Yliopistonkatu 3
00014 Helsingin Yliopisto
Activity type
Higher or Secondary Education Establishments