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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.

Host institution

HELSINGIN YLIOPISTO
Net EU contribution
€ 1 107 138,75
Address
Yliopistonkatu 3
00014 Helsingin Yliopisto
Finland

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Region
Manner-Suomi Helsinki-Uusimaa Helsinki-Uusimaa
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00

Beneficiaries (4)

HELSINGIN YLIOPISTO
Finland
Net EU contribution
€ 1 107 138,75
Address
Yliopistonkatu 3
00014 Helsingin Yliopisto

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Region
Manner-Suomi Helsinki-Uusimaa Helsinki-Uusimaa
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
UNIVERSIDAD AUTONOMA DE MADRID
Spain
Net EU contribution
€ 405 750,00
Address
Calle Einstein 3 Ciudad Univ Cantoblanco Rectorado
28049 Madrid

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Region
Comunidad de Madrid Comunidad de Madrid Madrid
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Spain
Net EU contribution
€ 366 100,00
Address
Calle Serrano 117
28006 Madrid

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Region
Comunidad de Madrid Comunidad de Madrid Madrid
Activity type
Research Organisations
Non-EU contribution
€ 0,00
AALTO KORKEAKOULUSAATIO SR

Participation ended

Finland
Net EU contribution
€ 401 361,25
Address
Otakaari 1
02150 Espoo

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Region
Manner-Suomi Helsinki-Uusimaa Helsinki-Uusimaa
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00