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Space–time shape uncertainties in the forward and inverse problem of electrocardiography

Gander, Lia ; Krause, Rolf ; Multerer, Michael ; Pezzuto, Simone

In: International journal for numerical methods in biomedical engineering, 2021, vol. 37, no. 10, p. 23

In electrocardiography, the “classic” inverse problem is the reconstruction of electric potentials at a surface enclosing the heart from remote recordings at the body surface and an accurate description of the anatomy. The latter being affected by noise and obtained with limited resolution due to clinical constraints, a possibly large uncertainty may be perpetuated in the inverse ...

Lagrangian Reductions and Integrable Systems in Condensed Matter

Gay-Balmaz, François ; Monastyrsky, Michael ; Ratiu, Tudor

In: Communications in Mathematical Physics, 2015, vol. 335, no. 2, p. 609-636

Dimensional estimates for singular sets in geometric variational problems with free boundaries

De Philippis, Guido ; Maggi, Francesco

In: Journal für die reine und angewandte Mathematik (Crelles Journal), 2017, vol. 2017, no. 725, p. 217-234

Center-stable manifold of the ground state in the energy space for the critical wave equation

Krieger, Joachim ; Nakanishi, Kenji ; Schlag, Wilhelm

In: Mathematische Annalen, 2015, vol. 361, no. 1-2, p. 1-50

Canonical coordinates with tame estimates for the defocusing NLS equation on the circle

Kappeler, Thomas

In: International Mathematics Research Notices, ///-

The Lagrangian Cubic Equation

Biran, Paul ; Membrez, Cedric

In: International Mathematics Research Notices, 2016, vol. 2016, no. 9, p. 2569-2631

Hamiltonian Anomalies from Extended Field Theories

Monnier, Samuel

In: Communications in Mathematical Physics, 2015, vol. 338, no. 3, p. 1327-1361

Morphological Diversity Strongly Constrains Synaptic Connectivity and Plasticity

Reimann, Michael W. ; Horlemann, Anna-Lena ; Ramaswamy, Srikanth ; Muller, Eilif B. ; Markram, Henry

In: Cerebral Cortex, 2017, vol. 27, no. 9, p. 4570-4585

Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds

Grohs, P. ; Hosseini, S.

In: Ima Journal of Numerical Analysis, 2016, vol. 36, no. 3, p. 1167-1192

Lagrangian cobordism and Fukaya categories

Biran, Paul ; Cornea, Octav

In: Geometric and Functional Analysis, 2014, vol. 24, no. 6, p. 1731-1830