Senza oggetto
Sab 22 Nov 2025 18:35:39 CET
functionals whose minimizers mimic some of the shapes found in the
biological world.
In this talk I shall discuss three functionals, modeling
(i) the total amount of sunlight captured by the leaves of a tree,
(ii) the amount of nutrients collected by the roots, and
(iii) a ``ramified transportation cost=E2=80=9D, for transporting nutrients=
from
the roots to the base of the trunk, or from the base of the trunk to the
leaves.
The talk will address the existence and properties of optimal solutions.
Recent work has also focused on the approximation of the ramified transport
cost with more regular functionals,
proving Gamma-convergence. This leads to new computational algorithms.
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Seguir=C3=A0 un rinfresco.
Cordiali saluti,
Paola Frediani,
Paolo Lorenzoni
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