We prove two geometric lemmas for SN-1-valued functions that allow to modify sequences of lattice spin functions on a small percentage of nodes during a discrete-to-continuum process so as to have a fixed average. This is used to simplify known formulas for the homogenization of spin systems.
Braides, A., Vallocchia, V. (2021). Two geometric lemmas for {ðN}-1-valued maps and an application to the homogenization of spin systems. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 27 [10.1051/cocv/2021007].
Two geometric lemmas for {ðN}-1-valued maps and an application to the homogenization of spin systems
Andrea Braides
;Valerio Vallocchia
2021-01-01
Abstract
We prove two geometric lemmas for SN-1-valued functions that allow to modify sequences of lattice spin functions on a small percentage of nodes during a discrete-to-continuum process so as to have a fixed average. This is used to simplify known formulas for the homogenization of spin systems.File in questo prodotto:
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