SISSA OpenScience

SISSA Open Science is a digital repository providing free, open access to SISSA academic scientific production before it is refereed, according to SISSA Regulation on open access (approved in December, 2016).

This repository includes SISSA preprints, unpublished proceedings of conferences held in SISSA, lecture notes and presentations by SISSA professors.

If you want to include one or more of the aforementioned documents in the SISSA Open Science repository, please send your pdf file to library@sissa.it.

Before posting your preprint, remember to check your publisher's policy in the SHERPA/RoMEO database.

 

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Recent Submissions

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Γ-CONVERGENCE AND STOCHASTIC HOMOGENIZATION FOR FUNCTIONALS IN THE A-FREE SETTING
(2025-09-02) Dal Maso, Gianni; Ferreira, Rita; Fonseca, Irene
We obtain a compactness result for Γ-convergence of integral functionals defined on A-free vector fields. This is used to study homogenization problems for these functionals without periodicity assumptions. More precisely, we prove that the homogenized integrand can be obtained by taking limits of minimum values of suitable minimization problems on large cubes, when the side length of these cubes tends to +∞, assuming that these limit values do not depend on the center of the cube. Under the usual stochastic periodicity assumptions, this result is then used to solve the stochastic homogenization problem by means of the subadditive ergodic theorem.
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Existence of spiral strategies for blocking fire spreading
(2025-08-07) Bianchini, Stefano; Zizza, Martina
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A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation
(2025-06-25) Dal Maso, Gianni; Donati, Davide
We associate to every function u ∈ GBD(Ω) a measure µu with values in the space of symmetric matrices, which generalises the distributional symmetric gradient Eu defined for functions of bounded deformation. We show that this measure µu admits a decomposition as the sum of three mutually singular matrix-valued measures µau, µcu, and µju, the absolutely continuous part, the Cantor part, and the jump part, as in the case of BD(Ω) functions. We then characterise the space GSBD(Ω), originally defined only by slicing, as the space of functions u ∈ GBD(Ω) such that µcu = 0.
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Duality-Symmetry Enhancement in Maxwell Theory
(2025-05-07) Meynet, Shani; Migliorati, Daniele; Savelli, Raffaele; Tortora, Michele
Free Maxwell theory on general four-manifolds may, under certain conditions on the background geometry, exhibit holomorphic factorization in its partition function. We show that when this occurs, new discrete symmetries emerge at orbifold points of the conformal manifold. These symmetries, which act only on a sublattice of flux configurations, are not associated with standard dualities, yet they may carry ’t Hooft anomalies, potentially causing the partition function to vanish even in the absence of apparent pathologies. We further explore their non-invertible extensions and argue that their anomalies can account for zeros of the partition function at smooth points in the moduli space
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