Full Professor,
SISSA, Trieste, and Dip. Mat. Univ. Roma "Tor Vergata"
Email: braides AT mat.uniroma2.it
Home-page: http://www.mat.uniroma2.it/~braides/
Available papers (135):
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- A. Braides (Comptes Rendus - Série Mathématique)
A simplified counterexample to the integral representation of the relaxation of double integrals (2024)
- A. Braides - G. Dal Maso (J. Functional Anal.)
Validity and failure of the integral representation of Γ-limits of convex non-local functionals (2024)
- A. Braides - S. Scalabrino - C. Trifone (Submitted Paper)
Homogenization of non-local energies on disconnected sets (2024)
- A. Braides - G. C. Brusca - D. Donati (Milan J. Math)
Another look at elliptic homogenization (2024)
- A. Braides - A. Chambolle (Tunisian J. Math.)
Ising systems, measures on the sphere, and zonoids (2024)
- A. Braides - E. Voglino - M. Zanardini (Netw. Heterogen. Media)
Microstructures and anti-phase boundaries in long-range lattice systems (2024)
- A. Braides - G. Noselli - S. Vincini (Accepted Paper)
Elastic bodies with kinematic constraints on many small regions (2024)
- A. Braides - G. Dal Maso - C. Le Bris (Preprint)
A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations (2024)
- A. Braides - G. Dal Maso - C. Le Bris (Ann. Inst. H. Poincaré Anal. Non Linéaire)
A closure theorem for $\Gamma$-convergence and H-convergence with applications to non-periodic homogenization (2024)
- A. Braides - G. Dal Maso (Calc. Var. Partial Differential Equations)
Compactness for a class of integral functionals with interacting local and non-local terms (2023)
- A. Braides - L. D'Elia (Nonlinear Analysis)
Homogenization of discrete thin structures (2023)
- A. Braides - M. Caroccia (J. Nonlinear Sci.)
Asymptotic behavior of the Dirichlet energy on Poisson point clouds (2023)
- I. Anello - A. Braides - F. Caragiulo (Math. Meth. Appl. Sci.)
A note on the homogenization of incommensurate thin films (2023)
- A. Braides - A. Causin - M. Solci (Adv. Calc. Var.)
Discrete approximation of nonlocal-gradient energies (2023)
- A. Braides - G. Dal Maso (J. Math. Pures Appl.)
Continuity of some non-local functionals with respect to a convergence of the underlying measures (2023)
- R. Alicandro - N. Ansini - A. Braides - A. Piatnitski - A. Tribuzio (Book: SpringerBriefs on PDEs and Data Science)
A Variational Theory of Convolution-type Functionals (2023)
- A. Braides - G. C. Brusca (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.)
Asymptotic behaviour of the capacity in two-dimensional heterogeneous media (2023)
- A. Braides - A. Causin - M. Solci - L. Truskinovsky (Archive for Rational Mechanics and Analysis)
Beyond the classical Cauchy-Born rule (2023)
- R. Alicandro - A. Braides - M. Solci - G. Stefani (Submitted Paper)
Topological singularities arising from fractional-gradient energies (2023)
- R. Alicandro - A. Braides - M. Cicalese - M. Solci (Book: Cambridge University Press)
Discrete Variational Problems with Interfaces (2023)
- A. Braides - A. Piatnitski (Arch. Rational Mech. Anal.)
Homogenization of ferromagnetic energies on Poisson random sets in the plane (2022)
- R. Alicandro - A. Braides - M. Cicalese - L. De Luca - A. Piatnitski (Arch. Ration. Mech. Anal.)
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches (2022)
- A. Braides - A. Piatnitski (Adv. Calc. Var.)
Homogenization of quadratic convolution energies in periodically perforated domains (2022)
- A. Braides - V. Chiadò Piat - L. D'Elia (Nonlinear Analysis)
An extension theorem from connected sets and homogenization of non-local functionals (2021)
- A. Braides - G. Scilla - A. Tribuzio (J. Nonlinear Sci.)
Nucleation and growth of lattice crystals (2021)
- A. Braides (Lecture Notes)
Variational Problems on Networks (2021)
- A. Braides - A. Piatnitski (J.London Math Soc.)
Homogenization of random convolution energies (2021)
- A. Braides - M. Solci (Book: Birkhäuser Pathways of Mathematics)
Geometric Flows on Planar Lattices (2021)
- A. Braides - A. Tribuzio (Discrete and Continuous Dynamical Systems Series S)
Perturbed minimizing movements of families of functionals (2021)
- A. Braides - V. Vallocchia (COCV)
Two geometric lemmas for $S^{N-1}$-valued maps and an application to the homogenization of spin systems (2020)
- A. Braides - N. A. Nodargi (Math. Mech. Solids)
Homogenization of cohesive fracture in masonry structures (2020)
- A. Braides - P. Cermelli - S. Dovetta (ESAIM: Control, Optimization and Calculus of Variations)
$\Gamma$-limit of the cut functional on dense graph sequences (2020)
- A. Bach - A. Braides - C. I. Zeppieri (Interfaces Free Bound.)
Quantitative analysis of finite-difference approximations of free-discontinuity problems (2020)
- A. Bach - A. Braides - M. Cicalese (SIAM J. Math. Anal.)
Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions (2020)
- A. Braides - M. Solci (Adv. Nonlin. Studies)
Compactness by coarse-graining in long-range lattice systems (2020)
- A. Braides - A. Malusa - M. Novaga (Ann. Scuola Normale Sup.Pisa)
Crystalline evolutions with rapidly oscillating forcing terms (2020)
- A. Braides - V. Chiadò Piat (Applicable Analysis)
Homogenization of networks in domains with oscillating boundaries (2019)
- N. Ansini - A. Braides - J. Zimmer (Proc. Roy. Soc. Edinburgh A)
Minimising movements for oscillating energies: the critical regime (2019)
- A. Braides - A. Causin - M. Solci (Ann.Mat.Pura Appl)
Asymptotic analysis of a ferromagnetic Ising system with "diffuse" interfacial energy (2018)
- A. Braides (Book Chapter- Trends in Applications of Mathematics to Mechanics (E.Rocca et al, eds) Springer)
Rigidity effects for antiferromagnetic thin films: a prototypical example (2018)
- A. Braides - M. Cicalese - M. Ruf (Analysis & PDE)
Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (2018)
- A. Braides - L. Kreutz (Calc. Var. Partial Diff. Equations)
Design of lattice surface energies (2018)
- A. Braides - V. Vallocchia (Acta Applicandae Mathematicae)
Static, Quasi-static and Dynamic Analysis for Scaled Perona-Malik Functionals (2018)
- A. Braides - A. Causin - A. Piatnitski - M. Solci (J. Stat. Phys.)
Asymptotic behaviour of ground states for mixtures of ferromagnetic and antiferromagnetic interactions in a dilute regime (2018)
- A. Braides - L. Kreutz (SIAM J. Math. Anal.)
An integral-representation result for continuum limits of discrete energies with multi-body interactions (2018)
- A. Braides - A. Causin - M. Solci (Proceedings A. Roy. Soc. London)
A homogenization result for interacting elastic and brittle media (2018)
- A. Braides - M. Cicalese (Arch. Ration. Mech. Anal.)
Interfaces, modulated phases and textures in lattice systems (2017)
- A. Braides - A. Cancedda - V. Chiadò Piat (ESAIM: Control Optim. Calc. Var.)
Homogenization of metrics in oscillating manifolds (2017)
- A. Braides - A. Causin - M. Solci (Preprint)
Homogenization of interacting media (2017)
- A. Braides - M. S. Gelli (ESAIM: M2AN)
Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems (2017)
- A. Braides - L. Kreutz (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions (2017)
- A. Braides - S. Conti - A. Garroni (Calc. Var. Partial Diff. Equations)
Density of polyhedral partitions (2017)
- A. Braides - B. Cassano - A. Garroni - D. Sarrocco (Annales de l'Institut Henri Poincaré)
Quasi-static damage evolution and homogenization: a case study of non-commutability (2016)
- A. Braides - M. Colombo - M. Gobbino - M. Solci (C. R. Acad. Sci. Paris, Ser. I)
Minimizing movements along a sequence of functionals and curves of maximal slope (2016)
- A. Braides - V. Chiadò Piat - M. Solci (Math. Mech. Complex Syst.)
Discrete double-porosity models for spin systems (2016)
- A. Braides - M. Solci (J. Nonlinear Sci.)
Motion of discrete interfaces through mushy layers (2016)
- A. Braides - M. S. Gelli (J. Mech. Phys. Solids)
Asymptotic analysis of microscopic impenetrability constraints for atomistic systems (2016)
- A. Braides - M. Cicalese - N. K. Yip (J. Stat. Phys.)
Crystalline Motion of Interfaces Between Patterns (2016)
- A. Braides - A. Garroni - M. Palombaro (Multiscale Model. Simul.)
Interfacial energies of systems of chiral molecules (2016)
- A. Braides - M. Solci (Math. Mech. Solids)
Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case (2016)
- A. Braides - M. Cicalese - F. Solombrino (SIAM J. Math. Anal.)
Q-tensor continuum energies as limits of head-to-tail symmetric spins systems (2015)
- A. Braides - V. Chiadò Piat - A. Piatnitski (SIAM J. Math. Anal.)
Homogenization of Discrete High-Contrast Energies (2015)
- A. Braides - A. Defranceschi - E. Vitali (Netw. Heterog. Media)
Variational evolution of one-dimensional Lennard-Jones systems (2014)
- A. Braides (J. Stat. Phys.)
An example of non-existence of plane-like minimizers for an almost-periodic Ising system (2014)
- A. Braides (Proceedings: International Congress of Mathematicians (ICM 2014), Seoul, 2014)
Discrete-to-Continuum Variational Methods for Lattice Systems (2014)
- A. Braides - M. Solci (Boll. Unione Mat. Ital.)
Multi-scale free-discontinuity problems with soft inclusions (2013)
- A. Braides - G. Scilla (C. R. Acad. Sci. Paris)
Nucleation and backward motion of discrete interfaces (2013)
- A. Braides - A. Piatnitski (J. Funct. Anal.)
Homogenization of surface and length energies for spin systems (2013)
- A. Braides (Book: Lecture Notes in Mathematics, Springer)
Local minimization, variational evolution and $\Gamma$-convergence (2013)
- A. Braides - M. Solci (Preprint)
Asymptotic analysis of atomistic systems with long-range interactions (2013)
- A. Braides - G. Scilla (Interfaces Free Bound.)
Motion of discrete interfaces in periodic media (2013)
- A. Braides - N. K. Yip (SIAM J. Numer Anal.)
A quantitative description of mesh dependence for the discretization of singularly perturbed non-convex problems (2012)
- A. Braides - A. Piatnitski (J. Stat. Phys.)
Variational problems with percolation: dilute spin systems at zero temperature (2012)
- A. Braides - A. Defranceschi - E. Vitali (ESAIM: M2AN)
A compactness result for a second-order variational discrete model (2011)
- A. Braides - A. Causin - M. Solci (IMA J Appl Math)
Interfacial energies on quasicrystals (2011)
- A. Braides - M. Solci (Math. Mod. Meth. Appl. Sci. (M3AS))
Interfacial energies on Penrose lattices (2011)
- A. Braides - L. Sigalotti (Calc. Var. Partial Diff. Eq.)
Models of defects in atomistic systems (2011)
- A. Braides - C. J. Larsen (Ann. Scuola Norm. Sup. Pisa)
$\Gamma$-convergence for stable states and local minimizers (2011)
- A. Braides - A. Piatnitski (Unpublished manuscript)
Variational problems with percolation: dilute spin systems at zero temperature (the 2-dimensional case) (2011)
- A. Braides - M. S. Gelli - M. Novaga (Arch. Ration. Anal. Mech.)
Motion and pinning of discrete interfaces (2010)
- A. Braides - G. Riey - M. Solci (C. R. Acad. Sci. Paris)
Homogenization of Penrose tilings (2009)
- A. Braides - C. I. Zeppieri (Interfaces Free Bound.)
Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy (2009)
- A. Braides - M. Briane - J. Casado-Diaz (Nonlinearity)
Homogenization of non-uniformly bounded periodic diffusion energies in dimension two (2009)
- A. Braides - M. Maslennikov - L. Sigalotti (Applicable Anal.)
Homogenization by blow-up (2008)
- A. Braides - A. Piatnitski (Arch. Ration. Anal. Mech.)
Overall properties of a discrete membrane with randomly distributed defects (2008)
- A. Braides - L. Sigalotti (Comptes Rendus Acad. Sci. Paris)
Asymptotic analysis of periodically-perforated nonlinear media at and close to the critical exponent (2008)
- A. Braides - G. Riey (ESAIM: M2AN)
A variational model in Image Processing with focal points (2008)
- R. Alicandro - A. Braides - M. Cicalese (Calc. Var. Partial Diff. Eq.)
Continuum limits of discrete thin films with superlinear growth densities (2008)
- A. Braides - V. Chiadò Piat (Netw. Heterog. Media)
Non convex homogenization problems for singular structures (2008)
- A. Braides - L. Truskinovsky (Cont. Mech. Therm.)
Asymptotic expansions by $\Gamma$-convergence (2008)
- A. Braides - M. Solci - E. Vitali (Networks and Heterogeneous Media)
A derivation of linear elastic energies from pair-interaction atomistic systems (2007)
- A. Braides - A. Chambolle - M. Solci (ESAIM: COCV)
A relaxation result for energies defined on pairs set-function and applications (2007)
- A. Braides - C. I. Zeppieri (Calc. Var. Partial Differential Equations)
A note on equi-integrability in dimension reduction problems (2007)
- A. Braides - A. Gloria (Multiscale Modeling and Simulation)
Exact bounds on the effective behaviour of a conducting `discrete' polycrystal (2007)
- A. Braides - M. Cicalese (Math. Mod. Meth. Appl. Sci. (M3AS))
Surface energies in nonconvex discrete systems (2007)
- A. Braides - M. Briane (Appl. Math. Optim.)
Homogenization of non-linear variational problems with thin low-conducting layers (2007)
- A. Braides ((in Handbook of Differential Equations.Stationary Partial Differential Equations, Volume 3 (M. Chipot and P. Quittner, eds.) Elsevier 2006))
A handbook of $\Gamma$-convergence (2006)
- A. Braides - A. J. Lew - M. Ortiz (Archive Rational Mech. Anal.)
Effective cohesive behavior of layers of interatomic planes (2006)
- N. Ansini - A. Braides - V. Valente (SIAM J. Math. Anal.)
Multi-scale analysis by $\Gamma$-convergence of a one-dimensional non-local functional related to a shell-membrane transition (2006)
- R. Alicandro - A. Braides - M. Cicalese (Networks and Heterogeneous Media)
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint (2006)
- A. Braides - V. Chiadò Piat (book - editors)
Topics on concentration phenomena and problems with multiple scales. Springer-Verlag, Berlin (2006)
- A. Braides - R. March (Comm. Pure Appl. Math.)
Approximation by $\Gamma$-convergence of a curvature-depending functional in Visual Reconstruction (2006)
- A. Braides - V. Chiadò Piat (Conference Proceeding)
Another brick in the wall (2005)
- R. Alicandro - A. Braides - M. Cicalese (Discrete and Continuous Dynamical Systems)
$L^\infty$ energies on discontinuous functions (2005)
- A. Braides - V. Chiadò Piat - A. Piatnitski (Asymptotic Analysis)
A variational approach to double-porosity problems (2004)
- A. Braides - G. A. Francfort (Proc. R. Soc. London A.)
Bounds on the effective behavior of a square conducting lattice (2004)
- N. Ansini - A. Braides - V. Chiadò Piat (Proc. Royal Soc. Edinburgh A)
Gradient theory of phase transitions in composite media (2003)
- A. Braides - M. S. Gelli (Conference Proceeding)
The passage from discrete to continuous variational problems: a nonlinear homogenization process (2003)
- A. Braides - A. Malchiodi (Interfaces and Free Boundary)
Curvature theory of boundary phases: the two-dimensional case (2002)
- A. Braides - A. Defranceschi - E. Vitali (Ann. Scuola Norm. Sup. Pisa (V))
Relaxation of elastic energies with free discontinuities and constraints on the strain (2002)
- A. Braides - G. Buttazzo - I. Fragalà (Asymptotic Anal.)
Riemannian approximation of Finsler metrics (2002)
- A. Braides - M. S. Gelli (J. Convex Anal.)
Limits of discrete systems with long-range interactions. (2002)
- N. Ansini - A. Braides - V. Chiadò Piat (Proc. Steklov. Math. Inst.)
Interaction between homogenization and phase-transition processes. (2002)
- A. Braides - M. S. Gelli - M. Sigalotti (Proc. Steklov. Math. Inst.)
The passage from non-convex discrete systems to variational problems in Sobolev spaces: the one-dimensional case (2002)
- A. Braides (Conference Proceeding: Conference `Homogenization and Multiple Scales', Naples, 2001.)
Discrete approximation of functionals with jumps and creases (2002)
- A. Braides - M. S. Gelli (Math. Mech. Solids)
Continuum limits of discrete systems without convexity hypotheses. (2002)
- A. Braides (Book: Oxford University Press, Oxford)
Gamma-convergence for Beginners (2002)
- N. Ansini - A. Braides (J. Math. Pures Appl.)
Asymptotic analysis of periodically-perforated nonlinear media (2002)
- K. Bhattacharya - A. Braides (Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences)
Thin films with many small cracks (2002)
- N. Ansini - A. Braides (J. d'Analyse Mathématique)
Homogenization of Oscillating Boundaries and Applications to Thin Films (2001)
- N. Ansini - A. Braides (Acta Appl. Math.)
Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media. (2001)
- A. Braides - I. Fonseca - G. A. Francfort (Indiana univ. Math. J.)
3D-2D asymptotic analysis for inhomogeneous thin films (2000)
- N. Ansini - A. Braides - V. Chiadò Piat (Boll. Un. Mat. Ital.)
Homogenization of Periodic Multi-dimensional Structures (1999)
- R. Alicandro - A. Braides - J. Shah (Interfaces Free Bound. )
Free-discontinuity problems via functionals involving the $L^1$-norm of the gradient and their approximations. (1999)
- A. Braides - G. Dal Maso - A. Garroni (Arch. Rational Mech. Anal.)
Variational formulation of softening phenomena in Fracture Mechanics: the one-dimensional case (1999)
- R. Alicandro - A. Braides - M. S. Gelli (The Royal Soc. of Edinburgh)
Free-discontinuity problems generated by singular perturbation (1998)
- L. Ambrosio - A. Braides (Paper in Volume: Homogenization and Applications to Material Sciences, (D. Cioranescu, A. Damlamian, P. Donato eds.) GAKUTO, Gakkotosho, Tokio, Japan)
Energies in SBV and variational models in fracture mechanics. (1997)
- A. Braides - A. Defranceschi - E. Vitali (Applied Math. Optim.)
A relaxation approach to Hencky's plasticity (1997)
- A. Braides - A. Defranceschi - E. Vitali (Arch. Rational Mech. Anal.)
Homogenization of Free-Discontinuity Problems (1996)
- A. Braides - V. Chiadò Piat (J. Math. Pures Appl.)
Integral representation results for functionals defined on $SBV (\Omega; R^m)$ (1996)
- L. Ambrosio - A. Braides - A. Garroni (partially unpublished manuscript)
Special functions with bounded variation and with weakly differentiable traces on the jump set (1995)
- A. Braides - A. Coscia (Proceedings of the Royal Society of Edinburgh: Section A Mathematics)
The interaction between bulk energy and surface energy in multiple integrals (1994)
- A. Braides (Applicable Anal.)
Almost periodic methods in the theory of homogenization (1992)
- L. Ambrosio - A. Braides (J. Math. Pures. Appl.)
Functionals defined on partitions of sets of finite perimeter, I: integral representation and $\Gamma$-convergence (1990)
- L. Ambrosio - A. Braides (J. Math. Pures. Appl.)
Functionals defined on partitions of sets of finite perimeter, II: semicontinuity, relaxation and homogenization (1990)
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