Andrea Braides
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Italian mathematician
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Why Is Andrea Braides Influential?
(Suggest an Edit or Addition)According to Wikipedia, Andrea Braides is an Italian mathematician, specializing in the calculus of variations. He is a professor at the University of Rome Tor Vergata and at the International School for Advanced Studies in Triest.
Andrea Braides's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Γ-convergence for beginners (2002) (1083)
- Approximation of Free-Discontinuity Problems (1998) (660)
- Homogenization of Multiple Integrals (1999) (488)
- Gamma-Convergence for Beginners (2002) (445)
- Variational Formulation of Softening Phenomena in Fracture Mechanics: The One‐Dimensional Case (1999) (157)
- 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films (2000) (141)
- Local Minimization, Variational Evolution and Γ-Convergence (2013) (138)
- Asymptotic expansions by Γ-convergence (2008) (126)
- Homogenization of free discontinuity problems (1996) (95)
- A-QUASICONVEXITY: RELAXATION AND HOMOGENIZATION (2000) (95)
- Continuum Limits of Discrete Systems without Convexity Hypotheses (2002) (88)
- Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint (2007) (86)
- Effective Cohesive Behavior of Layers of Interatomic Planes (2006) (81)
- Non-local approximation of the Mumford-Shah functional (1997) (80)
- Limits of Discrete Systems with Long-Range Interactions (2003) (78)
- Surface energies in nonconvex discrete systems (2007) (66)
- Chapter 2 A handbook of Г-convergence (2006) (65)
- Relaxation results for some free discontinuity problems. (1995) (58)
- Integral representation results for functionals defined on SBV(?; Rm) (1996) (58)
- Homogenization of surface and length energies for spin systems (2013) (57)
- REITERATED HOMOGENIZATION OF INTEGRAL FUNCTIONALS (2000) (54)
- Brittle Thin Films (2001) (54)
- Free-discontinuity problems via functionals involving the L1-norm of the gradient and their approximations (1999) (52)
- A derivation of linear elastic energies from pair-interaction atomistic systems (2007) (50)
- Homogenization of oscillating boundaries and applications to thin films (2000) (40)
- Asymptotic analysis of periodically-perforated nonlinear media (2002) (40)
- Gradient theory of phase transitions in composite media (2003) (39)
- Interfaces, Modulated Phases and Textures in Lattice Systems (2017) (37)
- Homogenization of almost periodic monotone operators (1992) (37)
- A relaxation result for energies defined on pairs set-function and applications (2007) (37)
- Continuum limits of discrete thin films with superlinear growth densities (2008) (35)
- From discrete systems to continuous variational problems: an introduction (2006) (35)
- The interaction between bulk energy and surface energy in multiple integrals (1994) (33)
- NON-LOCAL VARIATIONAL LIMITS OF DISCRETE SYSTEMS (2000) (32)
- Approximation by Γ‐convergence of a curvature‐depending functional in visual reconstruction (2006) (31)
- A variational approach to double porosity problems (2004) (31)
- Homogenization by blow-up (2008) (31)
- HOMOGENIZATION OF PERIODIC NONLINEAR MEDIA WITH STIFF AND SOFT INCLUSIONS (1995) (30)
- Riemannian approximation of Finsler metrics (2002) (29)
- Bounds on the effective behaviour of a square conducting lattice (2004) (28)
- The Passage from Discrete to Continuous Variational Problems: a Nonlinear Homogenization Process (2004) (27)
- Density of polyhedral partitions (2017) (26)
- Motion and Pinning of Discrete Interfaces (2010) (26)
- Q-Tensor Continuum Energies as Limits of Head-to-Tail Symmetric Spin Systems (2013) (24)
- INTERFACIAL ENERGIES ON PENROSE LATTICES (2011) (23)
- A relaxation approach to hencky’s plasticity (1997) (23)
- A note on equi-integrability in dimension reduction problems (2007) (22)
- Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: A one-dimensional prototypical case (2016) (22)
- Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy (2009) (20)
- Free-discontinuity problems generated by singular perturbation (1998) (20)
- Discrete-to-Continuum Variational Methods for Lattice Systems (2014) (19)
- Multi-Scale Free-Discontinuity Problems with Soft Inclusions (2013) (19)
- Homogenization of Discrete High-Contrast Energies (2015) (18)
- Almost periodic methods in the theory of homogenization (1992) (18)
- A Quantitative Description of Mesh Dependence for the Discretization of Singularly Perturbed Nonconvex Problems (2012) (18)
- Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (2016) (18)
- Remarks on the homogenization of connected media (1994) (17)
- Homogenization of Penrose tilings (2009) (16)
- Topics on concentration phenomena and problems with multiple scales (2006) (16)
- Motion of discrete interfaces in periodic media (2014) (16)
- Loss of polyconvexity by Homogenization (1994) (15)
- On the non-local approximation of free-discontinuity problems (1998) (15)
- A derivation formula for convex integral functionals defined on . (1995) (15)
- Variational approximation of anisotropic functionals on partitions (2005) (15)
- Minimizing movements along a sequence of functionals and curves of maximal slope (2016) (14)
- Overall Properties of a Discrete Membrane with Randomly Distributed Defects (2008) (14)
- Interfacial energies on quasicrystals (2012) (14)
- The passage from nonconvex discrete systems to variational problems in Sobolev spaces: the one-dimensional case (2002) (14)
- Functionals Defined on Piecewise Rigid Functions: Integral Representation and Γ -Convergence (2019) (14)
- An Example of Non-Existence of Plane-Like Minimizers for an Almost-Periodic Ising System (2014) (13)
- Homogenization of non-uniformly bounded periodic diffusion energies in dimension two (2009) (13)
- Curvature theory of boundary phases: the two-dimensional case (2002) (13)
- A SINGULAR PERTURBATION APPROACH TO VARIATIONAL PROBLEMS IN FRACTURE MECHANICS (1993) (13)
- Motion of Discrete Interfaces Through Mushy Layers (2015) (13)
- Thin films with many small cracks (2002) (13)
- Variational problems with percolation: dilute spin systems at zero temperature (2011) (12)
- Relaxation of elastic energies with free discontinuities and constraint on the strain (2002) (12)
- Homogenization of periodic multi-dimensional structures (1999) (11)
- Quantitative analysis of finite-difference approximations of free-discontinuity problems (2018) (11)
- Special functions with bounded variation and with weakly differentiable traces on the jump set (1998) (11)
- Separation of Scales and Almost-Periodic Effects in the Asymptotic Behaviour of Perforated Periodic Media (2001) (11)
- Discrete-to-Continuum Limits of Multibody Systems with Bulk and Surface Long-Range Interactions (2019) (10)
- Design of lattice surface energies (2018) (10)
- An Introduction to Homogenization and Gamma-convergence (2004) (9)
- Correctors for the homogenization of almost periodic monotone operators (1991) (9)
- A compactness result for a second-order variational discrete model (2012) (9)
- A Variational Theory of Convolution-Type Functionals (2020) (9)
- Limits of discrete systems without convexity hypotesis (1999) (9)
- Crystalline Motion of Interfaces Between Patterns (2016) (8)
- A derivation formula for integral functionals defined on BV( (1995) (8)
- An Integral-Representation Result for Continuum Limits of Discrete Energies with MultiBody Interactions (2017) (8)
- G - convergence for stable states and local minimizers (2011) (8)
- Relaxation of functionals with constraints on the divergence (1987) (7)
- Topological Singularities in Periodic Media: Ginzburg–Landau and Core-Radius Approaches (2020) (7)
- Homogenization of networks in domains with oscillating boundaries (2019) (7)
- A variational model in image processing with focal points (2008) (7)
- Lower semicontinuity conditions for functionals on jumps and creases (1995) (7)
- Homogenization of cohesive fracture in masonry structures (2019) (7)
- APPROXIMATION OF RELAXED DIRICHLET PROBLEMS (1994) (7)
- Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions (2017) (7)
- Homogenization of quadratic convolution energies in periodically perforated domains (2019) (7)
- Asymptotic analysis of microscopic impenetrability constraints for atomistic systems (2015) (7)
- Interactions between homogenization and phase-transition processes (2002) (6)
- Nucleation and backward motion of discrete interfaces (2013) (6)
- Minimizing movements for oscillating energies: the critical regime (2016) (6)
- Discrete approximation of functionals with jumps and creases (2000) (6)
- Interfacial Energies of Systems of Chiral Molecules (2015) (6)
- Non convex homogenization problems for singular structures (2008) (6)
- Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane (2020) (6)
- Variational Problems with Percolation: Dilute Spin Systems at Zero Temperature (2012) (5)
- A homogenization result for interacting elastic and brittle media (2018) (5)
- Homogenization of Non-Linear Variational Problems with Thin Low-Conducting Layers (2007) (5)
- Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems (2017) (5)
- Optimal design of mixtures of ferromagnetic interactions (2016) (5)
- Multiscale Analysis by Γ-Convergence of a One-Dimensional Nonlocal Functional Related to a Shell-Membrane Transition (2006) (5)
- Variational evolution of one-dimensional Lennard-Jones systems (2014) (5)
- A characterization of variational convergence for segmentation problems (1995) (4)
- G-convergence of nonconvex functionals defined on measures (1998) (4)
- From discrete to continuous variational problems : an introduction (2001) (4)
- Γ-limit of the cut functional on dense graph sequences (2018) (4)
- Homogenization of random convolution energies in heterogeneous and perforated domains (2019) (4)
- Homogenization of random convolution energies (2021) (4)
- Crystalline evolutions with rapidly oscillating forcing terms (2017) (4)
- Erratum to “Asymptotic analysis of periodically-perforated nonlinear media” [J. Math. Pures Appl. 81 (2002) 439–451] (2005) (4)
- Approximation of free-discontinuity problems by elliptic functionals via Gamma-convergence (1998) (4)
- Discrete double-porosity models for spin systems (2016) (3)
- Models of defects in atomistic systems (2011) (3)
- Free discontinuity problems and their non-local approximation (2000) (3)
- Local Minimization as a Selection Criterion (2014) (3)
- Quasi-static damage evolution and homogenization: A case study of non-commutability (2016) (2)
- L^infinity energies on discontinuous functions (2005) (2)
- Compactness by Coarse-Graining in Long-Range Lattice Systems (2019) (2)
- Asymptotic analysis of a ferromagnetic Ising system with “diffuse” interfacial energy (2018) (2)
- Asymptotic behavior of the Dirichlet energy on Poisson point clouds (2022) (2)
- Homogenization of metrics in oscillating manifolds (2015) (2)
- Perturbed minimizing movements of families of functionals (2019) (2)
- An extension theorem from connected sets and homogenization of non-local functionals (2020) (2)
- Convergence of Local Minimizers (2014) (2)
- FREE-DISCONTINUITY PROBLEMS (2002) (2)
- Perimeter on fractal sets (1991) (2)
- Approximation of non-convex functionals in GBV (1998) (2)
- Fractal relaxed Dirichlet problems (1993) (2)
- Exact Bounds on the Effective Behavior of a Conducting Discrete Polycrystal (2008) (2)
- Asymptotic behaviour of the capacity in two-dimensional heterogeneous media (2022) (1)
- Compactness for a class of integral functionals with interacting local and non-local terms (2022) (1)
- EVOLUTION OF DAMAGE IN COMPOSITES: THE ONE-DIMENSIONAL CASE (2014) (1)
- Discrete double-porosity models (2014) (1)
- Asymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regime (2017) (1)
- Geometric Flows on Planar Lattices (2021) (1)
- Asymptotic analysis of periodically-perforated nonlinear media at and close to the critical exponent (2008) (1)
- Nucleation and Growth of Lattice Crystals (2020) (1)
- Continuity of some non-local functionals with respect to a convergence of the underlying measures (2022) (1)
- A general approach to approximation (1988) (1)
- Static, Quasistatic and Dynamic Analysis for Scaled Perona-Malik Functionals (2016) (1)
- Discrete-to-Continuum Limits of Planar Lattice Energies (2021) (1)
- Rigidity Effects for Antiferromagnetic Thin Films: A Prototypical Example (2018) (0)
- Asymptotic analysis of atomistic systems with long-range interactions (2014) (0)
- 2 Statement and proof of the homogenization result (2009) (0)
- Parameterized Motion Driven by Global Minimization (2014) (0)
- Minimizing Movements Along a Sequence of Functionals (2014) (0)
- Homogenization of Lattice Systems (2005) (0)
- Special issue on variational models for discrete systems editorial (2023) (0)
- Approximation of non � convex functionals in GBV Roberto Alicandro (2003) (0)
- DIRICHLET PROBLEMS IN PERFORATED DOMAINS (2002) (0)
- Homogenization of discrete thin structures (2021) (0)
- Geometric Minimizing Movements (2014) (0)
- A. Braides - Geometric measure theory issues from discrete energies (2015) (0)
- Asymptotic analysis of a ferromagnetic Ising system with “diffuse” interfacial energy (2017) (0)
- Examples of approximation (1988) (0)
- *AN INTRODUCTION TO THE LOCALIZATION METHOD OF Γ-CONVERGENCE (2002) (0)
- Variational Problems with Percolation: Dilute Spin Systems at Zero Temperature (2012) (0)
- FROM DISCRETE SYSTEMS TO INTEGRAL FUNCTIONALS (2002) (0)
- Perspectives: Evolutions with Microstructure (2021) (0)
- ON EQUI-INTEGRABILITY IN DIMENSION REDUCTION PROBLEMS (2005) (0)
- Design of lattice surface energies (2018) (0)
- The Lavrentiev Phenomenon for Free Discontinuity Problems (1995) (0)
- Relaxation and Γ-convergence of quadratic forms inBV(I; ℝn) (1982) (0)
- Another Brick in the Wall (2006) (0)
- Analytical and computational study of curvature depending functionals in image segmentation (2008) (0)
- A note on the homogenization of incommensurate thin films (2022) (0)
- SOME COMMENTS ON VECTORIAL PROBLEMS (2002) (0)
- Γ-CONVERGENCE BY NUMBERS (2002) (0)
- Small-Scale Stability (2014) (0)
- *THE ‘SLICING’ METHOD (2002) (0)
- Variational Evolution (2021) (0)
- Evolution of Planar Lattices (2021) (0)
- An Example of Non-Existence of Plane-Like Minimizers for an Almost-Periodic Ising System (2014) (0)
- Discrete approximation of nonlocal-gradient energies (2023) (0)
- On Γ -Convergence of a Variational Model for Lithium-Ion Batteries (2021) (0)
- Functions of bounded variation (1988) (0)
- Emergence of Structures in Particle Systems: Mechanics, Analysis and Computation (2019) (0)
- Asymptotic analysis of a ferromagnetic lattice spin system with diffuse interfacial energy (2016) (0)
- Homogenization of almost periodic operators (1992) (0)
- DISCRETE SYSTEMS AND FREE-DISCONTINUITY PROBLEMS (2002) (0)
- Beyond the classical Cauchy-Born rule (2022) (0)
- Motion of Discrete Interfaces Through Mushy Layers (2016) (0)
- Crystalline Motion of Interfaces Between Patterns (2016) (0)
- Asymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regime (2018) (0)
- A simplified counterexample to the integral representation of the relaxation of double integrals (2022) (0)
- *DIMENSION-REDUCTION PROBLEMS (2002) (0)
- Homogenization of Penrose tilings: calculus of variations (2009) (0)
- MORE HOMOGENIZATION PROBLEMS (2002) (0)
- Non-local approximation (1988) (0)
- Introduction: Motion on Lattices (2021) (0)
- Gradient Random Fields – Banff workshop 2011 (2012) (0)
- PHASE-TRANSITION PROBLEMS (2002) (0)
- Special functions of bounded variation (1988) (0)
- Optimal bounds for periodic mixtures of ferromagnetic interactions (2014) (0)
- Interfaces, Modulated Phases and Textures in Lattice Systems (2016) (0)
- INTERACTION BETWEEN ELLIPTIC PROBLEMS AND PARTITION PROBLEMS (2002) (0)
- Two geometric lemmas for 𝒮N−1-valued maps and an application to the homogenization of spin systems (2020) (0)
- Density of polyhedral partitions (2017) (0)
- Different Time Scales (2014) (0)
- Static, Quasistatic and Dynamic Analysis for Scaled Perona-Malik Functionals (2018) (0)
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