A short CV
Born in Udine on April
12,
1961
Research areas: Calculus of Variations,
Gamma-convergence, Homogenization, Discrete
Variational Problems, Fracture Mechanics, Image
Processing, Geometric Measure Theory
Previous
positions:
Associate
Professor at SISSA,
Trieste 1995-2000
Associate
Professor at the University of Brescia,
1992-1995
`Ricercatore'
at the University of Brescia, 1988-1992
(`Servizio
civile', 1986-1988)
Contract
Professor at the University of Udine, 1985-1986
`Perfezionando'(Ph
D,
adviser E.
De Giorgi) at Scuola Normale
Superiore, Pisa, 1983-1985
`Laurea' in
Mathematics at the University of Pisa, 1983
Distinguished
visiting positions, invited lectures,
honours
1998,
Jan-May. Marie-Curie Scholarship at the
Max-Planck Institu ̈t, Leipzig 2002.
Invited Distinguished Professorship,
Paris XIII
2004. Timoshenko Fellowship, Stanford
2013. Plenary Speaker at GAMM
Conference, Novi Sad
2013-14. One-year Visiting Professorship
at the Mathematical Institute and
Fellowship at Mansfield College, Oxford,
UK
2014. Invited Sectional Speaker at the
International Congress of Mathematicians
ICM 2014, Seoul
2015 (Jan-Mar) John Von Neumann Visiting
Professorship at Technische Universität
München
2015 Tullio Levi Civita Prize
Ph.D. Theses
(Adviser)
R.
Alicandro. Approximation of
Free-Discontinuity Problems (SISSA, 1999)
M.S.
Gelli. Variational Limits of Discrete
Systems (SISSA, 1999)
N.
Ansini. Homogenization Problems for
Multi-dimensional and Multi-scale Structures
(SISSA, 2000)
M.Cicalese.
Multi-scale analysis for variational problems
arising from discrete systems (University of
Naples `Federico II', 2003)
C.I
Zeppieri Multi-scale analysis via
Gamma-convergence (Universita' di Roma La Sapienza,
2006)
L.
Sigalotti. Asymptotic analysis of
discrete systems with complex interfacial
interactions (Sapienza Universita' di Roma, 2010)
G. Scilla
Variational motion of discrete interfaces
(Sapienza Universita' di Roma 2014)
A. Cancedda (co-supervised with V.Chiadō Piat).
Spectral analysis and problems with oscillating
constraints in the theory of Homogenization
(Politecnico di Torino, 2015)
V. Vallocchia. Some asymptotic problems for
non-convex discrete systems(Universitā di Roma Tor
Vergata 2018)
L. Kreutz.
Some results on ferromagnetic spin systems and
related issues (GSSI, L'Aquila, 2018)
A. Tribuzio (Universitā di Roma "Tor Vergata'',
ongoing)
I also had the pleasure of collaborating to the
following thesis:
M.
Solci A Variational Model for Phase
Separation (Pavia 2003, adviser E.Vitali).
Editorial Board:
Networks and Heterogeneous Media
Archive for Rational Mechanics and Analysis
Mathematics and Mechanics of Complex Systems
Journal de l'Ecole Polytechnique
Encyclopedia of Mathematical
Physics
Some Lecture Notes
Course
`Local minimization, Variational Evolution
and Gamma-convergence'
A
handbook of Gamma-convergence
Course `From Discrete Systems to
Continuum Problems' (Würzburg 2012) - LECTURE
NOTES
Mini-course
`Homogenization of Lattice systems' (INdAM,
Rome 2005) - LECTURE NOTES
Course
`From Discrete Systems to Continuous
Variational Problems' (Utah 2005) - LECTURE
NOTES
Books
A. Braides.
An Introduction to
Homogenization and Gamma-convergence.
In: G. Allaire, A. Braides, G.
Buttazzo, A. Defranceschi, L.V. Gibiansky.
School on
Homogenization. Lecture Notes of the Courses
held at ICTP,
Trieste, 4--17
September 1993
A. Braides and A.
Defranceschi.
Homogenization
of
Multiple Integrals
Oxford
University Press, Oxford, 1998.
A. Braides.
Approximation
of
Free-Discontinuity Problems
Lecture Notes
in Mathematics No. 1694, Springer Verlag,
Berlin, 1998.
 
A. Braides and M.S. Gelli.
From
Discrete
to
Continuum: a Variational Approach.
Lecture Notes. SISSA, Trieste, 2000.(file
pdf)
A. Braides
Gamma-convergence
for
Beginners.
Oxford
University
Press,
2002
A. Braides
From
discrete
to
continuous variational problems: an introduction .
Lecture Notes. School on Homogenization Techniques
and Asymptotic Methods for Problems with Multiple
Scales.
Torino, September 2001
appeared as part of
A. Braides and M.S.
Gelli.
From discrete systems to continuous variational
problems: an introduction.
Topics on concentration phenomena and problems
with multiple scales, 3--77, Lect. Notes Unione
Mat. Ital., 2, Springer, Berlin, 2006.
A. Braides
A handbook of
Gamma-convergence
in Handbook of
Differential Equations. Stationary Partial
Differential Equations, Volume 3 (M. Chipot and
P. Quittner, eds.) Elsevier 2006.
A. Braides
Local
minimization, Variational Evolution
and Gamma-convergence
Lecture
Notes in Mathematics No. 2094, Springer
Verlag, Berlin, 2013
Editorial Activity
Topics
on
concentration phenomena and problems with
multiple scales.
Edited by Andrea Braides and Valeria Chiadō
Piat.
Lecture Notes of the Unione Matematica Italiana,
2.
Springer-Verlag, Berlin, 2006. xii+316
Recent Papers (see also my web
page at CVGMT)
- A. Braides - M. Cicalese - M. Ruf (Analysis
& PDE)Continuum limit and stochastic
homogenization of discrete ferromagnetic
thin films (2018)
- A. Braides - V. Chiadō Piat (Applicable
Analysis) Homogenization of networks in
domains with oscillating boundaries (2018)
- 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 - A. Malusa - M. Novaga (Accepted
Paper: Ann. Scuola
Normale Sup.Pisa) Crystalline evolutions with
rapidly oscillating forcing terms (2018)
- A. Braides -
P. Cermelli - S. Dovetta (Preprint) Γ-limit
of the cut functional on dense graph
sequences (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. Bach - A. Braides - C. I. Zeppieri (Submitted
Paper) Quantitative analysis of
finite-difference approximations of
free-discontinuity problems (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 -
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 - S.
Conti - A.
Garroni (Calc. Var. Partial Diff.
Equations)
Density of polyhedral partitions (2017)
- N.
Ansini - A.
Braides - J.
Zimmer (Proc. Roy. Soc. Edinburgh A)
Minimising movements for oscillating
energies: the critical regime (2017)
- A.
Braides - A. Cancedda - V.
Chiadō Piat (ESAIM: Control Optim.
Calc. Var.)
Homogenization of metrics in oscillating
manifolds (2017)
- A.
Braides - M. S.
Gelli (ESAIM: M2AN)
Analytical treatment for the asymptotic
analysis of microscopic impenetrability
constraints for atomistic systems (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.
Chiadō 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. Solci (Math. Mech.
Solids)
Asymptotic analysis of Lennard-Jones systems
beyond the nearest-neighbour setting: a
one-dimensional prototypical case (2016)
- A.
Braides - A.
Garroni - M. Palombaro (Multiscale
Model. Simul.)
Interfacial energies of systems of chiral
molecules (2016)
- A.
Braides - L.
Kreutz (Atti Accad. Naz. Lincei Rend.
Lincei Mat. Appl.)
Optimal bounds for periodic mixtures of
nearest-neighbour ferromagnetic interactions
(2016)
- A.
Braides - M.
Cicalese - N. K. Yip (J. Stat. Phys.)
Crystalline Motion of Interfaces Between
Patterns (2016)
- A.
Braides - L.
Kreutz (Preprint)
Optimal design of mixtures of ferromagnetic
interactions (2016)
- A.
Braides - V.
Vallocchia (Submitted Paper)
Static, Quasi-static and Dynamic Analysis
for Scaled Perona-Malik Functionals
(2016)
- A.
Braides - M.
Cicalese - M.
Ruf (Preprint)
Continuum limit and stochastic
homogenization of discrete ferromagnetic
thin films (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.
Chiadō 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 - A. Piatnitski (J. Funct.
Anal.)
Homogenization of surface and length
energies for spin systems (2013)
- A.
Braides - M. Solci (Boll. Unione Mat.
Ital.)
Multi-scale free-discontinuity problems with
soft inclusions (2013)
- A.
Braides (Book: Lecture Notes in
Mathematics, Springer)Local
minimization, variational evolution and Γ-convergence
(2013)
- A.
Braides - G.
Scilla (C. R. Acad. Sci. Paris)
Nucleation and backward motion of discrete
interfaces (2013)
- A.
Braides - G.
Scilla (Interfaces Free Bound.)Motion
of discrete interfaces in periodic media
(2013)
- A. Braides - G. Scilla Nucleation
and backward motion of discrete interfaces C.
R. Acad. Sci. Paris, 351
(2013), 803--806
- A. Braides, A.
Defranceschi and E. Vitali
Variational evolution of one-dimensional
Lennard-Jones systems Networks Heterog. Media
- A. Braides and
M. Solci,
Multi-scale free-discontinuity problems
with soft inclusions. Boll. Unione
Mat. Ital. (IX), 6 (2013), 29-51
- A. Braides and
A. Piatnitski.
Variational problems with percolation:
dilute spin systems at zero temperature
J. Stat. Phys. 149 (2012), 846-864
- A. Braides, A.
Causin and M. Solci.Interfacial
energies on quasicrystals IMA J Appl
Math 77 (2012), 816-836.
- A. Braides and
N.K. Yip.A
quantitative description of mesh
dependence for the discretization of
singularly perturbed non-convex problems.
SIAM J. Numer. Anal. 50 (2012), 1883--1898
- A. Braides, A.
Defranceschi and E. Vitali. A
compactness result for a second-order
variational discrete model M2AN 46
(2011), 389-410
- A. Braides and A.
Piatnitski
Homogenization of surface and length
energies for spin systems. J. Funct.
Anal. 264 (2013), 1296--1328
- A. Braides and
M. Solci.
Interfacial energies on Penrose lattices. M3AS, 21 (2011),
1193-1210
- A. Braides and
C. Larsen.$\Gamma$-convergence
for
stable states and local minimizers. Ann.
SNS Pisa {\bf 10} (2011), 193-206
- A. Braides and L.Sigalotti. Models
of defects in atomistic systems. Calc. Var. Partial
Diff. Eq., 41 (2011), 71-109
- A. Braides, M.S. Gelli, and M. Novaga. Motion
and
pinning
of discrete interfaces. Arch. Ration.
Mech. Anal., 95 (2010), 469-498.
- A. Braides, M.
Briane, and J. Casado Diaz.
Homogenization of non-uniformly bounded
periodic diffusion energies in dimension
two. Nonlinearity 22 (2009), 1459-1484
- A. Braides, G. Riey, and M.
Solci.
Homogenization of Penrose tilings.
C.R. Acad. Sci., Ser. I 347 (2009),
697-700
- A. Braides -
C.I. Zeppieri
Multiscale analysis of a prototypical
model for the interaction between
microstructure and surface energy
Interfaces Free Bound. 11 (2009), 61--118
- A. Braides, M.
Maslennikov, and L. Sigalotti.Homogenization
by
blow-up. Applicable Anal. 87 (2008),
1341--1356.
- R. Alicandro - A. Braides - M. Cicalese Continuum
limits of discrete thin films with
superlinear growth densities Calc. Var.
Partial Diff. Eq. 33 (2008), 267--297
- A. Braides and
L. Sigalotti.
Asymptotic analysis of
periodically-perforated nonlinear media at
and close to the critical exponent. C.R.
Acad. Sci. Paris 346 (2008), 363--367.
- A. Braides - L. Truskinovsky Asymptotic expansions by
Gamma-convergence Cont. Mech. Therm.
20 (2008), 21--62
- A.Braides
- G. Riey
A variational model in image processing
with focal points ESAIM: M2AN 42
(2008) 729--748
- A. Braides and V. Chiado' Piat Non convex homogenization
problems for singular structures Network and
Heterogenous Media 3 (2008), 489-508
- A.
Braides and A. Piatnitski. Overall
properties of a discrete membrane with
randomly distributed defects Arch.
Ration. Mech. Anal. 189 (2008), 301--323
- A. Braides - A. Gloria
Exact bounds on the effective behaviour
of a conducting `discrete' polycrystal
Multiscale Modeling and Simulation 6
(2007), 1198-1216
- A.
Braides - M. Solci - E. Vitali A
derivation of linear elastic energies
from pair-interaction atomistic systems
Network and Heterogenous Media 2 (2007),
551-567
- A. Braides - A. Chambolle -
M. Solci
A relaxation result for energies defined
on pairs set-function and applications
ESAIM:COCV 13 (2007), 717-734
- A. Braides - C. I. Zeppieri A note on
equi-integrability in dimension
reduction problems Calc.
Var. Partial Differential Equations 29
(2007), 231-238
- A. Braides - M. Briane
Homogenization
of
non-linear variational problems with
thin low-conducting layers. Appl.
Math. Optim. 55 (2007), no. 1, 1--29
- A. Braides and M. Cicalese. Surface
energies in nonconvex discrete systems.
M3AS 17 (2007) 985-1037
- R. Alicandro, A. Braides and
M. Cicalese Phase
and anti-phase boundaries in binary
discrete systems: a variational
viewpoint. Netw. Heterog.
Media 1 (2006), no. 1, 85--107
- N. Ansini - A. Braides - V.
Valente
Multi-Scale Analysis by G-convergence of
a Shell-Membrane Transition. SIAM J.
Math. Anal. 38 (2006), no. 3, 944--976
- A. Braides and V. Chiado' Piat Another
brick
in the wall. Variational problems in
materials science, 13--24, Progr. Nonlinear
Differential Equations Appl., 68, Birkhäuser,
Basel, 2006
- A. Braides, A.J.
Lew and M. Ortiz. Effective
cohesive behavior of layers of interatomic
planes. Arch. Ration. Mech.
Anal. 180 (2006), no. 2, 151--182
- A. Braides and
R. March Approximation
by $\Gamma$-convergence of a
curvature-depending functional in Visual
Reconstruction. Comm. Pure Appl. Math.
59 (2006), no. 1, 71--121
Complete
List
of Publications (as of
January 2019)
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