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Leonard Kreutz
[kreutz]
Post Doc., Carnegie Mellon University
Email:
lkreutz
AT
andrew.cmu.edu
Available papers (15):
[plain text]
L. Kreutz
-
M. Friedrich
-
K. Zemas
(Accepted Paper:
Nonlinearity
)
From atomistic systems to linearized continuum models for elastic materials with voids
(2022)
M. Cicalese
-
L. Kreutz
-
G. P. Leonardi
(Preprint)
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices
(2022)
M. Friedrich
-
L. Kreutz
(Preprint)
A proof of finite crystallization via stratification
(2022)
A. Bach
-
M. Cicalese
-
L. Kreutz
-
G. Orlando
(
Calc. Var. Partial Diff. Equations
)
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling
(2021)
A. Chambolle -
L. Kreutz
(
Multiscale Modeling & Simulation
)
Crystallinity of the homogenized energy density of periodic lattice systems
(2021)
M. Friedrich
-
L. Kreutz
-
K. Zemas
(Submitted Paper)
Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces
(2021)
A. Bach
-
M. Cicalese
-
L. Kreutz
-
G. Orlando
(Accepted Paper:
Indiana Univ. Mat. J.
)
The antiferromagnetic XY model on the triangular lattice: topological singularities
(2020)
L. Kreutz
-
P. Piovano
(Accepted Paper:
SIAM J. Math. Anal.
)
Microscopic validation of a variational model of epitaxially strained crystalline films
(2020)
M. Friedrich
-
L. Kreutz
-
B. Schmidt
(Accepted Paper:
Archive for Rational Mechanics and Analysis
)
Emergence of rigid Polycrystals from atomistic Systems with Heitmann-Radin sticky disk energy
(2020)
L. Kreutz
-
M. Friedrich
(
Nonlinearity
)
Finite crystallization and wulff shape emergence for ionic compounds in the square lattice
(2019)
L. Kreutz
(Preprint)
A homogenization result for weak membrane energies
(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
-
L. Kreutz
(
Calc. Var. Partial Diff. Equations
)
Design of lattice surface energies
(2018)
L. Kreutz
-
M. Friedrich
(Accepted Paper:
Math. Mod. Meth. Appl. Sci. (M3AS)
)
Crystallization in the hexagonal lattice for ionic dimers
(2018)
A. Braides
-
L. Kreutz
(
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
)
Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions
(2017)
Seminars:
6 apr 2016:
Optimal bounds for mixtures of ferromagnetic interactions
Organizer:
12 sep 2022 - 16 sep 2022:
Summerschool on Analysis and Applied Mathematics
22 feb 2021 - 26 feb 2021:
(Virtual) Winterschool on Analysis and Applied Mathematics
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