Edit Profile (opens in new tab) Kreutz, Leonard C. Co-Author Distance Author ID: kreutz.leonard-c Published as: Kreutz, Leonard; Kreutz, Leonard C. Documents Indexed: 18 Publications since 2016, including 5 Additional arXiv Preprints Co-Authors: 10 Co-Authors with 17 Joint Publications 263 Co-Co-Authors all top 5 Co-Authors 1 single-authored 7 Friedrich, Manuel 4 Braides, Andrea 3 Cicalese, Marco 3 Zemas, Konstantinos 2 Bach, Annika 2 Orlando, Gianluca 2 Schmidt, Bernd 1 Chambolle, Antonin 1 Leonardi, Gian Paolo 1 Piovano, Paolo all top 5 Serials 2 Nonlinearity 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 Indiana University Mathematics Journal 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Multiscale Modeling & Simulation all top 5 Fields 12 Statistical mechanics, structure of matter (82-XX) 9 Mechanics of deformable solids (74-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Partial differential equations (35-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 11 Publications have been cited 71 times in 45 Documents Cited by ▼ Year ▼ Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Zbl 1434.82084 Friedrich, Manuel; Kreutz, Leonard 13 2020 Crystallization in the hexagonal lattice for ionic dimers. Zbl 1447.82032 Friedrich, Manuel; Kreutz, Leonard 12 2019 The antiferromagnetic \(XY\) model on the triangular lattice: chirality transitions at the surface scaling. Zbl 1479.82005 Bach, Annika; Cicalese, Marco; Kreutz, Leonard; Orlando, Gianluca 9 2021 Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035 Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd 8 2021 Design of lattice surface energies. Zbl 1397.35014 Braides, Andrea; Kreutz, Leonard 7 2018 Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Zbl 1373.35029 Braides, Andrea; Kreutz, Leonard 6 2017 Microscopic validation of a variational model of epitaxially strained crystalline films. Zbl 1456.74120 Kreutz, Leonard C.; Piovano, Paolo 6 2021 An integral-representation result for continuum limits of discrete energies with multibody interactions. Zbl 1386.49017 Braides, Andrea; Kreutz, Leonard 5 2018 The antiferromagnetic XY model on the triangular lattice: topological singularities. Zbl 1510.53062 Bach, Annika; Cicalese, Marco; Kreutz, Leonard; Orlando, Gianluca 3 2022 Crystallinity of the homogenized energy density of periodic lattice systems. Zbl 1518.35046 Chambolle, Antonin; Kreutz, Leonard 1 2023 From atomistic systems to linearized continuum models for elastic materials with voids. Zbl 1506.74017 Friedrich, Manuel; Kreutz, Leonard; Zemas, Konstantinos 1 2023 Crystallinity of the homogenized energy density of periodic lattice systems. Zbl 1518.35046 Chambolle, Antonin; Kreutz, Leonard 1 2023 From atomistic systems to linearized continuum models for elastic materials with voids. Zbl 1506.74017 Friedrich, Manuel; Kreutz, Leonard; Zemas, Konstantinos 1 2023 The antiferromagnetic XY model on the triangular lattice: topological singularities. Zbl 1510.53062 Bach, Annika; Cicalese, Marco; Kreutz, Leonard; Orlando, Gianluca 3 2022 The antiferromagnetic \(XY\) model on the triangular lattice: chirality transitions at the surface scaling. Zbl 1479.82005 Bach, Annika; Cicalese, Marco; Kreutz, Leonard; Orlando, Gianluca 9 2021 Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035 Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd 8 2021 Microscopic validation of a variational model of epitaxially strained crystalline films. Zbl 1456.74120 Kreutz, Leonard C.; Piovano, Paolo 6 2021 Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Zbl 1434.82084 Friedrich, Manuel; Kreutz, Leonard 13 2020 Crystallization in the hexagonal lattice for ionic dimers. Zbl 1447.82032 Friedrich, Manuel; Kreutz, Leonard 12 2019 Design of lattice surface energies. Zbl 1397.35014 Braides, Andrea; Kreutz, Leonard 7 2018 An integral-representation result for continuum limits of discrete energies with multibody interactions. Zbl 1386.49017 Braides, Andrea; Kreutz, Leonard 5 2018 Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Zbl 1373.35029 Braides, Andrea; Kreutz, Leonard 6 2017 all cited Publications top 5 cited Publications all top 5 Cited by 45 Authors 12 Cicalese, Marco 10 Kreutz, Leonard C. 8 Braides, Andrea 7 Friedrich, Manuel 7 Orlando, Gianluca 6 Bétermin, Laurent 6 De Luca, Lucia 4 Bach, Annika 3 Alicandro, Roberto 3 Piatnitski, Andrey L. 3 Piovano, Paolo 3 Ruf, Matthias 3 Schmidt, Bernd 2 Forster, Marwin 2 Knüpfer, Hans 2 Leonardi, Gian Paolo 2 Ponsiglione, Marcello 2 Solci, Margherita 2 Velčić, Igor 1 Caroccia, Marco 1 Causin, Andrea 1 Chambolle, Antonin 1 Crismale, Vito 1 Davoli, Elisa 1 Dolzmann, Georg 1 Faulhuber, Markus 1 Fonseca, Irene 1 Garroni, Adriana 1 Hackl, Klaus 1 König, Wolfgang Dieter 1 Lazzaroni, Giuliano 1 Leoni, Giovanni 1 Mainini, Edoardo 1 Mora, Maria Giovanna 1 Ninno, A. 1 Nolte, Florian 1 Ortiz, Michael 1 Palombaro, Mariapia 1 Petrache, Mircea 1 Riva, Filippo 1 Stefanelli, Ulisse 1 Theil, Florian 1 Zeman, Jiri 1 Zemas, Konstantinos 1 Zeppieri, Caterina Ida all top 5 Cited in 22 Serials 7 Archive for Rational Mechanics and Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Communications in Mathematical Physics 3 Journal of Statistical Physics 3 Calculus of Variations and Partial Differential Equations 3 Interfaces and Free Boundaries 2 Nonlinearity 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 Annales Henri Poincaré 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advanced Nonlinear Studies 1 Multiscale Modeling & Simulation 1 Oberwolfach Reports 1 Journal of Physics A: Mathematical and Theoretical 1 European Mathematical Society Magazine all top 5 Cited in 18 Fields 30 Statistical mechanics, structure of matter (82-XX) 22 Mechanics of deformable solids (74-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 10 Partial differential equations (35-XX) 4 Combinatorics (05-XX) 3 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year