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1

An elementary proof of the Gregory-Mengoli-Mercator formula

Gero Friesecke, Jan Christoph Wehrstedt

Journal:

The Mathematical Intelligencer

Year:

2006

Language:

english

File:

PDF, 168 KB

english, 2006

2

Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape

Yuen Au Yeung, Gero Friesecke, Bernd Schmidt

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 444 KB

english, 2012

3

Density Functional Theory and Optimal Transportation with Coulomb Cost

Cotar, Codina, Friesecke, Gero, Klüppelberg, Claudia

Journal:

Communications on Pure and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 638 KB

english, 2013

4

Existence theorem for solitary waves on lattices

Gero Friesecke, Jonathan A. D. Wattis

Journal:

Communications in Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 1.45 MB

english, 1994

5

Infinite-body optimal transport with Coulomb cost

Cotar, Codina, Friesecke, Gero, Pass, Brendan

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 383 KB

english, 2015

6

A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems

Friesecke, Gero

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1994

Language:

english

File:

PDF, 1.64 MB

english, 1994

7

On the Ehrenfest theorem of quantum mechanics

Friesecke, Gero, Koppen, Mario

Journal:

Journal of Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 426 KB

english, 2009

8

Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data

Luigi Ambrosio, Alessio Figalli, Gero Friesecke, Johannes Giannoulis, Thierry Paul

Journal:

Communications on Pure and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 374 KB

english, 2011

9

A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

Gero Friesecke, Richard D. James, Stefan Müller

Journal:

Communications on Pure and Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 364 KB

english, 2002

10

Die Schönheit der molekularen Architektur von Viren und ihre Entschlüsselung durch Beugungsmuster

Friesecke, Gero

Journal:

Mitteilungen der Deutschen Mathematiker-Vereinigung

Year:

2016

Language:

german

File:

PDF, 234 KB

german, 2016

11

A Hierarchy of Plate Models Derived from Nonlinear Elasticity by Gamma-Convergence

Gero Friesecke, Richard D. James, Stefan Müller

Journal:

Archive for Rational Mechanics and Analysis

Year:

2006

Language:

english

File:

PDF, 421 KB

english, 2006

12

Corrigendum: Semiclassical Limit of Quantum Dynamics with Rough Potentials and Well-Posedness of Transport Equations with Measure Initial Data

Ambrosio, Luigi, Figalli, Alessio, Friesecke, Gero, Giannoulis, Johannes, Paul, Thierry

Journal:

Communications on Pure and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 136 KB

english, 2013

13

Rigorous derivation of nonlinear plate theory and geometric rigidity

Gero Friesecke, Stefan Müller, Richard D James

Journal:

Comptes Rendus Mathematique

Year:

2002

Language:

french

File:

PDF, 79 KB

french, 2002

14

Twisted X-Rays: Incoming Waveforms Yielding Discrete Diffraction Patterns for Helical Structures

Friesecke, Gero, James, Richard D., Jüstel, Dominik

Journal:

SIAM Journal on Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 1.20 MB

english, 2016

15

Calculus of Variations

Dal Maso, Gianni, Friesecke, Gero, RiviÃ¨re, Tristan

Journal:

Oberwolfach Reports

Year:

2004

Language:

english

File:

PDF, 428 KB

english, 2004

16

Mathematical Methods in Quantum Chemistry

Friesecke, Gero, Gill, Peter

Journal:

Oberwolfach Reports

Year:

2011

Language:

english

File:

PDF, 740 KB

english, 2011

17

N-density representability and the optimal transport limit of the Hohenberg-Kohn functional

Friesecke, Gero, Mendl, Christian B., Pass, Brendan, Cotar, Codina, Klüppelberg, Claudia

Journal:

The Journal of Chemical Physics

Year:

2013

Language:

english

File:

PDF, 687 KB

english, 2013

18

Breaking the Curse of Dimension in Multi-Marginal Kantorovich Optimal Transport on Finite State Spaces

Friesecke, Gero, Vögler, Daniela

Journal:

SIAM Journal on Mathematical Analysis

Year:

2018

Language:

english

File:

PDF, 994 KB

english, 2018

19

Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

Gero Friesecke, Richard D James, Maria Giovanna Mora, Stefan Müller

Journal:

Comptes Rendus Mathematique

Year:

2003

File:

PDF, 108 KB

2003

20

New Optimal Control Problems in Density Functional Theory Motivated by Photovoltaics

Friesecke, Gero, Kniely, Michael

Journal:

Multiscale Modeling and Simulation

Year:

2019

File:

PDF, 2.07 MB

2019

21

Mean Field Approximation in Conformation Dynamics

Friesecke, Gero, Junge, Oliver, Koltai, Péter

Journal:

Multiscale Modeling and Simulation

Year:

2009

Language:

english

File:

PDF, 925 KB

english, 2009

22

Asymptotics-Based CI Models for Atoms: Properties, Exact Solution of a Minimal Model for Li to Ne, and Application to Atomic Spectra

Friesecke, Gero, Goddard, Benjamin D.

Journal:

Multiscale Modeling and Simulation

Year:

2009

Language:

english

File:

PDF, 344 KB

english, 2009

23

A sharp version of Ehrenfest's theorem for general self-adjoint operators

Gero Friesecke and Bernd Schmidt

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2010

Language:

english

File:

PDF, 639 KB

english, 2010

24

Smoothing of Transport Plans with Fixed Marginals and Rigorous Semiclassical Limit of the Hohenberg–Kohn Functional

Cotar, Codina, Friesecke, Gero, Klüppelberg, Claudia

Journal:

Archive for Rational Mechanics and Analysis

Year:

2018

Language:

english

File:

PDF, 658 KB

english, 2018

25

Mathematical Methods in Quantum Chemistry

Friesecke, Gero, Gill, Peter

Journal:

Oberwolfach Reports

Year:

2011

File:

PDF, 740 KB

2011

26

A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods

Gero Friesecke, Richard D. James

Journal:

Journal of the Mechanics and Physics of Solids

Year:

2000

Language:

english

File:

PDF, 601 KB

english, 2000

27

Existence and nonexistence of HOMOâLUMO excitations in KohnâSham density functional theory

Friesecke, Gero, Graswald, Benedikt

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2020

File:

PDF, 1.08 MB

2020

28

Convergence to equilibrium for delay-diffusion equations with small delay

Journal:

Journal of Dynamics and Differential Equations

Year:

1993

Language:

english

File:

PDF, 636 KB

english, 1993

29

Bragg–von Laue diffraction generalized to twisted X-rays

Jüstel, Dominik, Friesecke, Gero, James, Richard D.

Journal:

Acta Crystallographica Section A Foundations and Advances

Year:

2016

Language:

english

File:

PDF, 1010 KB

english, 2016

30

Exponentially growing solutions for a delay-diffusion equation with negative feedback

Journal:

Journal of Differential Equations

Year:

1992

Language:

english

File:

PDF, 822 KB

english, 1992

31

Atomic-scale localization of high-energy solitary waves on lattices

Gero Friesecke, Karsten Matthies

Journal:

Physica D: Nonlinear Phenomena

Year:

2002

Language:

english

File:

PDF, 139 KB

english, 2002

32

Explicit Large Nuclear Charge Limit of Electronic Ground States for Li, Be, B, C, N, O, F, Ne and Basic Aspects of the Periodic Table

Friesecke, Gero, Goddard, Benjamin D.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2009

Language:

english

File:

PDF, 449 KB

english, 2009

33

Passage from Quantum to Classical Molecular Dynamics in the Presence of Coulomb Interactions

Ambrosio, Luigi, Friesecke, Gero, Giannoulis, Johannes

Journal:

Communications in Partial Differential Equations

Year:

2010

Language:

english

File:

PDF, 229 KB

english, 2010

34

Pair Densities in Density Functional Theory

Chen, Huajie, Friesecke, Gero

Journal:

Multiscale Modeling and Simulation

Year:

2015

Language:

english

File:

PDF, 5.85 MB

english, 2015

35

A Simple Counterexample to the Monge Ansatz in Multimarginal Optimal Transport, Convex Geometry of the Set of Kantorovich Plans, and the Frenkel--Kontorova Model

Friesecke, Gero

Journal:

SIAM Journal on Mathematical Analysis

Year:

2019

Language:

english

File:

PDF, 1.48 MB

english, 2019

36

Fast, large-amplitude solitary waves in the 2D Euler equations for stratified fluids

Katharina Lankers, Gero Friesecke

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 901 KB

english, 1997

37

Classification of Particle Numbers with Unique Heitmann–Radin Minimizer

Lucia De Luca,Gero Friesecke

Journal:

Journal of Statistical Physics

Year:

2017

Language:

english

File:

PDF, 567 KB

english, 2017

38

The Föppl–von Kármán plate theory as a low energy Γ-limit of nonlinear elasticity

Gero Friesecke, Richard D James, Stefan Müller

Journal:

Comptes Rendus Mathematique

Year:

2002

Language:

french

File:

PDF, 83 KB

french, 2002

39

Numerical Methods for a Kohn–Sham Density Functional Model Based on Optimal Transport

Chen, Huajie, Friesecke, Gero, Mendl, Christian B.

Journal:

Journal of Chemical Theory and Computation

Year:

2014

Language:

english

File:

PDF, 420 KB

english, 2014

40

Efficient algorithm for asymptotics-based configuration-interaction methods and electronic structure of transition metal atoms

Mendl, Christian B., Friesecke, Gero

Journal:

The Journal of Chemical Physics

Year:

2010

Language:

english

File:

PDF, 511 KB

english, 2010

41

New Optimal Control Problems in Density Functional Theory Motivated by Photovoltaics

Friesecke, Gero, Kniely, Michael

Journal:

Multiscale Modeling and Simulation

Year:

2019

Language:

english

File:

PDF, 2.07 MB

english, 2019

42

SPIE Proceedings [SPIE 1994 North American Conference on Smart Structures and Materials - Orlando, FL (Sunday 13 February 1994)] Smart Structures and Materials 1994: Mathematics and Control in Smart Structures - Dynamical approach to hysteresis in a bar undergoing a martensitic transformation

Friesecke, Gero H., Banks, H. Thomas

Year:

1994

Language:

english

File:

PDF, 219 KB

english, 1994

43

A Simple Counterexample to the Monge Ansatz in Multimarginal Optimal Transport, Convex Geometry of the Set of Kantorovich Plans, and the Frenkel--Kontorova Model

Friesecke, Gero

Journal:

SIAM Journal on Mathematical Analysis

Year:

2019

File:

PDF, 1.48 MB

2019

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