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Institution
Rheinische Friedrich-Wilhelms-Universität Bonn
Institut für Angewandte Mathematik
Address
Endenicher Allee 60
53115 Bonn
Deutschland
GERiT
This institution in GERiT
53115 Bonn
Projects
Research Grants
Completed projects
Chaos: Stochastische und stabile Phänomene für Hamilton Systeme und deren Quantisierung
(Applicant
Albeverio, Sergio
)
CISM-Kurs "Liquid Films - Theory, Experiment and Industrial Applications"
(Applicant
Becker, Jürgen
)
Invariant measures for stochastic partial differential equations and asymptotics
(Applicant
Albeverio, Sergio
)
Konstruktion von Polymermassen durch Selbstdurchschneidungsfunktionale von Irrfahrten und Brownschen Pfaden, Dynamisierung von Polymermassen
(Applicant
Albeverio, Sergio
)
Martingaltheorie auf Vektorbündeln und die Geometrie bündelwertiger Diffusionen
(Applicant
Sturm, Karl-Theodor
)
Multiobjective topology optimization of anode structures for lithium-ion batteries
(Applicant
Weinberg, Kerstin
)
Multiscale version of the Logvinenko-Sereda Theorem
(Applicant
Veselic, Ivan
)
Probabilistische Verfahren zur Vorhersage raumzeitlicher Strukturen des Autobahnverkehrs
(Applicant
Albeverio, Sergio
)
Quantum Entanglement and Related Mathematics
(Applicant
Albeverio, Sergio
)
Random Schrödinger operators arising in the study of reinforced random processes
(Applicant
Disertori, Margherita
)
Stochastic Partial Differential Equations with non Gaussian White Noise and Corresponding Generators
(Applicant
Albeverio, Sergio
)
Stochastische Analysis und Systeme mit unendlich vielen Freiheitsgraden
(Applicant
Albeverio, Sergio
)
Subspace perturbation problems for linear operators
(Applicant
Albeverio, Sergio
)
Priority Programmes
Current projects
Emergence of macroscopic phenomena in the non-linear hyperbolic supersymmetric sigma model - second phase
(Applicants
Disertori, Margherita
;
Merkl, Franz
;
Rolles, Silke
)
Multiscale Modelling of Ultrasound Neuromodulation in the Human Brain – From Neuron to Brain
(Applicants
Keip, Marc-André
;
Ortiz, Ph.D., Michael
;
Sitti, Metin
)
Random Riemannian Geometry
(Applicants
Kopfer, Eva
;
Sturm, Karl-Theodor
)
Regularity and Scaling of Wild Microstructures in the Modelling of Shape-Memory Alloys
(Applicant
Rüland, Angkana
)
Completed projects
Analyse von Gibbsmaßen via partieller Integration und Quasi-Invarianz
(Applicant
Röckner, Michael
)
Analyse von Gibbsmaßen via partieller Integration und Quasi-Invarianz
(Applicant
Albeverio, Sergio
)
Domain structures and dynamics in Ferromagnetic shape memory materials: Theory and Experiment - Continuum models of magnetic shape memory materials: mathematics
(Applicants
Müller, Stefan
;
Otto, Felix
)
Fitness landscapes and adaptive dynamics
(Applicants
Bovier, Anton
;
Krug, Joachim
)
Homogenization of many particle systems
(Applicant
Niethammer, Barbara
)
Mathematical Modeling and Simulation of Microstructured Magnetic-Shape-Memory Devices
(Applicant
Conti, Sergio
)
Multiple scales in phase separating systems with elastic misfit
(Applicant
Niethammer, Barbara
)
Multiscale folding patterns in thin elastic sheets
(Applicant
Conti, Sergio
)
Multi-Scale Shape Optimization under Uncertainty
(Applicants
Conti, Sergio
;
Rumpf, Martin
;
Schultz, Rüdiger
)
Neue mathematische Methoden zur Verknüpfung und Vervollständigung von in Raum und Zeit unregelmäßig aufgenommenen Straßenverkehrsdaten
(Applicant
Albeverio, Sergio
)
Ricci flows for non-smooth spaces, monotonic quantities, and rigidity
(Applicants
Erbar, Matthias
;
Sturm, Karl-Theodor
)
Soft Ferromagnetic Films
(Applicant
Müller, Stefan
)
Stochastische Analysis und Riemannsche Geometrie
(Applicant
Sturm, Karl-Theodor
)
Untersuchung von Tieftemperaturphasen ungeordneter Modelle mit langreichweitiger Wechselwirkung
(Applicant
Bovier, Anton
)
Research Units
Completed projects
Analytical and numerical aspects of relaxation and regularization in models of crystal plasticity
(Applicants
Conti, Sergio
;
Dolzmann, Georg
)
Discrete and phase field models of dislocations and their macroscopic limits
(Applicant
Dondl, Patrick
)
Effective interface models with gradient interactions and the Cauchy-Born rule at positive temperature
(Applicants
Deuschel, Jean-Dominique
;
Luckhaus, Stephan
)
Equilibrium and ageing in glassy systems
(Applicant
Bovier, Anton
)
Herleitung effektiver Theorien für atomistisch dünne Röhren und Schichten
(Applicant
Müller, Stefan
)
Intermittency phenomena in random media
(Applicant
Gärtner, Jürgen
)
Heisenberg Fellowships
Completed projects
Sreening and correlation effects in Ostwald Ripening; Elastic effects in phase transitions; grain growth in polycrystalline films
(Applicant
Niethammer, Barbara
)
Research Fellowships
Completed projects
Data driven approach to fatigue crack growth modeling
(Applicant
Carrara, Ph.D., Pietro
)
Derivation of Euler Equations
(Applicant
Finco, Domenico
)
Multiscale Modeling of Damage in Micro-Heterogeneous Materials based on incremental variational formulations
(Applicant
Balzani, Daniel
)
Stochastische Teilchenapproximationen für geometrische Evolutionsgleichungen, insbesondere für den Yamabe- und den Ricci-Fluss
(Applicant
Philipowski, Robert
)
Heisenberg Grants
Current projects
Polynomial Techniques in Extremal Combinatorics
(Applicant
Sauermann, Ph.D., Lisa
)
Collaborative Research Centres
Current projects
Ageing and slow dynamics
(Project Head
Bovier, Anton
)
Central Tasks of the Collaborative Research Center
(Project Head
Müller, Stefan
)
Classical and quantum kinetic equations
(Project Head
Velázquez, Juan José López
)
Discrete Riemannian calculus on shape space
(Project Heads
Rumpf, Martin
;
Sturm, Karl-Theodor
)
Dynamics of coagulation-fragmentation equations
(Project Heads
Niethammer, Barbara
;
Velázquez, Juan José López
)
From pair potentials to macroscopic plasticity
(Project Heads
Conti, Sergio
;
Müller, Stefan
;
Ortiz, Ph.D., Michael
)
Hysteresis and microstructure in shape memory alloys
(Project Heads
Conti, Sergio
;
Knüpfer, Hans
;
Zwicknagl, Barbara
)
Metastability
(Project Heads
Bovier, Anton
;
Müller, Stefan
)
Nonlinear sigma models
(Project Head
Disertori, Margherita
)
Numerical optimization of shape microstructures
(Project Heads
Conti, Sergio
;
Rumpf, Martin
)
Optimal transport and random measures
(Project Heads
Huesmann, Martin
;
Sturm, Karl-Theodor
)
Random matrices and random surfaces
(Project Heads
Ferrari, Patrik L.
;
Peltola, Eveliina
)
Screening and long-range interactions in problems in materials science
(Project Heads
Niethammer, Barbara
;
Velázquez, Juan José López
)
SFB 1060: The Mathematics of Emergent Effects
(Spokesperson
Müller, Stefan
)
Statistical mechanics for lattice models of elasticity
(Project Heads
Bovier, Anton
;
Müller, Stefan
)
Wasserstein geometry, Ricci curvature and geometric analysis
(Project Heads
Erbar, Matthias
;
Kopfer, Eva
;
Maas, Jan
;
Sturm, Karl-Theodor
)
Completed projects
Analysis of multicomponent flows
(Project Heads
Conti, Sergio
;
Frehse, Jens
)
Analysis on collapsing manifolds and singular spaces
(Project Heads
Müller, Werner
;
Sturm, Karl-Theodor
)
Chaos: Stochastische und stabile Phänomene für Hamilton Systeme und deren Quantisierung
(Project Head
Albeverio, Sergio
)
Convergence of multi particle Monte Carlo methods for sampling and filtering
(Project Heads
Albeverio, Sergio
;
Eberle, Andreas
)
Flows of probability measures and nonlinear stochastic evolutions
(Project Head
Sturm, Karl-Theodor
)
Macroscopic limits of reinforced random walks
(Project Head
Velázquez, Juan José López
)
Metastability in stochastic dynamics
(Project Head
Bovier, Anton
)
Microskopic effects at fluid interfaces
(Project Heads
Alt, Hans Wilhelm
;
Griebel, Michael
)
Pattern formation in magnetic materials
(Project Heads
Kurzke, Matthias
;
Otto, Felix
)
Scaling limits of particle systems and stochastic interface dynamics
(Project Heads
Albeverio, Sergio
;
Alt, Hans Wilhelm
;
Eberle, Andreas
)
Singulary perturbed variational problems from nonlinea elasticity
(Project Head
Conti, Sergio
)
Skalenbildung singuläres Verhalten von Diffusionsprzessen
(Project Heads
Frehse, Jens
;
Hamenstädt, Ursula
)
Stochastic Processes with Variable Scaling Parameters
(Project Heads
Kaßmann, Rolf Moritz
;
Sturm, Karl-Theodor
)
Stochastische Analysis und Systeme mit unendlich vielen Freiheitsgraden
(Project Head
Albeverio, Sergio
)
Stochastische Prozesse auf komplexen Strukturen, Homogenisierung und stochastische partielle Differentialgleichungen
(Project Heads
Albeverio, Sergio
;
Sturm, Karl-Theodor
)
Surface dynamics driven by embedded substances
(Project Heads
Alt, Wolfgang
;
Alt, Hans Wilhelm
)
Wavelet Methods for Systems of Operator Equations
(Project Heads
Griebel, Michael
;
Kunoth, Angela
;
Scherer, Karl
)
Research Training Groups
Completed projects
GRK 251: Stochastic Processes and Probabilistic Analysis
(Spokesperson
Scheutzow, Michael
)
GRK 597: Analysis, Geometry and their Connection with the Natural Sciences
(Spokesperson
Rademacher, Hans-Bert
)
GRK 1128: Analysis, Numerics, and Optimisation of Multiphase Problems
(Spokesperson
Griewank, Andreas
)
Clusters of Excellence
Completed projects
EXC 59: Mathematics: Foundations, Models, Applications
(Spokesperson
Sturm, Karl-Theodor
)
EXC 1023: ImmunoSensation: The Immune Sensory System
(Spokesperson
Hartmann, Gunther
)
Clusters of Excellence (ExStra)
Current projects
EXC 2047: Hausdorff Center for Mathematics (HCM)
(Spokespersons
Blomer, Valentin
;
Lück, Wolfgang
;
Rumpf, Martin
;
Schwede, Stefan
)
Additional Information
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