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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
Current projects
Derivation and analysis of effective suspension models
(Applicants
Cobb, Dimitri
;
Höfer, Richard
;
Schubert, Richard
)
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
;
Keplinger, Christoph
;
Ortiz, Ph.D., Michael
)
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
)
WBP Position
Current projects
Stability and robustness issues for linear and nonlinear time delay systems
(Applicant
Aleksandrova, Ph.D., Irina
)
Collaborative Research Centres
Completed projects
Ageing and slow dynamics
(Project Head
Bovier, Anton
)
Analysis of multicomponent flows
(Project Heads
Conti, Sergio
;
Frehse, Jens
)
Analysis on collapsing manifolds and singular spaces
(Project Heads
Müller, Werner
;
Sturm, Karl-Theodor
)
Central Tasks of the Collaborative Research Center
(Project Head
Müller, Stefan
)
Chaos: Stochastische und stabile Phänomene für Hamilton Systeme und deren Quantisierung
(Project Head
Albeverio, Sergio
)
Classical and quantum kinetic equations
(Project Head
Velázquez, Juan José López
)
Convergence of multi particle Monte Carlo methods for sampling and filtering
(Project Heads
Albeverio, Sergio
;
Eberle, Andreas
)
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
)
Flows of probability measures and nonlinear stochastic evolutions
(Project Head
Sturm, Karl-Theodor
)
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
)
Macroscopic limits of reinforced random walks
(Project Head
Velázquez, Juan José López
)
Metastability
(Project Heads
Bovier, Anton
;
Müller, Stefan
)
Metastability in stochastic dynamics
(Project Head
Bovier, Anton
)
Microskopic effects at fluid interfaces
(Project Heads
Alt, Hans Wilhelm
;
Griebel, Michael
)
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
)
Pattern formation in magnetic materials
(Project Heads
Kurzke, Matthias
;
Otto, Felix
)
Random matrices and random surfaces
(Project Heads
Ferrari, Patrik L.
;
Peltola, Eveliina
)
Scaling limits of particle systems and stochastic interface dynamics
(Project Heads
Albeverio, Sergio
;
Alt, Hans Wilhelm
;
Eberle, Andreas
)
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
)
Singulary perturbed variational problems from nonlinea elasticity
(Project Head
Conti, Sergio
)
Skalenbildung singuläres Verhalten von Diffusionsprzessen
(Project Heads
Frehse, Jens
;
Hamenstädt, Ursula
)
Statistical mechanics for lattice models of elasticity
(Project Heads
Bovier, Anton
;
Müller, Stefan
)
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
)
Wasserstein geometry, Ricci curvature and geometric analysis
(Project Heads
Erbar, Matthias
;
Kopfer, Eva
;
Maas, Jan
;
Sturm, Karl-Theodor
)
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
)
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