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Mathematical Modelling

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Mathematical Modelling

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Research Frontiers in Stochastic Differential Equations and Path Integration

Development of advanced numerical methods for solving SDEs with applications to financial derivatives and molecular dynamics simulations.

Rare Event Dynamics in High-Dimensional Path Spaces
Stochastic Resonance Across Non-Euclidean Geometries
Path Memory and Non-Markovian Noise Coupling
Dimensional Collapse in Multiscale Stochastic Systems
Noise-Induced Phase Transitions in Constrained Manifolds
Functional Integration Beyond Gaussian Approximations
Ergodic Breaking in Weakly Nonlinear Stochastic Flows
Trapping Pathways in Rugged Energy Landscapes
Intermittency and Extremal Statistics in Path Ensembles
Stochastic Topology and Critical Fluctuation Barriers

All Mathematical Modelling PhD categories