Stochastic Differential Equations
Differential equations that combine deterministic evolution with random forcing to represent systems influenced by continuous uncertainty.
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Clear searchDifferential equations that combine deterministic evolution with random forcing to represent systems influenced by continuous uncertainty.
Quantitative analysis of how human-caused climate change altered the probability or intensity of a particular weather or climate extreme.
Continuously updated computational representations of physical assets or processes used to estimate state, test scenarios and guide decisions.
Computing architectures that use brain-inspired event-driven neurons, synapses and memory-compute integration.
Methods that quantify connected components, loops and higher-dimensional voids in data across a range of spatial scales.
Atomistic computation that propagates molecular motion through time using an interaction model and numerical integration.
The reconstruction and analysis of genomes from ancient biological remains to study populations, evolution and disease through time.
The characterisation and management of subsurface heat, fluids and fractures for durable geothermal energy production.
The capacity of a planetary environment to sustain conditions compatible with life over relevant places and times.
The pattern-transfer processes used to define nanoscale electronic structures repeatedly across semiconductor wafers.
Machine learning for sequential decisions in which an agent improves behaviour from rewards generated through interaction.
Irregular, multiscale fluid motion in which nonlinear interactions transport momentum, heat and energy across a hierarchy of eddies.
The separation of carbon dioxide from concentrated sources or air followed by transport and long-term geological containment.
Engineered structures whose collective wave response is governed primarily by subwavelength geometry rather than bulk composition alone.
The production and transformation of atomic nuclei through fusion, capture and decay processes inside stars and stellar explosions.
The framework that combines quantum mechanics with special relativity by treating particles as excitations of underlying fields.
The deformation, sliding and mass exchange that govern how land ice flows from accumulation zones toward its margins.
Collective problem-solving that emerges from local interactions among many comparatively simple autonomous agents.
The deflection and magnification of light by curved spacetime around intervening mass distributions.
The coupled combustion, atmosphere, fuel and terrain processes that govern how landscape fires ignite and spread.
The algorithmic creation of amino-acid sequences expected to fold into structures with specified biochemical functions.
A framework for updating probability distributions over unknown quantities when new evidence is observed.
The coupled flow, degassing and fragmentation processes that govern how magma reaches the surface and erupts.
The controlled release of nuclear binding energy by combining light nuclei under extreme temperature and confinement.