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We have 29 Stochastic Processes PhD Projects, Programmes & Scholarships

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Stochastic Processes PhD Projects, Programmes & Scholarships

We have 29 Stochastic Processes PhD Projects, Programmes & Scholarships

A PhD in Stochastic Processes is an exciting and challenging opportunity for those who have a passion for probability theory and its applications. This advanced degree program delves deep into the study of random processes and their mathematical models.

What's it like to study a PhD in Stochastic Processes?

Studying a PhD in Stochastic Processes is a fascinating journey into the world of randomness and uncertainty. You will have the opportunity to explore various mathematical techniques and tools used to model and analyze random phenomena. From Markov chains to Brownian motion, you will gain a deep understanding of the theory behind stochastic processes and their applications in various fields such as finance, engineering, and biology.

During your PhD, you will work closely with your advisor and other researchers in the field. You will engage in rigorous mathematical analysis, develop new models, and contribute to the existing body of knowledge. This program requires a strong background in mathematics and a keen interest in probability theory. You will also have the chance to attend conferences and present your research findings, allowing you to network with experts in the field and gain valuable insights.

Entry requirements for a PhD in Stochastic Processes

To pursue a PhD in Stochastic Processes, you will typically need a strong undergraduate degree in Mathematics or a related field. Most universities require a minimum of a 2.1 Honours degree, although some may consider applicants with a 2.2 if they have relevant research experience or a higher-level degree. Additionally, having a solid foundation in probability theory and mathematical analysis is crucial for success in this program.

PhD in Stochastic Processes funding options

Funding for PhDs in Stochastic Processes may be available from various sources, including governments, universities and charities, business or industry. See our full guides to PhD funding for more information.

PhD in Stochastic Processes careers

A PhD in Stochastic Processes opens up a wide range of career opportunities. Many graduates go on to become researchers and professors in academia, contributing to the advancement of knowledge in the field. Others find employment in industries such as finance, insurance, and data science, where the ability to model and analyze random processes is highly valued.

The skills developed during a PhD in Stochastic Processes, such as problem-solving, critical thinking, and advanced mathematical modeling, are highly transferable and sought after in various sectors. Whether you choose to pursue a career in academia or industry, a PhD in Stochastic Processes equips you with the expertise to make a significant impact in the field of mathematics and beyond.

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4-Year PHD Studentship in Diffusion based generative models and their application to generative data augmentation and uncertainty quantification (NTU, Singapore)

Diffusion-based generative models for images such as Ho et al. (2020), Dockhorn et al. (2021) have made significant impact, and nowadays become routinely used in smartphones. Read more
 Supervisor: Prof D Paulin
 Year round applications  PhD Research Project  Funded PhD Project (Students Worldwide)
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Emergent diffusion in inherently stochastic Hamiltonian systems (Ref: MA/GT - SF)

Diffusion, the time-irreversible spread of mass, momentum and energy on macroscopic length scales is one of the most common phenomena in classical physics. Read more
 Supervisor: Dr G Toth
 1 July 2025  PhD Research Project  Self-Funded PhD Students Only
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Single-turbine scale quantification of wake turbulence

This PhD scholarship is offered by the EPSRC CDT in Offshore Wind Energy Sustainability and Resilience, a partnership between the Universities of Durham, Hull, Loughborough and Sheffield. Read more
 Supervisors: Prof C Keylock, Dr Y Li, Prof MG Guala
 9 May 2025  PhD Research Project  Competition Funded PhD Project (UK Students Only)
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Last chance to apply

Practical Space-Time Limits of Quantum Applications.

One PhD position (UK applicants only) is available in the newly formed group of Asst. Prof. Simon Milz at the Institute of Photonics and Quantum Sciences (IPaQS) at Heriot-Watt University, Edinburgh. Read more
 Supervisor: Dr S Milz
 28 March 2025  PhD Research Project  Funded PhD Project (UK Students Only)
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Digital Twin Extrapolation in Space Object Re-Entry Monitoring

Project Summary. Develop advanced digital twin technology for space object re-entry monitoring, addressing multiphysics coupling and hybrid uncertainties. Read more
 Supervisor: Dr S Bi
 30 August 2025  PhD Research Project  Funded PhD Project (Students Worldwide)
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PhD in Mechanical Engineering - Federated Digital Twins for Reducing Risk and Uncertainty in Hydrogen Integration.

The energy transition is a highly stochastic and complex problem, especially given the increasing demand to rapidly decarbonize through whole systems thinking – coupling previously independent critical infrastructure and services e.g., energy-transport networks etc. Read more
 Supervisors: Prof DF Flynn, Prof M Imran
 31 May 2025  PhD Research Project  Funded PhD Project (UK Students Only)
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Modelling the global spread and evolution of human viral infections

The evolution of human viral infections imposes a continuous threat for global health. The COVID-19 pandemic was characterised by substantial waves of infection resulting from increasingly infectious variants, from Alpha through to Omicron. Read more
 Supervisor: Dr SM Moore
 28 March 2025  PhD Research Project  Competition Funded PhD Project (UK Students Only)
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Long time behaviour of generative models

  Research Group: Financial Mathematics
The proliferation of generative models, combined with pretraining on web-scale data, raises a crucial question. Read more
 Supervisor: Dr LC Galimberti
 15 June 2025  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Stochastic Modelling of Transport Processes in Biology

The PhD project is concerned with the applications of the continuous-time random walk models and fractional partial differential equations in biological transport phenomena. Read more
 Supervisor: Prof S Fedotov
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Statistical foundations of deep generative models

Deep generative models (DGMs) are a broad class of models that train deep neural networks to generate synthetic samples from a target distribution associated to a given training data set. Read more
 Supervisor: Dr L Trottner
 Year round applications  PhD Research Project  Funded PhD Project (UK Students Only)
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Optimum antenna arrays for 6G wireless communications

Antennas are the corner stone of wireless communications as they are responsible for transmitting and receiving the electromagnetic wave that carries the information message. Read more
 Supervisor: Assoc Prof P Karadimas
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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(UoM - IISc Bangalore) Beyond Traditional Models: Pricing, Hedging, and Risk Management in Complex Financial Markets

Stochastic modelling in finance presents significant challenges tied to real world complexities. With recent advances, we now have models that account for limited arbitrage, transaction costs, including volatility derivatives, and accounting for model uncertainties. Read more
 Supervisors: Dr H Chau, Dr S Jain
 7 April 2025  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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High-resolution Object Detection in Sea Clutter Enviroments

  Research Group: Centre for Doctoral Training - Sensing, Processing, and AI for Defence and Security
The recent advances in computational methods and data-adaptive approaches, opened a new possibility in using adaptive models for sea-clutter environments as a (non-stationary) stochastic process and design a high-resolution range-azimuth-Doppler detectors (3-dimensional problem). Read more
 Supervisor: Dr M Yaghoobi
 31 August 2025  PhD Research Project  Funded PhD Project (Students Worldwide)
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Optimising underground energy storage systems through mathematical modelling and data integration

Underground energy storage in the form of compressed gas is emerging as a pivotal solution in the transition to a sustainable clean energy economy. Read more
 Supervisors: Dr I Chernyaysky, Prof O Jensen, Dr L Ma, Prof R Boya
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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The semiring of partial transformations: an algebraic and algorithmic approach to modularity

This project will aim to design algorithms to efficiently solve equations in the semiring of partial transformations. This is a theoretical project in an area that combines graph theory, algebra, and algorithms. Read more
 Supervisor: Dr M Gadouleau
 Year round applications  PhD Research Project  Self-Funded PhD Students Only

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