Antal Járai

Staff

Department of Mathematical Sciences

Dr Antal Járai

Research interests:

Models arising from statistical physics, with an emphasis on understanding critical phenomena
Abelian sandpile model of self-organised criticality
Behaviour of random walks on fractal graphs

Antal develops mathematical models of statistical physics, critical phenomena, self-organized criticality, and mean-field behaviour. This specifically includes percolation, the Abelian sandpile model, the Drossel-Schwabl forest-fire model, random walks, self-avoiding walks, uniform spanning trees, and Lace expansions.

LINKS:

Antal Járai on the University of Bath Research Portal

Lead Supervisors

Federico Cornalba

Department of Mathematical Sciences

Modelling of large-scale interacting particle systems
Analysis and numerics of stochastic PDEs of Fluctuating Hydrodynamics
Reinforcement Learning methods

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Avi Mayorcas

Department of Mathematical Sciences

Regularisation by noise in stochastic partial and ordinary differential equations
Stochastic quantisation of physical field theories
Game theory and mean field dynamics in macroeconomics and finance

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Christoforos Panagiotis

Department of Mathematical Sciences

Percolation and lattice spin models
Probability on groups
Self-avoiding walk

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Matthew Schrecker

Department of Mathematical Sciences

Analysis of Partial Differential Equations
Fluid dynamics (especially free boundary problems and nonlinear singularity formation)
Shock waves (their formation, structure and dynamics)

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Haiyan Zheng

Department of Mathematical Sciences

Adaptive designs in clinical trials
Bayesian data augmentation
Finite mixture distributions

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Andreas Kyprianou

Andreas was instrumental in the development of SAMBa and was Co-Director from its inception until the end of 2022. He has left the University of Bath to take up the role of Chair of Probability at the University of Warwick.

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