Staff
Antal Járai

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

Eric Hester

  • Asymptotic analysis of PDEs
  • Spectral algorithms for numerical PDE solvers
  • Multiphase fluid mechanics
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Stephen Wilson

Department of Mathematical Sciences

  • Fluid mechanics, especially thin-film flows, rivulets and evaporating droplets.
  • Non-Newtonian fluid mechanics, especially liquid crystals and thixotropic fluids.
  • More generally, the use of a range of mathematical (namely asymptotic, analytical and numerical) methods to bring new insights into a wide range of “real world” problems.
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Michael Murray

Department of Mathematical Sciences

  • Optimization: implicit regularization, geometry of the loss landscape
  • Generalization: benign and tempered overfitting, phase transitions in performance with respect to compute and data
  • Understanding emerging paradigms in ML, e.g., in-context learning, transformers etc.
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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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Jennifer Tweedy

Department of Mathematical Sciences

  • Mathematical medicine
  • Fluid mechanics
  • Mathematical modelling
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