William Mead
I am a PhD student within the School of Mathematics and Statistics at the University of Melbourne.
My research interests are in integrable probability, non-equilibrium statistical mechanics and symmetric function theory. I am interested in the stochastic dualities and universal current distributions of integrable models, particularly of higher-rank models and models on the half-line.
Papers and theses
Transition probability and total crossing events in the multi-species asymmetric exclusion process, J. de Gier, W. Mead and M. Wheeler - Jan de Gier et al 2023 J. Phys. A: Math. Theor. 56 255204
The two-species totally asymmetric simple exclusion process - October 2020 - Master’s thesis (University of Melbourne)
Meetings and visits
- December 2022 - University of Oxford - visiting T. Yoshimura
- December 2022 - Eurandom, Eindhoven, Netherlands - attending Recent Developments in Stochastic Duality
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September 2022 - MATRIX, Creswick - attending Integrable Probability, Combinatorics and Representation Theory
- May 2022 - Università di Modena e Reggio Emilia - visiting C. Franceschini
- April-May 2022 - Galileo Galilei Institute for Theoretical Physics, Florence, Italy - attending Randomness, Integrability & Universality workshop
- February 2022 - ANZAMP 2022 (online)
- June 2021 - MATRIX, Creswick - attending Integrability and Combinatorics at Finite Temperature
Talks
Exclusion Process Dualities from Integrable Vertex Models
ANZAMP 2023
Hobart | 7 February 2023
ASEP Dualities from Integrable Vertex Models
Recent Developments in Stochastic Duality
Eurandom | 12 December 2022
Transition Probabilities in the Multi-species Asymmetric Exclusion Process
Randomness, Integrability and Universality
Galileo Galilei Institute | 4 May 2022
Transition Probabilities in the Multi-species Asymmetric Exclusion Process
ANZAMP 2022 | 9 February 2022
The two-species totally asymmetric simple exlcusion process
Integrability and Combinatorics at Finite Temperature
MATRIX | 17 June 2021 | video
The two-species totally asymmetric simple exlcusion process
ANZAMP Seminar Series 2021 | 16 March 2021
Contact
wmead@student.unimelb.edu.au
LinkedIn
I’m very casually working on a multi-species ASEP simulation tool in python. If this would be helpful for you then feel free to contact me and I can share it.