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Department of Pure Mathematics and Mathematical Statistics

 

Professor of Probability 

Research Interests: Probability theory, analysis, and mathematical physics.

 

Publications

Finite-Order Correlation Length for Four-Dimensional Weakly Self-Avoiding Walk and ${|\varphi|^4}$ | φ | 4 Spins
R Bauerschmidt, G Slade, A Tomberg, BC Wallace
– Annales Henri Poincaré
(2016)
18,
375
Renormalisation group analysis of 4D spin models and self-avoiding walk
R Bauerschmidt, DC Brydges, G Slade
(2016)
Bulk eigenvalue statistics for random regular graphs
R Bauerschmidt, J Huang, A Knowles, HT Yau
– The Annals of Probability
(2016)
45,
3626
Critical Two-Point Function of the 4-Dimensional Weakly Self-Avoiding Walk
R Bauerschmidt, DC Brydges, G Slade
– Communications in Mathematical Physics
(2015)
338,
169
Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis
R Bauerschmidt, DC Brydges, G Slade
– Communications in Mathematical Physics
(2015)
337,
817
A Renormalisation Group Method. III. Perturbative Analysis
R Bauerschmidt, DC Brydges, G Slade
– Journal of Statistical Physics
(2015)
159,
492
Scaling Limits and Critical Behaviour of the $4$ 4 -Dimensional $n$ n -Component $|\varphi |^4$ | φ | 4 Spin Model
R Bauerschmidt, DC Brydges, G Slade
– Journal of Statistical Physics
(2014)
157,
692
Structural Stability of a Dynamical System Near a Non-Hyperbolic Fixed Point
R Bauerschmidt, DC Brydges, G Slade
– Annales Henri Poincaré
(2014)
16,
1033
Fluctuations in a kinetic transport model for quantum friction
R Bauerschmidt, W De Roeck, J Fröhlich
– Journal of Physics A: Mathematical and Theoretical
(2014)
47,
275003
A simple method for finite range decomposition of quadratic forms and Gaussian fields
R Bauerschmidt
– Probability Theory and Related Fields
(2013)
157,
817
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Room

D1.19

Telephone

01223 766806