Professor of Probability
Research Interests: Probability theory, analysis, and mathematical physics.
Publications
Finite-order correlation length for 4-dimensional weakly self-avoiding
walk and $|\varphi|^4$ spins
– Journal of Statistical Physics
(2016)
(doi: 10.1007/s00023-016-0499-0)
Finite-Order Correlation Length for Four-Dimensional Weakly Self-Avoiding Walk and ${|\varphi|^4}$ | φ | 4 Spins
– Annales Henri Poincare
(2016)
18,
375
(doi: 10.1007/s00023-016-0499-0)
Renormalisation group analysis of 4D spin models and self-avoiding walk
(2016)
Bulk eigenvalue statistics for random regular graphs
– Annals of Probability
(2016)
45,
3626
(doi: 10.1214/16-AOP1145)
Critical Two-Point Function of the 4-Dimensional Weakly Self-Avoiding Walk
– Communications in Mathematical Physics
(2015)
338,
169
(doi: 10.1007/s00220-015-2353-5)
Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis
– Communications in Mathematical Physics
(2015)
337,
817
(doi: 10.1007/s00220-015-2352-6)
A Renormalisation Group Method. III. Perturbative Analysis
– Journal of Statistical Physics
(2015)
159,
492
(doi: 10.1007/s10955-014-1165-x)
Scaling Limits and Critical Behaviour of the $4$ 4 -Dimensional $n$ n -Component $|\varphi |^4$ | φ | 4 Spin Model
– Journal of Statistical Physics
(2014)
157,
692
(doi: 10.1007/s10955-014-1060-5)
Structural Stability of a Dynamical System Near a Non-Hyperbolic Fixed Point
– Annales Henri Poincare
(2014)
16,
1033
(doi: 10.1007/s00023-014-0338-0)
Fluctuations in a kinetic transport model for quantum friction
– Journal of Physics A: Mathematical and Theoretical
(2014)
47,
275003
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