Ajay Chandra
Hello, I am currently a Senior Lecturer (Assistant Professor) in mathematics at Imperial College London. My main focus has been the analysis of singular stochastic partial differential equations, along with connections to statistical mechanics and quantum field theory.
Preprints and Publications
A priori bounds for 2-d generalised Parabolic Anderson Model, with Guilherme de Lima Feltes, and Hendrik Weber
A flow approach to the generalized KPZ equation, with Léonard Ferdinand
A Stochastic Analysis Approach to Tensor Field Theories, with Léonard Ferdinand
A Dynamical Yukawa_2 Model, with Martin Hairer and Martin Peev
Gauge marginal of an Abelian Higgs model, with Ilya Chevyrev - accepted in Communications in Mathematical Physics
Stochastic Quantisation of Yang Mills in 3D, with Ilya Chevyrev, Martin Hairer, and Hao Shen - accepted in Inventiones
A priori bounds for rough differential equations with a non-linear damping term, with Timothee Bonnefoi, Augustin Moinat, and Hendrik Weber - Journal of Differential Equations (2022)
Phase transitions for Phi^4_3, with Trishen Gunaratnam and Hendrik Weber - Communications in Mathematical Physics (2022)
Langevin dynamic for the 2D Yang-Mills measure, with Ilya Chevyrev, Martin Hairer, and Hao Shen - Publications Mathématiques de l'IHÉS (2022)
A priori bounds for the Φ^4 equation in the full sub-critical regime, with Augustin Moinat and Hendrik Weber - Archive for Rational Mechanics and Analysis (2023)
Local solution to the multi-layer KPZ equation, with Dirk Erhard and Hao Shen - Journal of Statistical Physics (2019)
The dynamical sine-Gordon model in the full subcritical regime, with Martin Hairer and Hao Shen
Renormalising SPDEs in regularity structures, with Yvain Bruned, Ilya Chevyrev, and Martin Hairer - Journal of the European Mathematics Society (2020)
An analytic BPHZ theorem for regularity structures, with Martin Hairer
Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problem, with Hao Shen - Electronic Journal of Probability (2017)
Stochastic PDEs, regularity structures, and interacting particle systems, with Hendrik Weber - Ann. Fac. Sci. Toulouse (2017)
Rigorous quantum field theory functional integrals over the p-adics: anomalous dimensions, with Abdelmalek Abdesselam and Gianluca Guadagni