Ajay Chandra

Preprints and Publications

1. Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime, with Ilya Chevyrev - Stochastic Partial Differential Equations: Analysis and Computations (2025)

2. Rough differential equations in the flow approach, with Léonard Ferdinand - Stochastic Processes and Applications (2025)

3. Rough geometric integration, with Harprit Singh

4. A priori bounds for 2-d generalised Parabolic Anderson Model, with Guilherme de Lima Feltes, and Hendrik Weber

5. A flow approach to the generalized KPZ equation, with Léonard Ferdinand

6. A Stochastic Analysis Approach to Tensor Field Theories, with Léonard Ferdinand -  Annales de l’Institut Henri Poincaré - Probabilités et Statistiques (2025)

7. A Dynamical Yukawa_2 Model, with Martin Hairer and Martin Peev - Communications in Mathematical Physics (2025)

8. Gauge field marginal of an Abelian Higgs model, with Ilya Chevyrev -  Communications in Mathematical Physics (2024)

9. Stochastic Quantisation of Yang Mills in 3D, with Ilya Chevyrev, Martin Hairer, and Hao Shen -  Inventiones Mathematicae (2024)

10. 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)

11. Phase transitions for Phi^4_3, with Trishen Gunaratnam and Hendrik Weber - Communications in Mathematical Physics (2022)

12. Langevin dynamic for the 2D Yang-Mills measure, with Ilya Chevyrev, Martin Hairer, and Hao Shen - Publications Mathématiques de l'IHÉS (2022)

13. 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)

14. Local solution to the multi-layer KPZ equation, with Dirk Erhard and Hao Shen - Journal of Statistical Physics (2019)

15. The dynamical sine-Gordon model in the full subcritical regime, with Martin Hairer and Hao Shen

16. Renormalising SPDEs in regularity structures, with Yvain Bruned, Ilya Chevyrev, and Martin Hairer - Journal of the European Mathematical Society (2020)

17. An analytic BPHZ theorem for regularity structures, with Martin Hairer 

18. Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problem, with Hao Shen - Electronic Journal of Probability (2017)

19. Stochastic PDEs, regularity structures, and interacting particle systems, with Hendrik Weber - Ann. Fac. Sci. Toulouse (2017)

20. Rigorous quantum field theory functional integrals over the p-adics: anomalous dimensions, with Abdelmalek Abdesselam and Gianluca Guadagni

Current and former Ph.D students

Hengchang Cao: 2023 -

Martin Peev (co-supervised with Martin Hairer): 2021 - 2025 (expected)
First position after PhD: Postdoc at University of Oxford

Léonard Ferdinand (co-supervised with Vincent Rivasseau): 2022-2024
First position after PhD: Postdoc at Max Planck Institute - Leipzig

Trishen Gunaratnam (co-supervised with Hendrik Weber): 2017-2020
First position after PhD: Postdoc at University of Geneva
Current position: Tenure track assistant professor in mathematics, jointly at Tata Mumbai and ICTS Bangalore