Published and Accepted Articles
22. (With F. Baudoin, L. Chen, C. Huang, C. Ouyang, S. Tindel) Parabolic Anderson model in bounded domains of recurrent metric measure spaces, (2024) [Arxiv] Accepted by AMS Trans. for publishing.
21. (With M. Gordina, T. Melcher) Large deviations principle for sub-Riemannian random walks. (2023) [Arxiv] Accepted by AIHP for publishing.
20. (With P. Mariano) Spectral bounds for exit times on metric measure Dirichlet spaces and applications,Spectral bounds for exit times on metric measure Dirichlet spaces and applications. Stochastic Processes and their Applications (2025): 104707 (2025) [Arxiv] .
19. (With F. Baudoin, N. Demni) Stochastic areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels. EMS Press, 2024. [Arxiv]
18. (With F. Baudoin, C. Ouyang, S. Tindel) Parabolic Anderson model on Heisenberg groups: the Ito setting, Journal of Functional Analysis, Vol 285, Issue 1 (2023) [Arxiv]
17. (With B. Rodrigo, P. Mariano) Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian. Transaction of AMS, https://doi.org/10.1090/tran/8903, [Arxiv]
16. (With P. Mariano, H. Panzo) Improved upper bounds for the Hot Spots constant of Lipschitz domains, Potential Analysis (2022) 1-17 [Arxiv]
15. (With F. Baudoin, N. Demni), Generalized stochastic areas, winding numbers, and hyperbolic Stiefel fibrations, International Mathematics Research Notice (2023) (9), 7925-7960 [Arxiv]
14. (With F. Baudoin), Asymptotic windings of the block determinants of a unitary Brownian motion and related diffusions. Elect. Journal of Probability, (2021) 26 1-21 [Arxiv]
13. (With F. Baudoin, N. Demni) Quaternionic Brownian windings, Journal of Theoretical Probability, 34, 2368-2385, (2021). [Arxiv]
12. (With F. Baudoin, N. Demni) Quaternionic stochastic areas, Stochastic Process and their Applications, vol 131, (2021), pp 311-339. [Arxiv]
11. (With D. Pirjol, L. Zhu) Short Maturity Forward Start Asian Options in Local Volatility Models, Applied Mathematical Finance 26.3 (2019): 187-221. [Arxiv]
10. (With F. Baudoin, N. Demni) The horizontal heat kernel on the quaternionic anti de-Sitter spaces and related twistor spaces, Journal of Potential Analysis, 52.2 (2020): 281-300 [Arxiv]
9. (With J. Tyson) Heat content and horizontal mean curvature on the Heisenberg group Communications in Partial Differential Equations, 43.3 (2018): 467-505 [Arxiv]
8. (With F. Baudoin) Stochastic areas, Winding numbers and Hopf vibrations Probability Theory and Related Fields, (2017),
Volume 169, Issue 3-4, pp 977-1005, [Arxiv]
7. Conformal transforms and Doob’s h-processes on Heisenberg groups ,Birkhauser’s series, Progress in Probability, 72 (2017) 165-177 [Arxiv]
6. (With N. Feldheim, A. Marsiglietti, P. Nayar) A note on the convex infimum convolution inequality, Bernoulli Journal, (2018) Volume 24, Number 1, 257-270 [Arxiv]
5. The Subelliptic Heat Kernel on the anti-de Sitter spaces, Journal of Potential Analysis, (2016), 45(4), 635-653 [Arxiv]
4. (With F. Baudoin, B. Kim) Transverse Weitzenbock formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves, Communications in Analysis and Geometry, Vol. 24, No. 5 (2016) pp. 913-937 [Arxiv]
3. (With F. Baudoin) The Subelliptic Heat Kernels of the Quaternionic Hopf Fibration, Potential Analysis Journal of Potential Analysis, Volume 41, Issue 3, (2014) 959-982 [Arxiv]
2. (With F. Baudoin) Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds, Journal of Potential Analysis, 40, (2014) 163-193 [Arxiv]
1. (With F. Baudoin) The Subelliptic Heat Kernel on the CR Sphere, Mathematische Zeitschrift, 275, (2013), 1-2, 135-150 [Arxiv]
21. (With M. Gordina, T. Melcher) Large deviations principle for sub-Riemannian random walks. (2023) [Arxiv] Accepted by AIHP for publishing.
20. (With P. Mariano) Spectral bounds for exit times on metric measure Dirichlet spaces and applications,Spectral bounds for exit times on metric measure Dirichlet spaces and applications. Stochastic Processes and their Applications (2025): 104707 (2025) [Arxiv] .
19. (With F. Baudoin, N. Demni) Stochastic areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels. EMS Press, 2024. [Arxiv]
18. (With F. Baudoin, C. Ouyang, S. Tindel) Parabolic Anderson model on Heisenberg groups: the Ito setting, Journal of Functional Analysis, Vol 285, Issue 1 (2023) [Arxiv]
17. (With B. Rodrigo, P. Mariano) Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian. Transaction of AMS, https://doi.org/10.1090/tran/8903, [Arxiv]
16. (With P. Mariano, H. Panzo) Improved upper bounds for the Hot Spots constant of Lipschitz domains, Potential Analysis (2022) 1-17 [Arxiv]
15. (With F. Baudoin, N. Demni), Generalized stochastic areas, winding numbers, and hyperbolic Stiefel fibrations, International Mathematics Research Notice (2023) (9), 7925-7960 [Arxiv]
14. (With F. Baudoin), Asymptotic windings of the block determinants of a unitary Brownian motion and related diffusions. Elect. Journal of Probability, (2021) 26 1-21 [Arxiv]
13. (With F. Baudoin, N. Demni) Quaternionic Brownian windings, Journal of Theoretical Probability, 34, 2368-2385, (2021). [Arxiv]
12. (With F. Baudoin, N. Demni) Quaternionic stochastic areas, Stochastic Process and their Applications, vol 131, (2021), pp 311-339. [Arxiv]
11. (With D. Pirjol, L. Zhu) Short Maturity Forward Start Asian Options in Local Volatility Models, Applied Mathematical Finance 26.3 (2019): 187-221. [Arxiv]
10. (With F. Baudoin, N. Demni) The horizontal heat kernel on the quaternionic anti de-Sitter spaces and related twistor spaces, Journal of Potential Analysis, 52.2 (2020): 281-300 [Arxiv]
9. (With J. Tyson) Heat content and horizontal mean curvature on the Heisenberg group Communications in Partial Differential Equations, 43.3 (2018): 467-505 [Arxiv]
8. (With F. Baudoin) Stochastic areas, Winding numbers and Hopf vibrations Probability Theory and Related Fields, (2017),
Volume 169, Issue 3-4, pp 977-1005, [Arxiv]
7. Conformal transforms and Doob’s h-processes on Heisenberg groups ,Birkhauser’s series, Progress in Probability, 72 (2017) 165-177 [Arxiv]
6. (With N. Feldheim, A. Marsiglietti, P. Nayar) A note on the convex infimum convolution inequality, Bernoulli Journal, (2018) Volume 24, Number 1, 257-270 [Arxiv]
5. The Subelliptic Heat Kernel on the anti-de Sitter spaces, Journal of Potential Analysis, (2016), 45(4), 635-653 [Arxiv]
4. (With F. Baudoin, B. Kim) Transverse Weitzenbock formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves, Communications in Analysis and Geometry, Vol. 24, No. 5 (2016) pp. 913-937 [Arxiv]
3. (With F. Baudoin) The Subelliptic Heat Kernels of the Quaternionic Hopf Fibration, Potential Analysis Journal of Potential Analysis, Volume 41, Issue 3, (2014) 959-982 [Arxiv]
2. (With F. Baudoin) Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds, Journal of Potential Analysis, 40, (2014) 163-193 [Arxiv]
1. (With F. Baudoin) The Subelliptic Heat Kernel on the CR Sphere, Mathematische Zeitschrift, 275, (2013), 1-2, 135-150 [Arxiv]
Submitted Articles
23. (With M. Gordina) Rigidity of the subelliptic heat kernel on SU(2) (2024) [Arxiv]
24. (With F. Baudoin, L. Chen, C. Huang, C. Ouyang, S. Tindel) Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model (2025) [Arxiv]
25. (With F. Baudoin, Nizar Demni, Teije Kuijper) Brownian motion and stochastic areas on complex full flag manifolds (2025) [Arxiv]
26. (With P. Mariano) Survival probability for jump processes in unbounded domains on metric measure spaces [Arxiv]
24. (With F. Baudoin, L. Chen, C. Huang, C. Ouyang, S. Tindel) Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model (2025) [Arxiv]
25. (With F. Baudoin, Nizar Demni, Teije Kuijper) Brownian motion and stochastic areas on complex full flag manifolds (2025) [Arxiv]
26. (With P. Mariano) Survival probability for jump processes in unbounded domains on metric measure spaces [Arxiv]
