Published and Accepted Articles
19. (With F. Baudoin, N. Demni) Stochastic areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels. Accepted by EMS for publishing. (2022). [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]
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]