1. Most probable flows for Kunita SDEs. (arXiv:2209.03868)
   Appl Math Optim 89, 44 (2024)
   Erlend Grong and Stefan Sommer

2. Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion (arXiv:2305.02688)
   Journal of Lie Theory 34 (2024), No. 2, 339-352
   Erlend Grong, Hans Z. Munthe-Kaas and Jonatan Stava

3. Harmonic maps into sub-Riemannian Lie groups (arXiv:2305.06096)
   Communications in Analysis and Mechanics (2023), Volume 15, Issue 3: 515-532.
   Erlend Grong and Irina Markina

4. Curvature and the equivalence problem in sub-Riemannian geometry. (arXiv:2206.15123)
   Arch. Math. (Brno) 58 (2022), no.5, 295–327.
   Erlend Grong

5. H-type foliations. (arXiv:1812.02563)
   Differential Geom. Appl. 85 (2022), Paper No. 101952
   Fabrice Baudoin, Erlend Grong, Gianmarco Molino and Luca Rizzi.

6. Most probable paths for anisotropic Brownian motions on manifolds (arXiv:2110.15634)
   Foundations of Computational Mathematics (2022): 1-33. https://doi.org/10.1007/s10208-022-09594-4
   Erlend Grong and Stefan Sommer

7. Geometric rough paths on infinite dimensional spaces. (arXiv:2006.06362)
   J. Differential Equations 340 (2022), 151–178.
   Erlend Grong, Torstein Nilssen, Alexander Schmeding

8. A horizontal Chern-Gauss-Bonnet formula on totally geodesic foliations (arXiv:2106.15558)
   Ann. Global Anal. Geom. 61 (2022), no. 4, 759–776.
   Fabrice Baudoin, Erlend Grong, Gianmarco Vega-Molino

9. Functional inequalities on path space of sub-Riemannian manifolds and applications. (arXiv:1912.03575)
   Nonlinear Anal. 210 (2021), Paper No. 112387, 30 pp.
   Li-Juan Cheng, Erlend Grong and Anton Thalmaier 

10. Model spaces in sub-Riemannian geometry. (arXiv:1610.07359)
    Comm. Anal. Geom. 29 (2021), no. 1.
    Erlend Grong

11. On G2 and Sub-Riemannian Model Spaces of Step and Rank Three. (arXiv:1901.0666)
    Math. Z. 298 (2021), no. 3-4, 1853–1885.
    Erik Berge and  Erlend Grong

12. Radial processes for sub-Riemannian Brownian motions and applications. (arXiv:2002.02556)
    Electronic Journal of Probability 2020, Vol. 25, paper no. 97, 1-17.
    Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada, Robert Neel, Anton Thalmaier

13. Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations. (arXiv:1711.08382)
    Ann. Global Anal. Geom. 56 (2019), no. 2, 403 - 428.
    Fabrice Baudoin and Erlend Grong, 

14. Horizontal holonomy and foliated manifolds. (arXiv:1511.05830)
    Ann. Inst. Fourier (Grenoble) 69 (2019), no. 3, 1047–1086.
    Yacine Chitour, Erlend Grong, Frédéric Jean and Petri Kokkonen

15. Submersions and curves of constant geodesic curvature. (arXiv:1707.05155)
    Mathematische Nachrichten. 2019 ; 292 : 1956–1971.
    Mauricio Godoy Molina, Erlend Grong and Irina Markina 

16. Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. (arXiv:1706.08489)
    Calc. Var. Partial Differential Equations 58 (2019), no. 4, Art. 130, 38 pp.
    Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada and Anton Thalmaier

17. A Lichnerowicz estimate for the spectral gap of the sub-Laplacian. (arXiv:1708.05835)
    Proc. Amer. Math. Soc. 147 (2019), no. 12, 5153–5166.
    Stine Marie Berge and Erlend Grong 

18. Stochastic completeness and gradient representations for sub-Riemannian manifolds. (arXiv:1605.00785)
    Potential Anal. 51 (2019), no. 2, 219 - 254.
    Erlend Grong and Anton Thalmaier, 34 pages.

19. Asymptotic expansions of holonomy. (arXiv:1701.02570)
    Forum Math. 30 (2018), no. 6, 1363 -1385.
    Erlend Grong and Pierre Pansu

20. Riemannian and Sub-Riemannian geodesic flows. (arXiv:1502.06018)
    J. Geom. Anal. 27 (2017), no. 2, 1260 - 1273.
    Mauricio Godoy Molina and Erlend Grong

21. Submersions, Hamiltonian systems and optimal solutions to the rolling manifolds problem. (arXiv:1212.3651)
    SIAM J. Control Optim. vol 54 (2016), no. 2, 536 - 566.
    Erlend Grong

22. Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations, Part I. (arXiv:1408.6873)
    Math Z., vol. 282 (2016), no. 1, 99 - 130.
    Erlend Grong and Anton Thalmaier 

23. Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations, Part II. (arXiv:1408.6872)
    Math Z., vol. 282 (2016), no. 1, 131 - 164.
    Erlend Grong and Anton Thalmaier

24. Sub-Riemannian geometry on infinite-dimensional manifolds. (arXiv:1201.2251)
    J. Geom. Anal., vol. 25 (2015), no. 4, 2474 - 2515.
    Erlend Grong, Irina Markina and Alexander Vasil’ev

25. Geometric conditions for the existence of a rolling without twisting or slipping. (arXiv:1111.0752)
    Commun. Pure Appl. Anal. vol. 13 (2014), no. 1, 435 - 452.
    Mauricio Godoy Molina and Erlend Grong 

26.  Controllability of rolling without twisting or slipping in higher dimensions. (arXiv:1103.5258)
    SIAM J. Control Optim. vol. 50 (2012), no. 4, 2462 - 2485.
    Erlend Grong

27. An intrinsic formulation to the rolling manifolds problem.
    J. Dyn. Control Syst. vol. 18 (2012), no. 2, 181 - 214.
    Mauricio Godoy Molina, Erlend Grong, Irina Markina and Fátima Silva Leite
    (arXiv:1008.1856)

28. Sub-Riemannian and sub-Lorentzian geometry of SU(1, 1) and its universal cover. (arXiv:0910.0945)
    J. Geom. Mech. vol. 3 (2011), no. 2, 225 - 260.
    Erlend Grong and Alexander Vasil’ev

29. Matching univalent functions and conformal welding. (arXiv:0806.0930)
    Ann. Acad. Sci. Fenn. Math. vol. 34 (2009), no. 1, 303 - 314.
    Erlend Grong, Pavel Gumenyuk and Alexander Vasil’ev

1. Comparison theorems on H-type sub-Riemannian manifolds. (arXiv:1909.03532)
   Fabrice Baudoin, Erlend Grong, Gianmarco Molino and Luca Rizzi 

2. Affine connections and curvature in sub-Riemannian geometry. (arXiv:2001.03817)
   Erlend Grong

3. Canonical connections on sub-Riemannian manifolds with constant symbol. (arXiv:2010.05366)
   Erlend Grong

4. A sub-Riemannian Gauss-Bonnet theorem for surfaces in contact manifolds (arXiv:2204.03451)
   Erlend Grong, Jorge Hidalgo and Sylvie Vega-Molino

5. Most probable paths for developed processes. (arXiv:2211.15168)
   Erlend Grong and Stefan Sommer

6. Variations of the sub-Riemannian distance on Sasakian manifolds with applications to coupling (arXiv:2212.07715)
   Fabrice Baudoin, Erlend Grong, Robert Neel and Anton Thalmaier

7. Principal subbundles for dimension reduction (arXiv:2307.03128)
   Morten Akhøj, James Benn, Erlend Grong, Stefan Sommer, Xavier Pennec

8. Geometry of the Visual Cortex with Applications to Image Inpainting and Enhancement (arXiv:2308.07652)
   Francesco Ballerin and Erlend Grong

9. Filtered complexes and cohomologically equivalent subcomplexes (arXiv:2308.11353)
   Erlend Grong and Francesca Tripaldi

10. Controllability of shapes through Landmark Manifolds (arXiv:2403.08090)
    Erlend Grong and Sylvie Vega-Molino

11. Controllability and diffeomorphism groups on manifolds with boundary (arXiv:2403.12742)
    Erlend Grong and Alexander Schmeding

Conference proceedings 

1. Intrinsic rolling of manifolds. (Peer reviewed) Proceedings Conference Controlo 2010. Mauricio Godoy Molina, Erlend Grong, Irina Markina and Fátima Silva Leite.

2. Rolling manifolds: An intrinsic perspective. Mathematical papers in honour of Fátima Silva Leite, 71 - 83, Textos Mat. Sér. B, 43, Univ. Coimbra, Coimbra, 2011. Mauricio Godoy Molina, Erlend Grong, Fátima Silva Leite and Irina Markina.

3. Sub-Riemannian structures corresponding to Kählerian metrics on the universal Teichmüller space and curve. (Peer reviewed) 60 Years of Analytic Functions in Lublin, Proceedings of the Conference in memory of J.G. Krzyż, Z. Lewandowski and W. Szapiel, Innovatio Press, Lublin, 2012, pp 97 - 116. Erlend Grong, Irina Markina and Alexander Vasil’ev (arXiv:1202.6135).

Non-scientific publications

1. Dedication to Alexander Vasil'ev (1962–2016). Anal. Math. Phys. 8 (2018), no. 4, 485 - 491. Mauricio Godoy Molina, Erlend Grong and Pavel Gumenyuk.