PUBLICATIONS AND PREPRINTS    Masha Gordina's arxiv papers

  1. M. Gordina, L. Luo, Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups, 23 pp., arxiv

  2. M. Gordina, R. Sarkar, Spectral theory for L´evy and L´evy-Ornstein-Uhlenbeck semigroups on step 2 Carnot groups, 51 pp., arxiv

  3. M. Albert, S. Borza, M. Gordina, Geodesics on Grushin spaces, 42 pp., arxiv

  4. N. Eldredge, M. Gordina, L. Saloff-Coste, Uniform doubling for abelian products with SU(2), 35 pp, arxiv

  5. G. Antonelli, M. Gordina, M. Calzi, Sharp defective log-Sobolev inequalities on H-type groups, 20 pp, arxiv

  6. M. Carfagnini, M. Gordina, A. Teplyaev, Dirichlet metric measure spaces: spectrum, irreducibility, and small deviations, 49 pp., arxiv

  7. M. Gordina, J. Wang, Rigidity of the subelliptic heat kernel on SU(2), 31 pp., arxiv

  8. F. Baudoin, M. Gordina, R. Sarkar, Dimension-independent functional inequalities by tensorization and projection arguments, 28 pp., arxiv

  9. N. Eldredge, M. Gordina, E. Le Donne, S. Li, Notions of null sets in infinite-dimensional Carnot groups, 37 pp., arxiv

  10. M. Carfagnini, M. Gordina, On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group, 24 pp., arxiv

  11. M. Gordina, T. Melcher, D. Mikulincer, J. Wang, Large deviations principle for sub-Riemannian random walks, 50 pp., to appear in the Annales de l’Institut Henri Poincaré-Probabilités et Statistiques arxiv

  12. F. C. De Vecchi, L. Fresta, M. Gordina, M. Gubinelli, Non-commutative Lp spaces and Grassmann stochastic analysis, 59 pp., Probab. Theory Relat. Fields, 2025, arxiv

  13. M. Gordina, W. Qian, Y. Wang, Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra, 24 pp.,
    Journal de Mathématiques Pures et Appliquées, 2025, arxiv

  14. F. Baudoin, M. Gordina, D. Herzog, J. Kim, T. Melcher, Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise, 35 pp.,
    Journal of Functional Analysis, 2025, arxiv

  15. G. Cho, M. Gordina, Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound, 23 pp.,
    Differential Geometry and its Applications, 2025, arxiv

  16. M. Carfagnini, M. Gordina, Spectral gap bounds on H-type groups, 14 pp.,
    AMS Contemporary Mathematics, 2025, arxiv

  17. M. Gordina, L. Luo Logarithmic Sobolev inequalities on homogeneous spaces, 39 pp.,
    IMRN, 2024, arxiv

  18. L. Gao, M. Gordina, Complete modified logarithmic Sobolev inequality for sub-Laplacian on SU(2), 23 pp.,
    Journal of Functional Analysis, 2024, arxiv

  19. M. Chae, G. Cho, M. Gordina, G. Yang, The stochastic Schwarz lemma on Kähler manifolds by couplings and its applications, 21 pp.,
    Journal of the London Mathematical Society, 2024, arxiv

  20. M. Carfagnini, M. Gordina, Dirichlet sub-Laplacians on homogeneous Carnot groups: spectral properties, asymptotics, and heat content, 30 pp.,
    IMRN, 2023, arxiv

  21. F. Baudoin, M. Gordina, T. Melcher, Quasi-invariance for infinite-dimensional Kolmogorov diffusions, 27 pp.,
    Potential Analysis, 2023, arxiv

  22. E.Camrud, M. Gordina, D. Herzog, G. Stoltz, Weighted L2 -contractivity of Langevin dynamics with singular potentials, 33 pp.,
    Nonlinearity, 2022, arxiv

  23. M. Gordina, L. Luo, Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups, 30 pp.,
    Journal of Functional Analysis, 2022, pdf, arxiv

  24. M. Carfagnini, M. Gordina, Small deviations and Chung's law of iterated logarithm for a hypoelliptic Brownian motion on the Heisenberg group, 24 pp.,
    Transactions of the AMS, 2022, pdf, arxiv

  25. F. Baudoin, M. Gordina, D. Herzog, Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials, 40 pp.,
    Arch. Ration. Mech. Anal. , 2021, pdf, arxiv

  26. M. Gordina, M. Röckner, A. Teplyaev, Singular perturbations of Ornstein-Uhlenbeck processes: integral estimates and Girsanov densities, 24 pp.,
    Probability Theory and Related Fields , 2020, arxiv

  27. F. Baudoin, M. Gordina, Q. Feng, Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds, 60 pp.,
    Journal of Functional Analysis , 2019, 277, pp. 1362 - 1422, pdf, arxiv

  28. F. Baudoin, M. Gordina, Ph. Mariano, On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds, 9 pp.,
    Proc. Amer. Math. Soc. , 2019, 147, pp. 3181--3189, pdf, arxiv

  29. F. Baudoin, M. Gordina, Ph. Mariano, Gradient bounds for Kolmogorov type diffusions, 25 pp.,
    Ann. Inst. H. Poincaré Probab. Statist. , 2020, 56, pp. 612-636, pdf, arxiv

  30. N. Eldredge, M. Gordina, L. Saloff-Coste, Left-invariant geometries on SU(2) are uniformly doubling,
    Geometric and Functional Analysis (GAFA), 2018, 28, pp. 1321--1367, pdf, arxiv

  31. S. Banerjee, M. Gordina, P. Mariano, Coupling in the Heisenberg group and its applications to gradient estimates,
    Annals of Probability , 2018, 46, pp. 3275-3312, pdf, arxiv

  32. M. Gordina, T. Laetsch, A convergence to Brownian motion on sub-Riemannian manifolds,
    Trans. Amer. Math. Soc. , 2017, 369, pp. 6263-6278, pdf, arxiv.

  33. M. Gordina, An application of a functional inequality to quasi-invariance in infinite dimensions,
    the IMA Volumes in Mathematics and its Applications book series Convexity and Concentration , 2017, v. 161, pp. 251-266, pdf, arxiv

  34. M. Asaad, M. Gordina, Hypoelliptic heat kernels on nilpotent Lie groups,
    Potential analysis , 2016, pp. 355--386, pdf, arxiv

  35. M. Gordina, T. Laetsch, Sub-Laplacians on sub-Riemannian manifolds,
    Potential analysis , 2016, pp. 811-837, pdf, arxiv.

  36. S. Albeverio, Bruce K. Driver, M. Gordina, and A. M. Vershik, Equivalence of the Brownian and energy representations,
    Zapiski Seminarov POMI in memory of M. I. Gordin, 2015, pp. 17--44, pdf, arxiv

  37. M. Gordina, J. Haga, Lévy processes in a step 3 nilpotent Lie group,
    Potential Analysis, 2014, pp. 367-382, pdf, arxiv

  38. F. Baudoin, M. Gordina, T. Melcher, Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups,
    Trans. Amer. Math. Soc., 2013, pp. 4313-4350, pdf, arxiv

  39. M. Gordina, T. Melcher, A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups,
    Probability Theory and Related Fields , 2013, pp. 379-426, pdf, arxiv, PTRF online

  40. R. Bass, M. Gordina, Harnack inequalities in infinite dimensions,
    Journal of Functional Analysis, 2012, pp. 3707-3740, pdf, arxiv

  41. M. Gordina, M. Röckner, F.-Y. Wang, Dimension-independent Harnack inequalities for subordinated semigroups,
    Potential Analysis, 2011, pp. 293-307, pdf, arxiv

  42. B. Driver, M. Gordina, Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups,
    Probability Theory and Related Fields, 2010, pp. 481-528, pdf, arxiv

  43. B. Driver, M. Gordina, Integrated Harnack inequalities on Lie groups,
    Journal of Differential Geometry, 2009, pp.501-550, pdf, arxiv

  44. B. Driver, M. Gordina, Heat kernel analysis on infinite-dimensional Heisenberg groups,
    Journal of Functional Analysis, 2008, pp.2395-2461. pdf, arxiv

  45. F. Cardetti, M. Gordina, A note on local controllability on Lie groups,
    Systems and Control Letters, 2008. pdf

  46. M. Gordina, M. Wu, Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group,
    Communications on Stochastic Analysis, 2008, pp.71--95. pdf, arxiv

  47. M. Gordina, Riemannian geometry of Diff(S^1)/S^1 revisited,
    Stochastic Analysis in Physics, Proceedings of a Satellite Conference of ICM 2006 Lisbon, Portugal 4-8 September 2006 (edited by Gerard Ben Arous, Ana Bela Cruzeiro, Yves Le Jan \& Jean-Claude Zambrini), pp. 19-30. pdf

  48. S. Albeverio, M. Gordina, Lévy processes and their subordination in matrix Lie groups,
    Bulletin des Sciences Mathématiques, 2007, pp. 738-760. pdf

  49. M. Gordina, P. Lescot, Riemannian geometry of Diff(S^1)/S^1,
    Journal of Functional Analysis, 2006, pp. 611-630. pdf, arxiv

  50. S.R. Athreya, R.F. Bass, M. Gordina, and E.A. Perkins, Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type,
    Stochastic Process. Appl., 2006, pp. 381-406. pdf, arxiv

  51. M. Gordina, Hilbert-Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry,
    Journal of Functional Analysis, 2005, pp. 245-272. pdf, arxiv

  52. M. Gordina, Heat kernel analysis on infinite-dimensional groups,
    Infinite dimensional harmonic analysis III, World Scientific Publishing Co., 2005, pp. 71-81. pdf

  53. M. Gordina, Stochastic differential equations on noncommutative L2,
    Finite and infinite dimensional analysis in honor of Leonard Gross, edited by H-H. Kuo and A.N. Sengupta, Contemp. Math., 2003, Amer. Math. Soc., Providence, RI, pp.87-98. pdf

  54. M. Gordina, Quasi-invariance for the pinned Brownian motion on a Lie group,
    Stochastic Processes and their Applications, 2003, pp. 243-257. pdf

  55. M. Gordina, Taylor map on groups associated with a II1-factor,
    Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2002, pp. 93-111. pdf

  56. M. Gordina, Heat kernel analysis and Cameron-Martin subgroup for infinite dimensional groups,
    Journal of Functional Analysis, 2000, pp. 192-232. pdf

  57. M. Gordina, Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group,
    Potential Analysis, 2000, pp. 325-357. pdf

  58. M. Gordina, The denseness of fractions in Lp   for 0 < p < 1,
    Vestnik S-Peterburgskogo Universiteta, Matematika, 1992, pp. 11-16; English translation: Vestnik, St. Petersburg University, Mathematics, 1992, pp. 11-16.

  59. Noncommutative integration, notes.