PUBLICATIONS AND PREPRINTS    Masha Gordina's arxiv papers

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

  2. M. Gordina, W. Qian, Y. Wang, Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra, 24 pp., arxiv

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

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

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

  6. F. C. De Vecchi, L. Fresta, M. Gordina, M. Gubinelli, Non-commutative Lp spaces and Grassmann stochastic analysis, 59 pp., arxiv

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

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

  9. M. Gordina, T. Melcher, D. Mikulincer, J. Wang, Large deviations principle for sub-Riemannian random walks, 50 pp., arxiv

  10. G. Cho, M. Gordina, Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound, 23 pp., arxiv

  11. M. Carfagnini, M. Gordina, Spectral gap bounds on H-type groups, 14 pp., to appear in the AMS Contemporary Mathematics, arxiv

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

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

  14. 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

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

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

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

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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

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

  28. 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

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

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

  31. 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

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

  33. 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

  34. 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

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

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

  37. 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

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

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

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

  41. 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

  42. 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

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

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

  45. 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

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

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

  48. 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

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

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

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

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

  53. 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.

  54. Noncommutative integration, notes.