PUBLICATIONS AND PREPRINTS

• B. Driver, M. Gordina, "Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups",
  submitted. pdf
  

• B. Driver, M. Gordina, "Heat kernel analysis on infinite-dimensional Heisenberg groups",
  to appear in Journal of Functional Analysis. pdf
  

• F. Cardetti, M. Gordina, "A note on local controllability on Lie groups", 2008, to appear in Systems and Control Letters, 6 pp. pdf
  

• M. Gordina, M. Wu, "Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group" to appear in Communications on Stochastic Analysis. pdf
  

• B. Driver, M. Gordina, "Integrated Harnack inequalities on Lie groups",
  submitted. pdf
  

• 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
  

• S. Albeverio, M. Gordina, "Levy processes and their subordination in matrix Lie groups",
  Bulletin des Sciences Mathématiques, 131, 2007, pp. 738-760. pdf
  

• M. Gordina, P. Lescot, "Riemannian geometry of Diff(S^1)/S^1",
  Journal of Functional Analysis, 239, 2006, pp. 611-630. pdf
  

• S.R. Athreya, R.F. Bass, M. Gordina, and E.A. Perkins, "Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type",
  Stochastic Process. Appl. 116 (2006), no. 3, pp. 381-406. pdf
  

• M. Gordina, "Hilbert-Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry",
  Journal of Functional Analysis, 227 (2005), pp. 245-272. pdf
  

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

• 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., 317 (2003), Amer. Math. Soc., Providence, RI, pp.87-98. postscript pdf

• M. Gordina, "Quasi-invariance for the pinned Brownian motion on a Lie group",
  Stochastic Processes and their Applications, 104 (2003), no. 2, pp. 243-257. postscript pdf

• M. Gordina, "Taylor map on groups associated with a II₁-factor",
  Infinite Dimensional Analysis, Quantum Probability and Related Topics, 5 (2002), no. 1, pp. 93-111. postscript pdf

• M. Gordina, "Heat kernel analysis and Cameron-Martin subgroup for infinite dimensional groups"
  Journal of Functional Analysis, 171 (2000), no. 1, pp. 192-232. postscript pdf

• M. Gordina, "Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group"
  Potential Analysis, 12 (2000), Issue 4, pp. 325-357. postscript pdf

• M. Gordina, "The denseness of fractions in L_p for 0 < p < 1",
  Vestnik S-Peterburgskogo Universiteta, Matematika, 25 (1992), no. 4, 11-16; English translation: Vestnik, St. Petersburg University, Mathematics, vol. 25(4), 1992, pp. 11-16.

• "Noncommutative integration", notes.