Prof. Dr. Maria Gordina

Profile

Academic positionFull Professor
Research fieldsStochastics, Probability Theory,Geometry, Topology,Analysis, Differential Equations
Keywordsstochastic analyses, infinite-dimensional analysis, probability

Current contact address

CountryUnited States of America
CityRochester
InstitutionUniversity of Rochester
InstituteDepartment of Mathematics

Host during sponsorship

Prof. Dr. Dr. Michael RöcknerFakultät für Mathematik, Universität Bielefeld, Bielefeld
Start of initial sponsorship01/07/2005

Programme(s)

2005Humboldt Research Fellowship Programme

Publications (partial selection)

2026Eldredge, Nathaniel and Gordina, Maria and Le Le Donne, Enrico and Li, Sean: Notions of null sets in infinite-dimensional {C}arnot groups. In: Math. Z., 312, 2026, Paper No. 72
2025Gordina, Maria and Cho, Gunhee: Diameter theorems on {K}\"{a}hler and quaternionic {K}\"{a}hler manifolds under a positive lower curvature bound. In: Differential Geom. Appl., 98, 2025, Paper No. 102218, 19
2025Baudoin, Fabrice and Gordina, Maria and Herzog, David P. and Kim, Jina and Melcher, Tai: Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise. In: J. Funct. Anal., 288, 2025, Paper No. 110814, 45
2025Gordina, Maria and Qian, Wei and Wang, Yilin: Infinitesimal conformal restriction and unitarizing measures for {V}irasoro algebra. In: J. Math. Pures Appl. (9), 195, 2025, Paper No. 103669, 24
2025De Vecchi, Francesco and Fresta, Luca and Gordina, Maria and Gubinelli, Massimiliano: Non-commutative {$L^p$} spaces and {G}rassmann stochastic analysis. In: Probab. Theory Related Fields, 192, 2025, 949--1029
2025Carfagnini, Marco and Gordina, Maria: Spectral gap bounds on {H}-type groups. New trends in sub-{R}iemannian geometry. Amer. Math. Soc., [Providence], RI, 2025. 59--71
2024Carfagnini, Marco and Gordina, Maria: Dirichlet {s}ub-{L}aplacians on {h}omogeneous {C}arnot {g}roups: {s}pectral {p}roperties, {a}symptotics, and {h}eat {c}ontent. In: Int. Math. Res. Not. IMRN, 2024, 1894--1930
2024Gao, Li and Gordina, Maria: Matrix-valued modified logarithmic {S}obolev inequality for sub-{L}aplacian on {$SU( 2 )$}. In: J. Funct. Anal., 287, 2024, Paper No. 110453
2024Baudoin, Fabrice and Gordina, Maria and Melcher, Tai: Quasi-invariance for infinite-dimensional {K}olmogorov diffusions. In: Potential Anal., 60, 2024, 807--831
2024Chae, Myeongju and Cho, Gunhee and Gordina, Maria and Yang, Guang: The stochastic {S}chwarz lemma on {K}\"{a}hler manifolds by couplings and its applications. In: J. Lond. Math. Soc. (2), 109, 2024, Paper No. e12849, 22
2024Gordina, Maria and Luo, Liangbing: {L}ogarithmic {S}obolev inequalities on homogeneous spaces. In: International Mathematics Research Notices, 2024, rnae205
2022Gordina, Maria and Luo, Liangbing: Logarithmic {S}obolev inequalities on non-isotropic {H}eisenberg groups. In: J. Funct. Anal., 283, 2022, Paper No. 109500
2022Carfagnini, Marco and Gordina, Maria: Small deviations and {C}hung's law of iterated logarithm for a hypoelliptic {B}rownian motion on the {H}eisenberg group. In: Trans. Amer. Math. Soc. Ser. B, 9, 2022, 322--342
2022Camrud, Evan and Herzog, David P. and Stoltz, Gabriel and Gordina, Maria: Weighted {$L^2$}-contractivity of {L}angevin dynamics with singular potentials. In: Nonlinearity, 35, 2022, 998--1035
2021Baudoin, Fabrice and Gordina, Maria and Herzog, David P.: Gamma {C}alculus {B}eyond {V}illani and {E}xplicit {C}onvergence {E}stimates for {L}angevin {D}ynamics with {S}ingular {P}otentials. In: Arch. Ration. Mech. Anal., 241, 2021, 765--804
2020Baudoin, Fabrice and Gordina, Maria and Mariano, Phanuel: Gradient bounds for Kolmogorov type diffusions. In: Ann. Inst. H. Poincaré Probab. Statist., 56, 2020, 612--636
2020Gordina, Maria and R\"{o}ckner, Michael and Teplyaev, Alexander: Ornstein-{U}hlenbeck processes with singular drifts: integral estimates and {G}irsanov densities. In: Probab. Theory Related Fields, 178, 2020, 861--891
2019Fabrice Baudoin and Qi Feng and Maria Gordina: Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds. In: Journal of Functional Analysis, 277, 2019, 1362 - 1422
2019Baudoin, Fabrice and Gordina, Maria and Mariano, Phanuel: On the {C}heng-{Y}au gradient estimate for {C}arnot groups and sub-{R}iemannian manifolds. In: Proc. Amer. Math. Soc., 147, 2019, 3181--3189
2018Sayan Banerjee and Maria Gordina and Phanuel Mariano: Coupling in the Heisenberg group and its applications to gradient estimates. In: Ann. Probab., 46, 2018, 3275-3312
2018Eldredge, Nathaniel and Gordina, Maria and Saloff-Coste, Laurent: Left-invariant geometries on {$\rm SU(2)$} are uniformly doubling. In: Geometric and Functional Analysis, 28, 2018, 1321--1367
2017Gordina, Maria and Laetsch, Thomas: A convergence to {B}rownian motion on sub-{R}iemannian manifolds. In: Trans. Amer. Math. Soc., 369, 2017, 6263--6278
2016Asaad, Malva and Gordina, Maria: Hypoelliptic heat kernels on nilpotent {L}ie groups. In: Potential Anal., 45, 2016, 355--386
2016Gordina, Maria and Laetsch, Thomas: Sub-{L}aplacians on {S}ub-{R}iemannian {M}anifolds. In: Potential Anal., 44, 2016, 811--837
2015Albeverio, S. and Driver, B. K. and Gordina, M. and Vershik, A. M.: Equivalence of the {B}rownian and energy representations. In: Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 441, 2015, 17--44
2014Gordina, Maria and Haga, John: {L}\'evy processes in a step 3 nilpotent {L}ie group. In: Potential Anal., 41, 2014, 367-382
2013Gordina, M. and Melcher, T.: A subelliptic {T}aylor isomorphism on infinite-dimensional {H}eisenberg groups. In: Probability Theory and Related Fields, 155, 2013, 379-426
2013Baudoin, Fabrice and Gordina, Maria and Melcher, Tai: Quasi-invariance for heat kernel measures on sub-{R}iemannian infinite-dimensional {H}eisenberg groups. In: Trans. Amer. Math. Soc., 365, 2013, 4313--4350
2012Bass, Richard F. and Gordina, Maria: Harnack inequalities in infinite dimensions. In: J. Funct. Anal., 263, 2012, 3707--3740
2011Gordina, Maria and Röckner, Michael and Wang, Feng-Yu: Dimension-independent {H}arnack inequalities for subordinated semigroups. In: Potential Anal., 34, 2011, 293--307
2010Driver, Bruce K. and Gordina, Maria: Square integrable holomorphic functions on infinite-dimensional {H}eisenberg type groups. In: Probability Theory and Related Fields, 147, 2010, 481--528
2009Driver, Bruce K. and Gordina, Maria: Integrated {H}arnack inequalities on {L}ie groups. In: J. Differential Geom., 83, 2009, 501--550
2008Cardetti, Fabiana and Gordina, Maria: A note on local controllability on {L}ie groups. In: Systems Control Lett., 57, 2008, 978--979
2008Gordina, Maria and Wu, Mang: Diffeomorphisms of the circle and {B}rownian motions on an infinite-dimensional symplectic group. In: Commun. Stoch. Anal., 2, 2008, 71--95
2008Driver, Bruce K. and Gordina, Maria: Heat kernel analysis on infinite-dimensional {H}eisenberg groups. In: J. Funct. Anal., 255, 2008, 2395--2461
2008Gordina, Maria: Riemannian geometry of {${\rm Diff}(S\sp 1)/S\sp 1$} revisited. Stochastic analysis in mathematical physics. World Sci. Publ., Hackensack, NJ, 2008. 19--29
2007Albeverio, Sergio and Gordina, Maria: L\'evy processes and their subordination in matrix {L}ie groups. In: Bull. Sci. Math., 131, 2007, 738--760
2006Athreya, Siva R. and Bass, Richard F. and Gordina, Maria and Perkins, Edwin A.: Infinite dimensional stochastic differential equations of {O}rnstein-{U}hlenbeck type. In: Stochastic Process. Appl., 116, 2006, 381--406
2006Gordina, M. and Lescot, P.: Riemannian geometry of {${\rm Diff}(S\sp 1)/S\sp 1$}. In: J. Funct. Anal., 239, 2006, 611--630
2005Gordina, Maria: Heat kernel analysis on infinite dimensional groups. Infinite dimensional harmonic analysis III. World Sci. Publ., Hackensack, NJ, 2005. 71--81
2005Gordina, Maria: {H}ilbert-{S}chmidt groups as infinite-dimensional {L}ie groups and their {R}iemannian geometry. In: J. Funct. Anal., 227, 2005, 245--272
2003Gordina, Maria: Quasi-invariance for the pinned {B}rownian motion on a {L}ie group. In: Stochastic Process. Appl., 104, 2003, 243--257
2003Gordina, Maria: Stochastic differential equations on noncommutative {$L\sp 2$}. Finite and infinite dimensional analysis in honor of Leonard Gross (New Orleans, LA, 2001). Providence, RI: Amer. Math. Soc., 2003. 87--98
2002Gordina, Maria: {T}aylor map on groups associated with a {${\rm II}_1$}-factor. In: Infin. Dimens. Anal. Quantum Probab. Relat. Top., 5, 2002, 93--111
2000Gordina, Maria: Heat kernel analysis and {C}ameron-{M}artin subgroup for infinite dimensional groups. In: J. Funct. Anal., 171, 2000, 192--232
2000Gordina, Maria: Holomorphic functions and the heat kernel measure on an infinite-dimensional complex orthogonal group. In: Potential Anal., 12, 2000, 325--357
1992Gordina, M. M.: The density of fractions in {$L\sp p$} for {$0