Prof. Dr. Maria Gordina

Profil

Derzeitige StellungProfessor W-3 und Äquivalente
FachgebietStochastik, Wahrscheinlichkeitstheorie,Geometrie, Topologie,Analysis, Differentialgleichungen
Keywordsstochastic analyses, infinite-dimensional analysis, probability

Aktuelle Kontaktadresse

LandUSA
OrtRochester
Universität/InstitutionUniversity of Rochester
Institut/AbteilungDepartment of Mathematics

Gastgeber*innen während der Förderung

Prof. Dr. Dr. Michael RöcknerFakultät für Mathematik, Universität Bielefeld, Bielefeld
Beginn der ersten Förderung01.07.2005

Programm(e)

2005Humboldt-Forschungsstipendien-Programm

Publikationen (Auswahl)

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