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On the support of a hypoelliptic diffusion on the Heisenberg group.
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- ALEA. Latin American Journal of Probability & Mathematical Statistics, 2023, v. 20, n. 1, p. 697, doi. 10.30757/ALEA.v20-26
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GENERALIZED WEIGHTED SOBOLEV-MORREY ESTIMATES FOR HYPOELLIPTIC OPERATORS WITH DRIFT ON HOMOGENEOUS GROUPS.
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- Journal of Mathematical Inequalities, 2022, v. 16, n. 1, p. 219, doi. 10.7153/jmi-2022-16-17
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Eta invariants and the hypoelliptic Laplacian.
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- Journal of the European Mathematical Society (EMS Publishing), 2019, v. 21, n. 8, p. 2355, doi. 10.4171/JEMS/887
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Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients.
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- Journal of Homotopy & Related Structures, 2018, v. 13, n. 4, p. 927, doi. 10.1007/s40062-018-0205-7
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- Article
Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift.
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- Journal of Function Spaces, 2017, p. 1, doi. 10.1155/2017/2805457
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COMPARISON OF ITERATES OF A CLASS OF DIFFERENTIAL OPERATORS IN ROUMIEU SPACES.
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- Publications de l'Institut Mathématique, 2017, v. 101, n. 115, p. 261, doi. 10.2298/PIM1715261C
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Regularity theorems for a class of degenerate elliptic equations.
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- Electronic Journal of Qualitative Theory of Differential Equations, 2016, n. 1-122, p. 1, doi. 10.14232/ejqtde.2016.1.102
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- Article
Toeplitz Operators, Analytic Torsion, and the Hypoelliptic Laplacian.
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- Letters in Mathematical Physics, 2016, v. 106, n. 12, p. 1639, doi. 10.1007/s11005-016-0886-y
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- Article
Error Analysis of Modified Langevin Dynamics.
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- Journal of Statistical Physics, 2016, v. 164, n. 4, p. 735, doi. 10.1007/s10955-016-1544-6
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Coupling the Kolmogorov diffusion: maximality and efficiency considerations.
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- Advances in Applied Probability, 2016, v. 48, p. 15, doi. 10.1017/apr.2016.40
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- Article
Characteristic Laplacian in Sub-Riemannian Geometry.
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- IMRN: International Mathematics Research Notices, 2015, v. 2015, n. 24, p. 13290, doi. 10.1093/imrn/rnv104
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- Article
Variational Dirichlet problem for degenerate elliptic operators generated by noncoercive forms.
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- Doklady Mathematics, 2015, v. 91, n. 3, p. 255, doi. 10.1134/S1064562415030011
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- Article
Hypoellipticity for filtering problems of partially observable diffusion processes.
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- Probability Theory & Related Fields, 2015, v. 161, n. 3/4, p. 687, doi. 10.1007/s00440-014-0557-9
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- Article
The Malliavin calculus and hypoelliptic differential operators.
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- Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2015, v. 18, n. 1, p. -1, doi. 10.1142/S0219025715500010
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On the influence of second order uniformly elliptic operators in nonlinear problems.
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- Mathematische Nachrichten, 2015, v. 288, n. 2/3, p. 281, doi. 10.1002/mana.201300249
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- Article
Global hypoelliptic estimates for fractional order kinetic equation.
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- Mathematische Nachrichten, 2014, v. 287, n. 5/6, p. 610, doi. 10.1002/mana.201200002
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A Multiscale Enrichment Procedure for Nonlinear Monotone Operators.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2014, v. 48, n. 2, p. 475, doi. 10.1051/m2an/2013116
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Global L<sup> p</sup> estimates for degenerate Ornstein-Uhlenbeck operators with variable coefficients.
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- Mathematische Nachrichten, 2013, v. 286, n. 11/12, p. 1087, doi. 10.1002/mana.201200189
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Convolution Theorems for Quaternion Fourier Transform: Properties and Applications.
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- Abstract & Applied Analysis, 2013, p. 1, doi. 10.1155/2013/162769
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FRACTIONAL ORDER KINETIC EQUATIONS AND HYPOELLIPTICITY.
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- Analysis & Applications, 2012, v. 10, n. 3, p. 237, doi. 10.1142/S021953051250011X
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- Article
GLOBAL HÖLDER ESTIMATES FOR HYPOELLIPTIC OPERATORS WITH DRIFT ON HOMOGENEOUS GROUPS.
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- Miskolc Mathematical Notes, 2012, v. 13, n. 2, p. 337, doi. 10.18514/MMN.2012.458
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- Article
The principal eigencurves for a nonselfadjoint elliptic operator.
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- Turkish Journal of Mathematics, 2010, v. 34, n. 2, p. 197, doi. 10.3906/mat-0902-25
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SHORT-TIME ASYMPTOTICS OF HEAT KERNELS FOR A CLASS OF HYPOELLIPTIC OPERATORS.
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- American Journal of Mathematics, 2009, v. 131, n. 6, p. 1795, doi. 10.1353/ajm.0.0081
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TIME DELAY FOR DISPERSIVE SYSTEMS IN QUANTUM SCATTERING THEORY.
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- Reviews in Mathematical Physics, 2009, v. 21, n. 5, p. 675, doi. 10.1142/S0129055X09003700
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Equations with nonnegative characteristic form. II.
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- Journal of Mathematical Sciences, 2009, v. 158, n. 4, p. 453, doi. 10.1007/s10958-009-9395-1
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Parameter estimation for partially observed hypoelliptic diffusions.
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- Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2009, v. 71, n. 1, p. 49, doi. 10.1111/j.1467-9868.2008.00689.x
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Surjectivity of the Taylor map for complex nilpotent Lie groups.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2009, v. 146, n. 1, p. 177, doi. 10.1017/S0305004108001692
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Failure of hypoellipticity for the canonical solution to <img src="/fulltext-image.asp?format=htmlnonpaginated&src=023Q6857446655H3_html\209_2007_298_Article_IEq1.gif" border="0" alt="$${\bar\partial_b}$$" /> on some nilpotent Lie groups
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- Mathematische Zeitschrift, 2008, v. 260, n. 3, p. 699, doi. 10.1007/s00209-007-0298-x
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From Ballistic to Diffusive Behavior in Periodic Potentials.
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- Journal of Statistical Physics, 2008, v. 131, n. 1, p. 175, doi. 10.1007/s10955-008-9493-3
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A Priori Estimates Related to Differential Operators of Kuptsov–Hörmander Type.
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- Differential Equations, 2004, v. 40, n. 2, p. 256, doi. 10.1023/B:DIEQ.0000033714.36210.3a
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Spectral Properties of Hypoelliptic Operators.
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- Communications in Mathematical Physics, 2003, v. 235, n. 2, p. 233, doi. 10.1007/s00220-003-0805-9
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An index theorem for gauge-invariant families: The case of solvable groups.
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- Acta Mathematica Hungarica, 2003, v. 99, n. 1/2, p. 155, doi. 10.1023/A:1024517714643
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Hypoelliptic non-homogeneous diffusions.
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- Probability Theory & Related Fields, 2002, v. 123, n. 4, p. 453, doi. 10.1007/s004400100194
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