Full Professor, St. Petersburg Branch of the Steklov Research Institute of Mathematics of the Russian Academy of Sciences

Email: stepanov.eugene AT gmail.com

Available papers (55):

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• M. Novaga - E. Paolini - E. Stepanov (Submitted Paper)
  On the total surface area of potato packings (2024)
• T. Ma - E. Stepanov (Preprint)
  On eigenvalues and eigenfunctions of the operators defining multidimensional scaling on some symmetric spaces (2024)
• P. Barrios - S. Mayorga - E. Stepanov (Preprint)
  On a discrete max-plus transportation problem (2024)
• E. Paolini - E. Stepanov (Preprint)
  On the Steiner tree connecting a fractal set (2023)
• M. Izydorek - J. Janczewska - S. Kryzhevich - E. Stepanov (Preprint)
  Constructive nonholonomic controllability of control affine systems on compact manifolds (2023)
• M. Novaga - E. Paolini - E. Stepanov - V. M. Tortorelli (Networks and Heterogeneous Media)
  Isoperimetric planar clusters with infinitely many regions (2023)
• T. Guo - N. Karagodin - E. Stepanov (Preprint)
  Optimal functional product quantization (2023)
• G. Alberti - A. Massaccesi - E. Stepanov (J. Diff. Geom.)
  On the geometric structure of currents tangent to smooth distributions (2022)
• M. Novaga - E. Paolini - E. Stepanov - V. M. Tortorelli (J. Geom. Anal.)
  Isoperimetric clusters in homogeneous spaces via concentration compactness (2022)
• A. Kroshnin - E. Stepanov - D. Trevisan (ESAIM: COCV)
  Infinite multidimensional scaling for metric measure spaces (2022)
• E. Stepanov - D. Trevisan (J. Differential Equations)
  On exterior differential systems involving differentials of Hölder functions (2022)
• S. Kryzhevich - E. Stepanov (Tchemisova, T.V., Torres, D.F.M., Plakhov, A.Y. (eds) Dynamic Control and Optimization. DCO 2021. Springer Proceedings in Mathematics & Statistics)
  Constructive controllability for incompressible vector fields (2021)
• C. Rigoni - E. Stepanov - D. Trevisan (J. London Math. Soc.)
  Lie brackets of nonsmooth vector fields and commutation of their flows (2020)
• E. Stepanov - D. Trevisan (J. Geom. Anal.)
  Towards geometric integration of rough differential forms (2020)
• N. Puchkin - V. Spokoiny - E. Stepanov - D. Trevisan (Accepted Paper: ESAIM: COCV)
  Reconstruction of manifold embeddings into Euclidean spaces via intrinsic distances (2020)
• S. Kryzhevich - E. Stepanov (J. Differential Equations)
  The saga of a fish: from a survival guide to closing lemmas (2019)
• G. Alberti - E. Stepanov - D. Trevisan (Accepted Paper: J. Funct. Anal.)
  Integration of nonsmooth $\boldsymbol{2}$-forms: from Young to Itô and Stratonovich (2019)
• E. Paolini - E. Stepanov (Proc. Royal Soc. Edinburgh Ser. A - Mathematics)
  Flows of measures generated by vector fields (2018)
• V. Magnani - E. Stepanov - D. Trevisan (J. Lond. Math. Soc.)
  A rough calculus approach to level sets in the Heisenberg group (2018)
• A. Ponosov - E. Stepanov (SIAM J. Control and Optimization)
  Smooth dynamics becomes hybrid in the limit (2017)
• E. Stepanov - D. Trevisan (J. Funct. Anal.)
  Three superposition principles: currents, continuity equations and curves of measures (2017)
• A. Chambolle - J. Lamboley - A. Lemenant - E. Stepanov (SIAM J. Math. Anal.)
  Regularity for the optimal compliance problem with length penalization (2017)
• E. Stepanov - Y. Teplitskaya (J. London Math. Soc.)
  Self-contracted curves have finite length (2017)
• E. Paolini - E. Stepanov - Y. Teplitskaya (Adv. Calc. Var.)
  An example of an infinite Steiner tree connecting an uncountable set (2015)
• A. Ponosov - E. Stepanov (St. Petersburg Math. J)
  Atomic operators, random dynamical systems and invariant measures (2014)
• V. Georgiev - E. Stepanov (Discrete Contin. Dyn. Syst.)
  Metric cycles, curves and solenoids (2014)
• M. Novaga - A. Sobolevski - E. Stepanov (Pacific J. Math.)
  Droplet condensation and isoperimetric towers (2013)
• G. Buttazzo - F. Santambrogio - E. Stepanov (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
  Asymptotic optimal location of facilities in a competition between population and industries (2013)
• E. Paolini - E. Stepanov (J. Funct. Anal.)
  Structure of metric cycles and normal one-dimensional currents (2013)
• E. Paolini - E. Stepanov (J. Funct. Anal.)
  Decomposition of acyclic normal currents in a metric space (2012)
• E. Paolini - E. Stepanov (Calc. Var. Partial Diff. Equations)
  Existence and regularity results for the Steiner problem (2012)
• E. Stepanov (J. Math. Sciences (N.Y.))
  Rectifiability of metric flat chains and fractional masses (2010)
• G. Buttazzo - E. Mainini - E. Stepanov (Control Cybernet.)
  Stationary configurations for the average distance functional and related problems (2009)
• E. Paolini - E. Stepanov (J. Math. Sciences (N.Y.))
  Connecting measures by means of branched transportation networks at finite cost (2009)
• G. Buttazzo - A. Pratelli - S. Solimini - E. Stepanov (Springer Lecture Notes in Mathematics)
  Optimal urban networks via mass transportation (2009)
• A. Brancolini - G. Buttazzo - F. Santambrogio - E. Stepanov (ESAIM Control Optim. Calc. Var.)
  Long-term planning versus short-term planning in the asymptotical location problem (2009)
• G. Buttazzo - A. Pratelli - E. Stepanov (SIAM J. Opt)
  Optimal pricing policies for public transportation networks (2006)
• E. Stepanov (J. Math. Sci. (N.Y.))
  Partial geometric regularity of some optimal connected transportation networks (2006)
• M. Drakhlin - E. Litsyn - A. Ponosov - E. Stepanov (J. Nonlinear & Convex Anal.)
  Generalizing the property of locality: atomic/coatomic operators and applications (2006)
• M. Miranda Jr - E. Paolini - E. Stepanov (Calc. Var. Partial Diff. Equations)
  On one-dimensional continua uniformly approximating planar sets (2006)
• E. Paolini - E. Stepanov (Interfaces and Free Boundaries)
  Optimal transportation networks as flat chains (2006)
• G. Buttazzo - E. Stepanov (Discrete Contin. Dyn. Syst. )
  Transport density in Monge-Kantorovich problems with Dirichlet conditions (2005)
• G. Buttazzo - E. Stepanov (Calculus of Variations: Topics from the Mathematical Heritage of Ennio De Giorgi, D. Pallara (ed.), Quaderni di Matematica, Seconda Universit\`{a} di Napoli, Caserta)
  Minimization problems for average distance functionals (2004)
• E. Paolini - E. Stepanov (J. Math. Sciences (N.Y.))
  Qualitative properties of maximum distance minimizers and average distance minimizers in $\mathbf R^n$ (2004)
• A. Ponosov - E. Stepanov (International conference on fixed point theory and its applications (Valencia, 2003), G.G. Falset, E.L Fuster, B. Sims (ed.), Yokohama publishers, Yokohama )
  Invariant measures for generalized random dynamical systems (2004)
• E. Stepanov (Proc. Edunburgh Math. Soc.)
  Representation of atomic operators and extension problems (2004)
• G. Buttazzo - E. Stepanov (Ann. Sc. Norm. Sup. Pisa Cl. Sci.)
  Optimal transportation networks as free Dirichlet regions for the Monge-Kantorovich problem (2003)
• G. Buttazzo - E. Stepanov (SIAM J. Control Optim.)
  On regularity of transport density in the Monge-Kantorovich problem (2003)
• E. Stepanov (J. Nonlinear and Convex Anal.)
  Relaxation of optimal control problems with shifted controls (2002)
• G. Buttazzo - E. Oudet - E. Stepanov (Progress in Nonlinear Diff. Equations and their Applications)
  Optimal transportation problems with free Dirichlet regions (2002)
• E. Stepanov (Proc. Amer. Math. Soc.)
  Relaxation and convexity of functionals with pointwise nonlocality (2002)
• E. Stepanov - P. Tilli (Proc. Royal Soc. Edinburgh - Ser. A. (Mathematics))
  On the Dirichlet problem with several volume constraints on the level sets (2002)
• M. Drakhlin - A. Ponosov - E. Stepanov (Proc. Edinburgh Math. Soc.)
  On some classes of operators determined by the structure of their memory (2002)
• E. Stepanov - A. Zdorovtsev (J. Convex Anal.)
  Relaxation of some nonlocal integral functionals in weak topology of Lebesgue spaces (2001)
• L. De Pascale - E. Stepanov (Trans. Amer. Math. Soc.)
  Weak and strong density of compositions (2000)

Seminars:

• 22 apr 2020: Nonwandering points of continuous dynamical systems and constructive controllability
• 25 oct 2017: The saga of a fish: from a survival guide to closing lemmas for dynamical systems
• 10 dec 2014: Properties of the free boundary in the optimal compliance problem
• 23 oct 2013: Flows generated by measurable vector fields
• 12 dec 2012: Vector fields, currents and rectifiable curves in metric spaces
• 7 dec 2011: Schwartzman's solenoids and Ambrosio-Kirchheim currents
• 1 dec 2010: One-dimensional currents and curves
• 3 dec 2008: Regularity for the "antique" Steiner problem
• 28 nov 2007: Transportation of measures through branched networks at finite cost
• 15 feb 2001: Local operators and the problem of J. von Neumann on $\sigma$-homomorphisms

Speaker:

• 6 sep 2022 - 7 sep 2022: Optimal Transport and Uncertanity - second edition
• 26 nov 2021 - 26 nov 2021: Optimal transport and uncertanity
• 30 aug 2021 - 3 sep 2021: Geometric Measure Theory and applications
• 27 oct 2014 - 31 oct 2014: ERC Workshop on Optimal Transportation and Applications

Organizer:

• 20 jun 2022 - 24 jun 2022: Isoperimetric Problems
• 14 sep 2020 - 17 sep 2020: Geometric Measure Theory and Geometric Analysis in Moscow
• 23 sep 2019 - 27 sep 2019: Workshop "Recent advances in mass transportation"
• 14 may 2018 - 18 may 2018: Mini-colloquium «Rough differential calculus and weak geometric structures»