January 5 - April 24, 2015
Description: The Junior Hausdorff Trimester Program gave young mathematicians (postdocs, junior faculty) the opportunity to carry out collaborative research on Optimal Transportation.
The main focus was on the following research topics:
- Global and local properties of metric measure spaces with synthetic Ricci curvature bounds
- Optimal transport and stochastic analysis
- Scale separation of gradient flows in continuous and discrete setting
Associated Events:
- Workshop: Analytic approaches to scaling limits for random system
- Workshop: Gradient flows and entropy methods
- Winter School & Workshop: New developments in Optimal Transport, Geometry and Analysis
- Conference: New Trends in Optimal Transport
- Workshop: Optimal transport and stochastics
© Wikimedia Commons
| No. | Author(s) | Title | Preprint | Publication |
| 2015a01 | Bandara, L.; Lakzian, S.; Munn, M. | Geometric singularities and a flow tangent to the Ricci flow | 1505.05035 | Ann. Sc. Norm. Super. Pisa Cl. Sci. XVII(2) (2017), 763-804. https://doi.org/10.2422/2036-2145.201506_010 |
| 2015a02 | Bandara, L. | Continuity of solutions to space-varying pointwise linear elliptic equations | 1505.06150 | Publ. Mat. 61(1) (2017), 239 – 258. https://doi.org/10.5565/PUBLMAT_61117_09 |
| 2015a03 | Erbar, M.; Fathi, M.; Laschos, V.; Schlichting, A. | Gradient flow structure for McKean-Vlasov equations on discrete spaces | 1601.08098 | Discrete and Continuous Dynamical Systems. 36(12) (2016), 6799-6833. https://doi.org/10.3934/dcds.2016096 |
| 2015a04 | Fathi, M.; Stoltz, G. | Improving dynamical properties of metropolized discretizations of overdamped Langevin dynamics | 1505.04905 | Numer. Math. 136 (2017), 545–602. https://doi.org/10.1007/s00211-016-0849-3 |
| 2015a05 | Fathi, M.; Simon, M. | The gradient flow approach to hydrodynamic limits for the simple exclusion process | 1507.06489 | From Particle Systems to Partial Differential Equations III. 162 https://doi.org/10.1007/978-3-319-32144-8_8 |
| 2015a06 | Fathi, M.; Shu, Y. | Curvature and transport inequalities for Markov chains in discrete spaces | 1509.07160 | Bernoulli. 24(1) (2018), 672 – 698. https://doi.org/10.3150/16-BEJ892 |
| 2015a07 | Cavalletti, F.; Mondino, A. | Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds | 1502.06465 | Invent. Math. 208 (2017), 803–849. https://doi.org/10.1007/s00222-016-0700-6 |
| 2015a08 | Cavalletti, F.; Mondino, A. | Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds | 1505.02061 | Geom. Topol. 21(1) (2017), 603 – 645. https://doi.org/10.2140/gt.2017.21.603 |
| 2015a09 | Ketterer, C. | On the geometry of metric measure spaces with variable curvature bounds | 1506.03279 | Geom Anal. 27 (2017), 1951–1994. https://doi.org/10.1007/s12220-016-9747-2 |
| 2015a10 | Duong, M. H.; Tugaut, J. | Stationary solutions of the Vlasov-Fokker-Planck equation: existence, characterization and phase-transition | 1505.01212 | Applied Mathematics Letters. 52 (2016), 38-45. https://doi.org/10.1016/j.aml.2015.08.003 |
| 2015a11 | Deng, Q.; Galaz-Garcia, F.; Guijarro, L.; Munn, M. | Three-dimensional Alexandrov spaces with positive or nonnegative Ricci curvature | 1602.07724 | Potential Anal. 48 (2018), 223–238. https://doi.org/10.1007/s11118-017-9633-y |
| 2015a12 | Jylhä, H.; Rajala, T. | L∞ estimates in optimal mass transportation | 1508.05205 | Journal of Functional Analysis. 270(11) (2016), 4297-4321. https://doi.org/10.1016/j.jfa.2015.12.019 |
| 2015a13 | Kitabeppu, Y.; Lakzian, S. | Characterization of low dimensional RCD*(K,N) spaces | 1505.00420 | Anal. Geom. Metr. Spaces. 4(1) (2016), 187–215. https://doi.org/10.1515/agms-2016-0007 |
| 2015a14 | Erbar, M.; Juillet, N. | Smoothing and non-smoothing via a flow tangent to the Ricci flow | 1603.00280 | Journal de Mathématiques Pures et Appliquées. 110 (2018), 123-154. https://doi.org/10.1016/j.matpur.2017.07.006 |
| 2015a15 | Schlichting, A. | Macroscopic limit of the Becker-Döring equation via gradient flows | 1607.08735 | ESAIM: COCV. 25(22) (2019). https://doi.org/10.1051/cocv/201801 |
| 2015a16 | Indrei, E. | A sharp lower bound on the polygonal isoperimetric deficit | 1502.05978 | Proc. Amer. Math. Soc. 144 (2016), 3115-3122. http://dx.doi.org/10.1090/proc/12947 |
| 2015a17 | Indrei, E.; Minne, A. | Nontransversal intersection of free and fixed boundaries for fully nonlinear elliptic operators in two dimensions | 1505.02303 | Analysis and PDE. 9(2) (2016), 487–502. http://dx.doi.org/10.2140/apde.2016.9.487 |
| 2015a18 | Acciaio, B.; Larsson, M. | Semi-static completeness and robust pricing by informed investors | 1510.01890 | Ann. Appl. Probab. 27(4) (2017), 2270 – 2304. https://doi.org/10.1214/16-AAP1259 |
| 2015a19 | Beiglböck, M.; Cox, A. M. G.; Huesmann, M. | Optimal transport and Skorokhod embedding | 1307.3656 | Invent. Math. 208 (2017), 327–400. https://doi.org/10.1007/s00222-016-0692-2 |
| 2015a20 | Beiglböck, M.; Huesmann, M.; Stebegg, F. | Root to Kellerer | 1507.07690 | Séminaire de Probabilités XLVIII. https://doi.org/10.1007/978-3-319-44465-9_1 |
| 2015a21 | Friz, P. K.; Prömel, D. J. | Rough path metrics on a Besov-Nikolskii type scale | 1609.03132 | Trans. Amer. Math. Soc. 370(12) (2018), 8521-8550. https://doi.org/10.1090/tran/7264 |
| 2015a22 | Łochowski, R. M.; Perkowski, N.; Prömel, D. J. | A superhedging approach to stochastic integration | 1609.02349 | Stochastic Processes and their Applications. 128(12) (2018), 4078-4103. https://doi.org/10.1016/j.spa.2018.01.009 |
| 2015a23 | Vovk, V. | Another example of duality between game-theoretic and measure-theoretic probability | 1608.02706 | |
| 2015a24 | Beiglböck, M.; Cox, A. M. G.; Huesmann, M.; Perkowski, N.; Prömel, D. J. | Pathwise super-replication via Vovk's outer measure | 1504.03644 | Finance Stoch. 21 (2017), 1141–1166. https://doi.org/10.1007/s00780-017-0338-2 |
| 2015a25 | Acciaio, B.; Cox, A. M.G.; Huesmann, M. | Model-independent pricing with insider information: a Skorokhod embedding approach | 1610.09124 | Advances in Applied Probability. 53(1) (2021), 30–56. https://doi.org/10.1017/apr.2020.50 |
| 2015a26 | Hall, C.; Hudson, T.; van Meurs, P. | Asymptotic analysis of boundary layers in a repulsive particle system | 1609.03236 | Acta Appl Math. 153 (2018), 1–54. https://doi.org/10.1007/s10440-017-0119-0 |
| 2015a27 | Amenta, A. | Interpolation and embeddings of weighted tent spaces | 1509.05699 | J Fourier Anal Appl. 24 (2018), 108–140. https://doi.org/10.1007/s00041-017-9521-2 |
| 2015a28 | Honda, S. | Elliptic PDEs on compact Ricci limit spaces and applications | 1410.3296 | Mem. Amer. Math. Soc. 253(1211) (2018), v+92. https://doi.org/10.1090/memo/1211 |
| 2015a29 | Erbar, M.; Fathi, M. | Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature | 1612.00514 | Journal of Functional Analysis. 274(11) (2018), 3056-3089. https://doi.org/10.1016/j.jfa.2018.03.011 |
| 2015a30 | Honda, S. | Spectral convergence under bounded Ricci curvature | 1510.05349 | Journal of Functional Analysis. 273(5) (2017), 1577-1662. https://doi.org/10.1016/j.jfa.2017.05.009 |
| 2015a31 | Mörters, P.; Redl, I. | Skorokhod embeddings for two-sided Markov chains | 1407.4734 | Probab. Theory Relat. Fields. 165 (2016), 483–508. https://doi.org/10.1007/s00440-015-0637-5 |
| 2015a32 | Beiglböck, M.; Cox, A. M. G.; Huesmann, M. | The geometry of multi-marginal Skorokhod embedding | 1705.09505 | Probab. Theory Relat. Fields. 176 (2020), 1045–1096. https://doi.org/10.1007/s00440-019-00935-z |
| Name | Affiliation |
| Beatrice Acciaio | London School of Economics and Political Science |
| Alex Amenta | Université Paris-Sud |
| Lashi Bandara | Chalmers University of Technology and University of Gothenburg |
| Mathias Beiglböck | University of Vienna |
| Fabio Cavalletti | University of Pavia |
| Alexander Cox | University of Bath |
| Qintao Deng | Central China Normal University |
| Manh Hong Duong | University of Warwick |
| Matthias Erbar | Universität Bonn |
| Max Fathi | Université Paris 6 |
| Peter Friz | TU Berlin |
| Fernando Galaz-Garcia | Karlsruher Institut für Technologie (KIT) |
| Paul Gassiat | Université Paris Dauphine |
| David Hartley | Instituto de Ciencias Matemáticas |
| Asma Hassannezhad | Max-Planck Institute for Mathematics |
| Shouhei Honda | Kyushu University |
| Martin Huesmann | Universität Bonn |
| Emanuel Indrei | Carnegie Mellon University |
| Heikki Jylhä | University of Jyväskylä |
| Martin Kell | Max-Planck-Institute for Mathematics in the Sciences |
| Christian Ketterer | Albert-Ludwigs-Universität Freiburg |
| Yu Kitabeppu | Kyoto University |
| Eva Kopfer | Universität Bonn |
| Kazumasa Kuwada | Tokyo Institute of Technology |
| Sigrid Källblad | Ecole Polytechnique Paris |
| Sajjad Lakzian | Universität Bonn |
| Vaios Laschos | Brown University |
| Stefano Lisini | Università degli Studi di Pavia |
| Zhen Liu | Fudan University |
| Jan Maas | IST Austria |
| Kanstantsin Matetski | University of Warwick |
| Andrea Mondino | ETH Zürich |
| Michael Munn | University of Missouri |
| Marcel Nutz | Columbia University |
| Harald Oberhauser | University of Oxford |
| Xuhui Peng | Hunan Normal University |
| Nicolas Perkowski | Université Paris Dauphine |
| David Prömel | Humboldt-Universität zu Berlin |
| André Schlichting | Universität Bonn |
| Upanshu Sharma | Technische Universiteit Eindhoven |
| Pietro Siorpaes | Universität Wien |
| Dejan Slepcev | Carnegie Mellon University |
| Vladimir Vovk | Royal Holloway, University of London |
The list above does not include people who only participated in workshops.
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