GSC 14: Berlin Mathematical School (BMS)
Final Report Abstract
The Berlin Mathematical School (BMS) is the joint graduate school of the mathematics departments at the three major Berlin universities. Funded by the Excellence Initiative from November 2006 until the end of 2018, the BMS started in full swing in fall 2006, and quickly implemented the complete agenda of the 2006 proposal: It established a new course program, coordinated across the three universities and taught in English; it started active advertising, targeting top students and especially excellent female students; it built up a diverse, international body of students to whom it offers active mentoring, supervision, and support by the BMS One-Stop Office; and it set up lounges and office space at all three universities. During the second funding period starting in 2012, the BMS added new components and strategies, including a postdoctoral program. These additions supported the BMS objective of being a permanent framework for excellence in mathematics graduate studies, benefiting the whole of Berlin mathematics, and competing worldwide for the best students. The BMS was established as a permanent institution that has grown into its full format with over 170 students. The graduate program consists of a course phase (Phase I, three to four semesters) leading from the bachelor’s level to a master’s degree, and a thesis phase (Phase II, four to six semesters) leading to a doctoral degree at one of the universities. Over 300 students have now completed doctorates within the program with excellent results and gone on to successful careers in academia or industry. The students have shown great initiative in organizing additional activities and building a sense of belonging to the “BMS Family”. The success of the BMS is based on four key elements: The structured graduate program including the course program taught in English by BMS faculty members, the BMS Friday Colloquia, and soft-skills seminars. The full integration of BMS students into Berlin’s active research environment in pure and applied mathematics, including RTGs, IMPRSs, CRCs, and other research projects. This integration was aided by the BMS postdoctoral program. The professional management, which coordinates all aspects of the BMS – including recruiting and mentoring of students – and runs the BMS One-Stop Office. The effective quality control over all aspects of the BMS: advertising and admissions, the study program, student performance, teaching, and the mentoring program. Through these the BMS has had significant structural impact on its host universities. Because of its success, the BMS became an integral part of the application for the Cluster of Excellence MATH+. With the success of MATH+ in the Excellence Strategy, the BMS will be augmented as the MATH+ graduate school and can continue to act as a role model for excellent graduate education.
Link to the final report
https://doi.org/10.2314/KXP:1699089108
Publications
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Understanding the geometry of transport: Diffusion maps for Lagrangian trajectory data unravel coherent sets. Chaos, 272016
Banisch, Ralf, Koltai, Péter
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Cohomological arithmetic Chow rings. Journal of the Institute of Mathematics of Jussieu, 6:1–172, 2007
Burgos Gil, J I, Kramer, Jürg, Kühn, Ulf
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Discrete Differential Geometry, Vol. 38 of Oberwolfach Seminars. Birkhäuser, Basel, 2008
Bobenko, Alexander I, Schröder, Peter, Sullivan, John M, and Ziegler, Günter M, editors
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Large deviations and a Kramers’ type law for self-stabilizing diffusions. Ann. Appl. Probab., 18(4):1379–1423, 2008
Herrmann, Samuel, Imkeller, Peter and Peithmann, Dierk
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Multigrid methods for discrete elliptic problems on triangular surfaces. in: Comp. Visual. Sci., 11:251–257, 2008
Kornhuber, Ralf and Yserentant, Harry
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Γ-limits and relaxations for rate-independent evolutionary problems. Calc. Var. Part. Diff. Eqns., 31:387–416, 2008
Mielke, Alexander, Roubíćek, Tomáš and Stefanelli, Ulisse
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Bounds on Faltings’s delta function through covers. Ann. of Math. (2), 170(1):1–43, 2009
Jorgenson, Jay and Kramer, Jürg
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Bounds on Faltings’s delta function through covers. Annals of MathematicsSecond Series, 170:1–43, 2009
Jorgenson, Jay, Kramer, Jürg
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Constructing the equilibrium ensemble of folding pathways from short off-equilibrium simulations. Proc. Natl. Acad. Sci. USA, 106(45):19011–19016, 2009
Noé, Frank, Schütte, Christof, Vanden-Eijnden, Eric, Reich, Lothar, and Weikl, Thomas R
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Proofs from THE BOOK. Springer-Verlag, 2009; fourth edition; German translation 2009 by the authors; also published in 12 other languages
Aigner, Martin and Ziegler, Günter M
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The signature operator on manifolds with a conical singular stratum. Astérisque – Societé Mathematique de France, 328:1–44, 2009
Brüning, Jochen
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2] Ankirchner, Stefan, Imkeller, Peter, and Reis, Gonçalo, Pricing and hedging of derivatives based on non-tradable underlyings. Mathematical Finance, 20(2):289–312, 2010
Ankirchner, Stefan, Imkeller, Peter, and Reis, Gonçalo
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Densities for rough differential equations under Hörmander’s condition. Ann. of Math. (2), 171(3):2115–2141, 2010
Cass, Thomas and Friz, Peter
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Multidimensional stochastic processes as rough paths, Cambridge Studies in Advanced Mathematics, Vol 120. Cambridge University Press, Cambridge, 2010
Friz, Peter K and Victoir, Nicolas B
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On the spectral expansion of hyperbolic Eisenstein series. Math. Ann., 346:931–947, 2010
Jorgenson, Jay, Kramer, Jürg, von Pippich, Anna-Maria
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The Kodaira dimension of the moduli space of Prym varieties. J. of the European Mathematical Society (JEMS), 12:755–795, 2010
Farkas, Gavril and Ludwig, Katharina
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Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations. Numerical Linear Algebra with Applica-ons, 18:387–409, 2011
Mehrmann, Volker, Miedlar, Agnieszka
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Optimal bounds for a colorful Tverberg–Vrećica type problem. Advances in Math., 226:5198–5215, 2011
Blagojević, Pavle V M, Matschke, Benjamin, and Ziegler, Günter M
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Zonotopal algebra. Adv. Math., 227(2):847–894, 2011
Holtz, Olga and Ron, Amos
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Curvature line parametrized surfaces and orthogonal coordinate systems: Discretization with Dupin cyclides. Geometria Dedicata, 159:207–237, 2012
Bobenko, Alexander I., Huhnen-Venedey, Emanuel
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Index theorems on manifolds with straight ends. Comp. Math., 148:1897–1968, 2012
Brüning, Jochen, Carron, Gilles, Ballmann, Werner
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Discrete reliability for Crouzeix– Raviart FEMs. SIAM J. Numer. Anal., 51:2935–2955, 2013
Carstensen, Carsten, Gallistl, Dietmar, Schedensack, Mira
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On the gluing formula for the analytic torsion. Math. Zeitschrift, 273:1085–1117, 2013
Brüning, Jochen, Ma, Xiaonan
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A remark on newest vertex bisection in any space dimension. Computational Methods in Applied Mathematics, 14:317–320, 2014
Gallistl, Dietmar, Schedensack, Mira, Stevenson, Rob P.
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An adaptive finite element method with asymptotic saturation for eigenvalue problems. Numerische Mathematik, 128:615–634, 2014
Carstensen, Carsten, Gedicke, J, Mehrmann, Volker, Miedlar, Agnieszka
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Characterization of rare events in molecular dynamics. Entropy, 16:350–376, 2014
Badowski, Tomasz, Banisch, Ralf, Hartmann, Carsten, Sarich, Marco
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Fp is locally like C. Journal of the London Mathematical Society, 89:724–744, 2014
Grosu, Codrut
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Low-order dPG-FEM for an elliptic PDE. Comp. Math. Appl., 68:1503–1512, 2014
Carstensen, Carsten, Gallistl, Dietmar, Hellwig, Friederike, Weggler, Lucy
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Tverberg plus constraints. Bull. Lond. Math. Soc., 46:953–967, 2014
Blagojević, Pavle V M, Frick, Florian, Ziegler, Günter M
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Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Networks Heterg. Materials, 9:353–382, 2014
Mielke, Alexander, Reichelt, S, Thomas, Marita
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What is Ramseyequivalent to a clique? Journal of Combinatorial Theory, Series B:120–133, 2014
Fox, Jacob, Grinshpun, Andrey, Liebenau, Anita, Person, Yury
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Adaptive nonconforming Crouzeix–Raviart FEM for eigenvalue problems. Mathematics of Computation, 84:1061– 1087, 2015
Carstensen, Carsten, Gallistl, Dietmar, Schedensack, Mira
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Approximate k-flat nearest neighbor search. Proceedings of the 47th Annual Symposium on the Theory of Computing (STOC):783–792, 2015
Mulzer, Wolfgang, Nguyên, Huy L, Seiferth, Paul, Stein, Yannik
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Bounds for Green’s functions on hyperbolic Riemann surfaces of finite volume. Mathematische Zeitschrift, 2802014
Aryasomayajula, Anilatmaja
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Comparison results for the Stokes equations. Applied Numerical Mathematics, 95:118–129, 2015
Carstensen, Carsten, Köhler, Karoline, Peterseim, Daniel, Schedensack, Mira
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Genetic variability under the seed bank coalescent. Genetics 200:921–934, 2015
Blath, Jochen, Eldon, Bjarki, González Casanova Sobéron, Adrián, Kurt, Noemi
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Medius analysis and comparison results for firstorder finite element methods in linear elasticity. IMA Journal of Numerical Analysis, 35:1591– 1621, 2015
Carstensen, Carsten, Schedensack, Mira
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Reciprocal class of jump processes. Journal of Theoretical Probability, 30:551–580, 2015
Conforti, Giovanni, Dai Pra, Paolo, Roelly, Sylvie
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The Lipschitz metric on deformation spaces of G-trees. Algebr. Geom. Topol., 15:987–1029, 2015
Meinert, Sebastian
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The variation of the monodromy group in families of stratified bundles in positive characteristic. Documenta Math., 20:65–87, 2015
Battiston, Giulia
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A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. Numerische Mathematik, 133:37–66, 2016
Carstensen, Carsten, Reddy, B D, Schedensack, Mira
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A new coalescent for seed-bank models. Annals of Applied Probability, 26:857–891, 2016
Blath, Jochen, González Casanova Sobéron, Adrián, Kurt, Noemi, Wilke-Berenguer, Maite
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A new discretization for mth-Laplace equations with arbitrary polynomial degrees. SIAM J. Numer. Anal., 54:2138–2162, 2016
Schedensack, Mira
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An individual-based model for the Lenski experiment, and the deceleration of the relative fitness. Stochastic Processes and their Applications, 126:2211–2252, 2016
González Casanova Sobéron, Adrián, Kurt, Noemi, Wakolbinger, Anton, Yuan, Linglong
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Data-driven optimizations for model checking of multi-valued regulatory networks. Biosystems, 149:125–138, 2016
Siebert, Heike, Streck, Adam, Thobe, Kirsten
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Guaranteed velocity error control for the pseudostress approximation of the Stokes equations. Numerical Methods for Partial Differential Equations, 32:1411–1432, 2016
Bringmann, Philipp, Carstensen, Carsten, Merdon, Christian
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Instance optimal Crouzeix–Raviart adaptive finite element methods for the Poisson and Stokes problems. IMA Journal of Numerical Analysis, 36:593–617, 2016
Kreuzer, Christian, Schedensack, Mira
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L2 best approximation of the elastic stress in the Arnold–Winther FEM. IMA Journal of Scientific Computing, 36:1096– 1119, 2016
Carstensen, Carsten, Gallistl, Dietmar, Schedensack, Mira
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Low-order discontinuous Petrov–Galerkin finite element methods for linear elasticity. SIAM J. Numer. Anal., 54:3388–3410, 2016
Carstensen, Carsten, Hellwig, Friederike
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Recent advances in reaction-diffusion equations with non-ideal relays. Control of Self-Organizing Nonlinear Systems: 211–234, 2016
Gurevich, Pavel, Curran, Mark, Tikhomirov, Sergey
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Stability results for Houghton groups. Algebr. Geom. Topol., 16:2365–2377, 2016
Patzt, Peter, Wu, Xiaolei
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The generic Green–Lazarsfeld secant conjecture. Inventiones Mathematicae, 203:265–301, 2016
Farkas, Gavril, Kemeny, Michael
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The scaling limit of the interface of the continuous-space symbiotic branching model. Annals of Probability, 44:807–866, 2016
Blath, Jochen, Hammer, Matthias, Ortgiese, Marcel
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Weighted digraphs and tropical cones. Linear Algebra and its Applications, 501:304–343, 2016
Joswig, Michael, Loho, Georg
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An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models. J. Stat. Physics, 167:205– 233, 2017
Mielke, Alexander, Mittnenzweig, Markus
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Bridge mixtures of random walks on an Abelian group. Bernoulli, 23:1518–1537, 2017
Conforti, Giovanni, Roelly, Sylvie
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Commute maps: Separating slowly mixing molecular configurations for kinetic modeling. Journal of Chemical Theory and Computation, 12:5620–5630, 2017
Banisch, Ralf, Clementi, Cecilia, Noé, Frank
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Computing convex hulls and counting integer points with polymake. Mathematical Programming Computaiton, 9:1–38, 2017
Assarf, Benjamin, Gawrilow, Ewgenij, Herr, Katrin, Joswig, Michael
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Discrete Riemann surfaces based on quadrilateral cellular decompositions. Advances in Mathematics, 311:885–932, 2017
Bobenko, Alexander I., Günther, Felix
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Efficient discrete Lagrange multipliers in three firstorder finite element discretizations for the a posteriori error control in an obstacle problem. SIAM J. Numer. Anal., 55:349–375, 2017
Carstensen, Carsten, Köhler, Karoline
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Good deal hedging and valuation under combined uncertainty about drift and volatility. Probability, Uncertainty and Quantitative Risk, 22017
Becherer, Dirk, Klebert, Kentia
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Intersection theory of toric b-divisors in toric varieties. Journal of Algebraic Geometry, 282017
Botero, Ana M
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Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks. Adv. Calculus Variations 2017
Gussmann, P, Mielke, Alexander
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Matroids from hypersimplex splits. Journal of Combinatorial Theory. Series A, 151:254–284, 2017
Joswig, Michael, Schröter, Benjamin
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Max Point-tolerance graphs. Discrete Applied Mathematics, 216:84–97, 2017
Catanzaro, Daniele, Chaplick, Steven, Felsner, Stefan, Halldorsson, Bjarni V.
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Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition. ESAIM: Mathematical Modelling and Numerical Analysis, 51:399–425, 2017
Schedensack, Mira
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Nonconforming FEM for the obstacle problem. IMA Journal of Numerical Analysis, 37:64–93, 2017
Carstensen, Carsten, Köhler, Karoline
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Sharp one-sided curvature estimates for fully nonlinear curvature flows and applications to ancient solutions. Journal für die reine und angewandte Mathematik (Crelles Journal) 2017
Lynch, Stephen, Langford, Mat
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Supercyclidic Nets. Internat. Math. Research Notices, 2017:323–371
Bobenko, Alexander I., Huhnen-Venedey, Emanuel, Rörig, Thilo
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The complexity of the partial order dimension problem – Closing the gap. SIAM J. Discr. Math., 31:172–189, 2017
Felsner, Stefan, Mustata, Irina, Pergel, Martin
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The rainbow at the end of the line – A PPAD formulation of the colorful Carathéodory theorem with applications. Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA):1342–1351, 2017
Meunier, Frédéric, Mulzer, Wolfgang, Sarrabezolles, Pauline, Stein, Yannik
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A low-order discontinuous Petrov– Galerkin method for the Stokes equations. Numerische Mathematik, 140:1–34, 2018
Carstensen, Carsten, Puttkammer, Sophie
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A theory of Galois descent for finite inseparable extensions. Proceeding AMS, 146:69–83, 2018
Battiston, Giulia
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Block diagonal dominance of matrices revisited: Bounds for the norms of inverses and eigenvalue inclusion sets. Linear Algebra and its Applications, 553:365–383, 2018
Echeverría Serur, Carlos, Liesen, Jörg, Nabben, Reinhard
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Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. Electronic Transactions on Numerical Analysis (ETNA), 48:40–62, 2018
Echeverría Serur, Carlos, Liesen, Jörg, Szyld, Daniel B., Tichý, Petr
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Different models of bioregulatory networks. SIAM Journal on Applied Dynamical Systems, 17:1742–1765, 2018
Roeblitz, Susanne, Schwieger, Robert, Siebert, Heike
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Extremal hypergraphs for Ryser’s conjecture. Journal of Combinatorial Theory, Series A:492–547, 2018
Haxell, Penny, Narins, Lothar, Szabo, Tibor
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Nonlinear discontinuous Petrov–Galerkin methods. Numerische Mathematik, 139:529–561, 2018
Bringmann, Philipp, Carstensen, Carsten, Hellwig, Friederike, Wriggers, Peter
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Optimal Convergence rates for adaptive lowestorder discontinuous Petrov–Galerkin schemes. SIAM J. Numer. Anal., 56:1091–1111, 2018
Carstensen, Carsten, Hellwig, Friederike
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Optimal entropy-transport problems and a new Hellinger–Kantorovich distance between positive measures. Inventiones mathematicae, 211:969–1117, 2018
Liero, Matthias, Mielke, Alexander, Savaré, Giuseppe
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Optimal liquidation under stochastic liquidity. Finance and Stochastics, 22:39–68, 2018
Becherer, Dirk, Bilarev, Todor
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Representation stability for filtrations of Torelli groups. Math. Ann., 372:257–298, 2018
Patzt, Peter
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Space–Time–Matter. Analytic and Geometric Structures. de Gruyter 2018
Brüning, Jochen, Staudacher, Matthias
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Specialization map between stratified bundles and pro-étale fundamental groups. Adv. Math., 335:27–59, 2018
Lavanda, Elena
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Stability of periodic solutions for hysteresis-delay differential equations. Journal of Dynamics and Differential Equations:1–48, 2018
Gurevich, Pavel, Ron, Eyal
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The homology of configuration spaces of trees with loops. Algebr. Geom. Topol., 18:2443–2469, 2018
Chettih, Safia, Luetgehetmann, Daniel
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The shided proper orthogonal decomposition: A mode decomposition for multiple transport phenomena. IAM Journal Scientific Computing, 40:A1322-A1344, 2018
Mehrmann, Volker, Reiss, J, Schulze, P, Sesterhenn, Jörn
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Time-space trade-offs for computing Euclidean minimum spanning trees. Proceedings of the 13th Latin American Theoretical Informatics Symposium (LATIN):108–119, 2018
Banyassady, Bahareh, Barba, Luis, Mulzer, Wolfgang
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Topology of the Grünbaum–Hadwiger–Ramos hyperplane mass par-on problem. Trans. Amer. Math. Soc., 370:6795–6824, 2018
Blagojević, Pavle V M, Frick, Florian, Haase, Albert, Ziegler, Günter M
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A pathological case of the C1-conjecture in mixed characteristic. Math. Proc. Cambridge Philos. Soc., 167:61–64, 2019
Kaur, Inder
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A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Computers & Mathematics with Applications 2019
John, Volker, Jha, Abhinav
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Examples of varieties with inex one on C1-fields. J. Number Theory, 203:242–248, 2019
Dan, Ananyo, Kaur, Inder
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Some more amplituhedra are contractible. Sel. Math. New Ser., 252019
Blagojević, Pavle V M, Galashin, Pavle, Palic, Nevena, Ziegler, Günter M
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Stability for large investors strategies in M1/J1 topologies. Bernoulli Journal, 25:1105–1140, 2019
Becherer, Dirk, Bilarev, Todor, Frentrup, Peter
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The homotopy sequence for regular singular stratified bundles. Annali SNS, 19:869–888, 2019
Battiston, Giulia, Kindler, Lars
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Tverberg-type theorems for matroids: A counterexample and a proof. Combinatorica, 392019
Blagojević, Pavle V M, Haase, Albert, Ziegler, Günter M