Papers and preprints ​
​​​
-
(with L. Becker, F. van Doorn, R. Srivastava, C. Thiele) Carleson Operators on Doubling Metric Measure Spaces
-
(with O. Shalom and T. Tao) A Host-Kra F_2^\omega-system of order 5 that is not Abramov of order 5, and non-measurability of the inverse theorem for the U^6(F_2^n) norm
submitted.
-
(with O. Shalom and T. Tao) The structure of totally disconnected Host-Kra-Ziegler factors, and the inverse theorem for the U^k Gowers uniformity norms on finite abelian groups of bounded torsion
submitted.​
-
(with N. Edeko and H. Kreidler) A Peter-Weyl theorem for compact group bundles and the geometric representation of relatively ergodic compact extensions
submitted.
-
(with P. Spaas) On compact extensions of tracial W*-dynamical systems
Groups, Geometry, and Dynamics, to appear.
-
(with M. Pan) Uniform syndeticity in multiple recurrence
Ergodic Theory and Dynamical Systems, 2024.
-
(with T. Tao) The inverse theorem for the U^3 Gowers uniformity norm on arbitrary finite abelian groups: Fourier-analytic and ergodic approaches
Discrete Anal., Paper No. 11, 48 pp., 2023.
Comm. Amer. Math. Soc., 4: 182-229, 2024.
-
An uncountable Furstenberg-Zimmer structure theory
Ergodic Theory Dynam. Systems, 43(7): 2404-2436, 2023.
-
(with P. Durcik, R. Greenfeld, A. Iseli, J. Madrid) An uncountable ergodic Roth theorem and applications
Discrete Contin. Dyn. Syst., 42(11): 5509-5540, 2022.
-
(with A. Chang, J. de Dios Pont, R. Greenfeld, Z. K. Li, J. Madrid) Decoupling for fractal subsets of the parabola
Math. Z., 301(2): 1851-1879, 2022.
-
(with T. Tao) Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration
Fund. Math., 261, 1-98, 2023.
-
(with T. Tao) An uncountable Mackey-Zimmer theorem
Studia Math., 266. 241-289, 2022.
-
(with T. Ö. Çelik, G. Montúfar, B. Sturmfels, L. Venturello) Wasserstein Distance to Independence Models
J. Symbolic Comput., 104: 855-873, 2021.
-
(with T. Tao) An uncountable Moore-Schmidt theorem
Ergodic Theory Dynam. Systems, 43(7): 2376-2403, 2023.
-
(with T. Ö. Çelik, G. Montúfar, B. Sturmfels, L. Venturello) Optimal Transport to a Variety
Mathematical Aspects of Computer and Information Sciences, MACIS 2019, Springer Lecture Notes in Computer Science 11989: 364-381, 2020.
-
(with S.-M. Grad) A perturbational duality approach in vector optimization
unpublished preprint
-
(with M. Carl) A transfer principle for second-order arithmetic, and applications
J. Log. Anal., 10, Paper No. 8, 32 pp, 2018.
-
(with J. M. Zapata) On compactness in L^0-modules
​unpublished preprint
-
(with S. Drapeau, M. Kupper) A Fenchel-Moreau theorem for L^0-valued functions
J. Convex Anal., 26(2): 593–603, 2019.
-
(with M. Kupper, J. M. Zapata) Parameter-dependent Stochastic Optimal Control in Finite Discrete Time
J. Optim. Theory Appl., 186(2): 644–666, 2020.
-
(with M. Kupper and M. Streckfuss) Measures and integrals in conditional set theory
Set-Valued Var. Anal., 26(4): 947–973, 2018.
Electron. Commun. Probab., 22, Paper No. 58, 10 pp, 2017.
-
(with S. Drapeau) Conditional Preference Orders and their Numerical Representations
J. Math. Econom., 63: 106–118, 2016.
-
Sheaves and conditional sets
unpublished preprint
-
(with S. Drapeau, M. Karliczek, M. Kupper) The algebra of conditional sets and the concepts of conditional topology and compactness
​ J. Math. Anal. Appl. 437(1): 561–589, 2016.
-
A Theory of Conditional Sets
PhD thesis, 2014.
-
(with J. Geiser), Iterative operator splitting with time overlapping algorithms
Wave Propagation in Materials for Modern Applications, Ed. A. Petrin, INTECH Open Access Publisher, 2010.