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1. Bounded distance equivalence of cut-and-project sets and equidecomposability
   2024/09/09 by Sigrid Grepstad, Grepstad, Sigrid · 2 citations
   Computer Science · #11K38 #52B45 #52C23 #Advanced Graph Theory Research #Complexity and Algorithms in Graphs #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #semigroups and automata theory
2. Scissors automorphism groups and their homology
   2024/08/15 by Kupers, Alexander, Lemann, Ezekiel, Malkiewich, Cary +2 · 6 citations
   #18F25 #19D99 #20J05 #52B45 #55P42 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT)
3. Polynomial valuations on convex functions and their maximal extensions
   2024/08/13 by Knoerr, Jonas, Ulivelli, Jacopo · 2 citations
   #26B25 #52B45 #53C65 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
4. Lefschetz operators on convex valuations
   2024/02/22 by Brauner, Leo, Hofstätter, Georg C., Ortega-Moreno, Oscar · 1 citation
   #44A12 #44A35 #52A20 #52A39 #52B45 #FOS: Mathematics #Metric Geometry (math.MG)
5. Categorical valuative invariants of polyhedra and matroids
   2024/01/12 by Ben Elias, Dane Miyata, Elias, Ben +5 · 2 citations
   Mathematics · #05B35 #52B45 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics
6. The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere
   2024/01/11 by Andrea Colesanti, Jonas Knoerr, Colesanti, Andrea +3 · 1 citation
   Mathematics · #26A16 #52B45 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Point processes and geometric inequalities
7. Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations
   2023/12/19 by Andreas Bernig, Jan Kotrbatý, Bernig, Andreas +3 · 2 citations
   Mathematics · #43A75 (Secondary) #52A39 #52A40 (Primary) #52B45 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Metric Geometry (math.MG) #Point processes and geometric inequalities
8. Smooth valuations on convex bodies and finite linear combinations of mixed volumes
   2023/12/13 by Jonas Knoerr, Knoerr, Jonas · 1 citation
   Mathematics · #52A20 #52A39 #52B45 #FOS: Mathematics #Metric Geometry (math.MG) #Point processes and geometric inequalities
9. The Fourier transform on valuations is the Fourier transform
   2023/09/13 by Faifman, Dmitry, Wannerer, Thomas · 2 citations
   #42B10 #52A22 #52B45 #53C65 #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
10. Convex valuations, from Whitney to Nash
    2023/06/12 by Faifman, Dmitry, Hofstätter, Georg C. · 1 citation
    #14N20 #44A15 #52B45 #53A07 #53C65 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
11. From valuations on convex bodies to convex functions
    2023/01/24 by Knoerr, Jonas, Ulivelli, Jacopo · 2 citations
    #26B25 #52B45 #53C65 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
12. The uniform Gardner conjecture and rounding Borel flows
    2022/12/07 by Bowen, Matthew, Kun, Gábor, Sabok, Marcin · 1 citation
    #03E15 #05C21 #37A20 #52B45 #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Logic (math.LO)
13. On higher scissors congruence
    2022/10/14 by Cary Malkiewich, Malkiewich, Cary · 2 citations
    Mathematics · #19D99 #52B45 #55P42 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
14. Singular valuations and the Hadwiger theorem on convex functions
    2022/09/12 by Jonas Knoerr, Knoerr, Jonas · 2 citations
    Agricultural and Biological Sciences · Economics, Econometrics and Finance · Mathematics · #26B25 #52B45 #53C65 #African Botany and Ecology Studies #Economic theories and models #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)
15. Fixed points of Minkowski valuations
    2021/04/23 by Ortega-Moreno, Oscar, Schuster, Franz E. · 1 citation
    #52A39 #52A40 #52B45 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
16. Continuous valuations on the space of Lipschitz functions on the sphere
    2020/05/11 by Colesanti, Andrea, Pagnini, Daniele, Tradacete, Pedro +1 · 3 citations
    #26A16 #28A12 #52B45 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
17. On the general dual Orlicz-Minkowski problem
    2018/02/18 by Xing, Sudan, Ye, Deping · 1 citation
    #52A39 #52B45 #53A15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Metric Geometry (math.MG)
18. Ehrhart tensor polynomials
    2017/06/06 by Berg, Sören, Jochemko, Katharina, Silverstein, Laura · 2 citations
    #05A10 #05A15 #15A45 #15A69 #52B20 #52B45 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
19. Smooth polytopes with negative Ehrhart coefficients
    2017/04/18 by Castillo, Federico, Liu, Fu, Nill, Benjamin +1 · 1 citation
    #14M25 #52B20 #52B45 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics
20. The dual Orlicz-Minkowski problem
    2017/03/20 by Zhu, Baocheng, Xing, Sudan, Ye, Deping · 1 citation
    #52A39 #52B45 #53A15 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
21. Combinatorial mixed valuations
    2016/05/24 by Jochemko, Katharina, Sanyal, Raman · 1 citation
    #05A10 #52A39 #52B20 #52B45 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
22. Minkowski Valuations and Generalized Valuations
    2015/07/20 by Schuster, Franz E., Wannerer, Thomas · 2 citations
    #43A90 #52A22 #52B45 #FOS: Mathematics #Metric Geometry (math.MG)
23. A Valuation-Theoretic Approach to Translative-Equidecomposability
    2015/07/05 by Kusejko, Katharina, Parapatits, Lukas · 2 citations
    #52B45 #FOS: Mathematics #Metric Geometry (math.MG)
24. Moments and Valuations
    2015/07/05 by Christoph Haberl, Lukas Parapatits, Haberl, Christoph +1 · 1 citation
    Mathematics · #52A20 #52B45 #Advanced Banach Space Theory #FOS: Mathematics #Metric Geometry (math.MG) #Point processes and geometric inequalities
25. The Centro-Affine Hadwiger Theorem
    2013/07/02 by Christoph Haberl, Lukas Parapatits, Haberl, Christoph +1 · 2 citations
    Mathematics · #52A20 #52B45 #FOS: Mathematics #Metric Geometry (math.MG) #Point processes and geometric inequalities
26. Topology and Combinatorics of Partitions of Masses by Hyperplanes
    2003/10/23 by Peter Mani-Levitska, Mani-Levitska, Peter, Siniša T. Vrećica +5 · 1 citation
    Computer Science · Mathematics · #05A15 #51M20 #52B45 #55N25 #55S35 #57R25 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Mathematics #Topological and Geometric Data Analysis #math.AT #math.CO #msc:05A15 #msc:51M20 #msc:52B45 #msc:55N25 #msc:55S35 #msc:57R25