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Department of Mathematics

Publications

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Working Paper

Spotti, C. & Giusti, F. (2023). A Kümmer construction for Chern-Ricci flat balanced manifolds. ArXiv.

Spotti, C., Angella, D., Calamai, S. & Pediconi, F. (2022). A moment map for twisted-Hamiltonian vector fields on locally conformally Kähler manifolds. ArXiv. https://arxiv.org/abs/2207.06863

Spotti, C. & Sektnan, L. M. (2021). Extremal metrics on the total space of destabilising test configurations. ArXiv. https://arxiv.org/abs/2110.07496

Spotti, C. & de Borbon, M. (2023). Some models for bubbling of (log) Kähler-Einstein metrics.

Ruiz, P. A. & Baudoin, F. (2023). Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies.

Ruiz, P. A. & Baudoin, F. (2024). Korevaar-Schoen $p$-energies and their $Γ$-limits on Cheeger spaces.

Ruiz, P. A. & Baudoin, F. (2022). Oscillations of BV measures on nested fractals. https://doi.org/10.48550/arXiv.2201.12274

Nkansah, D. (2023). Auslander-Reiten theory in proper abelian subcategories. https://doi.org/10.48550/arXiv.2312.07323

Nkansah, D. (2024). Rank functions on \((d+2)\)-angulated categories -- a functorial approach.

Lauritzen, N. & Thomsen, J. F. (2023). Finitely generated bimodules over Weyl algebras. https://arxiv.org/abs/2308.09384

Khalid, S. & Sjöström Dyrefelt, Z. (2024). Wall-Chamber Decompositions for Generalized Monge-Ampère Equations. https://doi.org/10.48550/arXiv.2412.20089

Gratz, S. & Stevenson, G. (2023). Approximating triangulated categories by spaces. Elsevier. https://doi.org/10.1016/j.aim.2023.109073

Ditlevsen, J. & Frahm, J. (2024). Construction and analysis of symmetry breaking operators for the pair (GL(n+1,R),GL(n,R)). https://arxiv.org/abs/2403.14267

Baudoin, F. (2024). Bottom of the spectrum for manifolds foliated by minimal leaves.

Baudoin, F., Gordina, M. & Sarkar, R. (2024). Dimension-independent functional inequalities by tensorization and projection arguments.

Baudoin, F., Lang, Q. & Sire, Y. (2024). Extension method in Dirichlet spaces with sub-Gaussian estimates and applications to regularity of jump processes on fractals.

Baudoin, F. & Lacaux, C. (2024). Fractional stable random fields on the Sierpiński gasket. https://doi.org/10.1016/j.spa.2024.104481

Baudoin, F., Gordina, M., Herzog, D., Kim, J. & Melcher, T. (2023). Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise.

Baudoin, F. & Chen, L. (2023). Heat kernel gradient estimates for the Vicsek set.

Baudoin, F. (2022). Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces. https://doi.org/10.48550/arXiv.2207.12191

Baudoin, F., Chen, H. & Ouyang, C. (2024). Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds.

Baudoin, F. & Kuijper, T. (2024). On the law of the index of Brownian loops related to the Hopf and anti-de Sitter fibrations.

Baudoin, F., Chen, L., Huang, C.-H., Ouyang, C., Tindel, S. & Wang, J. (2024). Parabolic Anderson model in bounded domains of recurrent metric measure spaces.

Baudoin, F., Demni, N. & Wang, J. (2022). Stochastic areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels.

Baudoin, F. & Mostovyi, O. (2024). The indifference value of the weak information.

Baudoin, F., Grong, E., Neel, R. & Thalmaier, A. (2022). Variations of the sub-Riemannian distance on Sasakian manifolds with applications to coupling. ArXiv.

Baudoin, F., Chen, L., Huang, C.-H., Ouyang, C., Tindel, S. & Wang, J. (2025). Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model. ArXiv. https://doi.org/10.48550/arXiv.2501.04593

August, J., Cheung, M.-W., Faber, E., Gratz, S. & Schroll, S. (2022). Cluster structures for the A_∞ singularity. ArXiv. https://doi.org/10.48550/arXiv.2205.15344

August, J., Cheung, M.-W., Faber, E., Gratz, S. & Schroll, S. (2020). Grassmannian categories of infinite rank.

Arends, C., Frahm, J. & Hilgert, J. (2023). A Pairing Formula for Resonant States on Finite Regular Graphs. https://arxiv.org/abs/2312.10509

Arends, C., Bang-Jensen, F. J. & Frahm, J. (2024). Explicit Hilbert spaces for the unitary dual of rank one orthogonal groups and applications. https://arxiv.org/abs/2406.11349

Contribution to journal

Christandl, M., Cornean, H., Fournais, S., Müller, P. & Møller, J. S. (2021). Preface. Reviews in Mathematical Physics, 33(1), Article 2002001. https://doi.org/10.1142/S0129055X20020018

Working Paper

Thomsen, K. (2008). All extensions by C_r* (F_n) are semi-invertible. (pp. 1-6). Department of Mathematical Sciences, Aarhus University. http://www.imf.au.dk/publs?id=669

Thomsen, J. F. (2010). A proof of Wahl's conjecture in the symplectic case. arxiv.org. http://arxiv.org/abs/1009.0479

Thomsen, K. (2007). C*-algebras of homoclinic and heteroclinic structure in expansive dynamics. Department of Mathematical Sciences , University of Aarhus. http://www.imf.au.dk/publs?id=646

Thomsen, J. F. (2005). Frobenius splitting of equivariant closures of regular conjugacy classes.

Thomsen, J. F. & Lauritzen, N. (2010). Maximal compatible splitting and diagonals of Kempf varieties. arxiv.org. http://arxiv.org/pdf/1004.2847v2

Thomsen, K. (2003). On the structure of a sofic shift space. Department of Mathematical Sciences , University of Aarhus.

Thomsen, K. (2007). The homoclinic and heteroclinic C*-algebras of a generalized one-dimensional solenoid. Department of Mathematical Sciences , University of Aarhus. http://www.imf.au.dk/publs?id=667

Svane, H. M. & Plessis, A. D. (2019). Reconstruction of r-regular Objects from Trinary Images.

Stetkær, H. (2002). d'Alembert's and Wilson's functional equations on step 2 nilpotent group. Department of Mathematical Sciences , University of Aarhus.

Stetkær, H. (2003). On a variant of Wilson's functional equation on groups. MaPhySto, University of Aarhus.

Stetkær, H. (2001). On Jensens functional equation on groups. Department of Mathematical Sciences , University of Aarhus.

Stetkær, H. (2004). On operator-valued spherical functions. Department of Mathematical Sciences, Aarhus University.

Stetkær, H. (2007). Properties of d'Alembert functions. Department of Mathematical Sciences , University of Aarhus. http://www.imf.au.dk/publs?id=657

Stetkær, H. (2006). Representations, convolution square roots and spherical vectors. http://www.imf.au.dk/publs?id=632

Spotti, C. & Sun, S. (2017). Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. (pp. 477-515). ArXiv. https://arxiv.org/pdf/1705.00377.pdf

Spotti, C., Angella, D. & Calamai, S. (2020). Remarks on Chern-Einstein Hermitian metrics. (pp. 1707-1722). Mathematische Zeitschrift. https://doi.org/10.1007/s00209-019-02424-4

Speyer, D., Jensen, A. N., Bogart, T., Sturmfels, B. & Thomas, R. (2005). Computing Tropical Varieties.

Skibsted, E. (2012). Renormalized two-body low-energy scattering. Department of Mathematics, Aarhus University. Preprints No. 3

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Lars Madsen