The following publications (year 2026) by members of the Department and co-authors have been realized within the Excellence Project.

  • Abundo M., "Optimization in the first-passage problem of a diffusion with Poissonian resetting", preprint (2026).
  • Adriani A., Furci I., Garoni C., Serra-Capizzano S., "Spectral and singular value distribution of sequences of block matrices with rectangular Toeplitz blocks. Part I: Asymptotically rational block size ratios", Journal of Numerical Mathematics, in press (2026).
  • Adriani A., Garoni C., Serra-Capizzano S., "Spectral and singular value distribution of sequences of block matrices with rectangular Toeplitz blocks. Part II: Asymptotically irrational block size ratios", Journal of Numerical Mathematics, in press (2026).
  • Ambrosio F., Santi A., "Hyperplane arrangements and Vinberg's θ-groups", Journal of Algebra, vol. 693, pp. 770–789 (2026).
  • Appolloni L., Molle R., "Normalized Schrödinger equations with mass-supercritical nonlinearity in exterior domains", Discrete and Continuous Dynamical Systems, vol. 53, pp. 106–130 (2026).
  • Bandeira A. S., Cipolloni G., Schröder D., van Handel R., "Matrix concentration inequalities and free probability II. Two-sided bounds and applications", Communications of the American Mathematical Society, in press (2026).
  • Barbarino G., Ekström S-E., Garoni C., Meadon D., Serra-Capizzano S., Vassalos P., "From asymptotic distribution and vague convergence to uniform convergence, with numerical applications", Journal of Numerical Mathematics, vol. 34, no. 1, pp. 21–60 (2026).
  • Bartolucci D., Cosentino P., Wu L., "A Harnack-type inequality for a perturbed singular Liouville Equation", Mathematische Nachrichten, in press (2026).
  • Bartolucci D., Cosentino P., Wu L., "Onsager's mean field theory of vortex flows with singular sources: blow up and concentration without quantization", preprint (2026).
  • Bartolucci D., Hu Y., Jevnikar A., Wei J., Yang W., "A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions", Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, in press (2026).
  • Bartolucci D., Jevnikar A., Wei J., Wu R., "Sharp spectral estimates for free boundary problems arising in plasma physics", Differential Integral Equations, in press (2026).
  • Bartolucci D., Yang W., Zhang L., "Non degeneracy of blow-up solutions of non-quantized singular Liouville-type equations and the convexity of the mean field entropy of the Onsager vortex model with singular sources", Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, in press (2026).
  • Bellé R. (ed.), "Giovan Battista della Porta, De Refractione Optices Parte Libri Novem", Edizioni Scientifiche Italiane, 260 pp. (2026).
  • Bourgade P., Cipolloni G., Huang J., "Fluctuations for non-Hermitian dynamics", Cambridge Journal of Mathematics, in press (2026).
  • Bracco C., Patrizi F., Sestini A., "A smoothly varying quadrature approach for 3D IgA-BEM discretizations: Application to Stokes flow simulations", Computer Methods in Applied Mechanics and Engineering, vol. 452, art. 118773 (2026).
  • Braides A., Dal Maso G., Le Bris C., "A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations", SIAM Journal on Mathematical Analysis, vol. 58, no. 2, pp. 1744–1771 (2026).
  • Butterley O., Kim M., "Anisotropic spaces and nil-automorphisms", Nonlinearity, vol. 39, no. 3, art. 035011 (2026).
  • Canestrari G., Liverani C., Olla S., "Heat equation from a deterministic dynamics", Inventiones Mathematicae, in press (2026).
  • Cannarsa P., Danesi V., Doubova A., "Reconstruction of degeneracy region and power for parabolic equations and systems", Inverse Problems and Imaging, in press (2026).
  • Cannarsa P., Floridia G., Yamamoto M., "Carleman estimate with piecewise weight and applications to inverse problems for first-order transport equations", Inverse Problems, vol. 42, no. 3, art. 035010 (2026).
  • Cardaliaguet P., Munoz S., Porretta A., "Transporting a Dirac mass in a mean field planning problem", SIAM Journal on Mathematical Analysis, in press (2026).
  • Casadio Tarabusi E., Picardello M. A., "Spherical functions and spectrum of the Laplacian on semi-homogeneous trees", Potential Analysis, vol. 64, art. 31 (2026).
  • Chemla S., Kowalzig N., "Hopf bimodules for bialgebroids", Journal of Algebra, in press (2026).
  • Choi Y., Flamini F., Kim S., "Complete classification of irreducible components of the Brill-Noether locus of rank-2 vector bundles of degree d and speciality 2 on a general ν-gonal curve", Dissertationes Mathematicae, in press (2026).
  • Choi Y., Flamini F., Kim S., "Universal extension spaces and modular maps: unveiling irreducible components of Brill-Noether loci of stable bundles on a general ν-gonal curve", preprint (2026).
  • Cipolloni G., Erdős L., Henheik J., Kolupaiev O., "Eigenvector decorrelation for random matrices", Annals of Applied Probability, in press (2026).
  • Cipolloni G., Erdős L., Kolupaiev O., "The eigenvalues of i.i.d. matrices are hyperuniform", preprint (2026).
  • Codogni G., Lido G. M., "Spectral theory of isogeny graphs", Journal of Number Theory, vol. 286, pp. 131–184 (2026).
  • Codogni G., Patakfalvi Z., Tasin L., "Effective positivity of Hodge bundles and applications", Duke Mathematical Journal, in press (2026).
  • Conforti G., Durmus A., Greco G., "Quantitative contraction rates for Sinkhorn's algorithm: beyond bounded costs and compact marginals", Annals of Applied Probability, in press (2026).
  • Cutrì A., Mannucci P., Marchi C., Tchou N., "Constrained Mean Field Games with Grushin type dynamics", preprint (2026).
  • D'Aprile T., Wei J., Zhang L., "High order vanishing theorems for nonsimple blowup solutions of singular Liouville equation", Transactions of the American Mathematical Society, in press (2026).
  • D'Aprile T., Wei J., Zhang L., "Second order classification for singular Liouville equations with a coefficient function", preprint (2026).
  • Dello Schiavo L., Magnabosco M., Rigoni C., "Gradient flows of (K,N)-convex functions with negative N", Calculus of Variations and Partial Differential Equations, vol. 65, art. 90 (2026).
  • Di Bella E., de Graaf W. A., Santi A., "Classification of nilpotent and semisimple fourvectors of a real eight-dimensional space", preprint (2026).
  • Di Bella E., de Graaf W. A., Santi A., "Some rigidity results for supergravity backgrounds in 11 dimensions", preprint (2026).
  • Di Lillo S., Macci C., Pacchiarotti B., "Large deviation principles and functional limit theorems in the deep limit of wide random neural networks", preprint (2026).
  • Di Lillo S., Marinucci D., Salvi M., Vigogna S., "Fractal and regular geometry of deep neural networks", Annals of Applied Probability, in press (2026).
  • Eddargani S., Manni C., Speleers H., "Quadrature rules for splines of high smoothness on uniformly refined triangles", Mathematics of Computation, vol. 95, no. 357, pp. 321–338 (2026).
  • Fakhoury D., Speleers H., "On the expressivity of the ExSpliNet KAN model", Journal of Computational and Applied Mathematics, vol. 476, art. 117053 (2026).
  • Fiacchi M., Nikolov N., "Precise estimates for certain distances in ℝd", Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, in press (2026).
  • Forcillo N., Porretta A., "Long-time contractivity estimates for kinetic Kolmogorov-Fokker-Planck equations", Mathematische Annalen, vol. 395, art. 47 (2026).
  • García G. A., Gavarini F., "Formal multiparameter quantum groups, deformations and specializations", Annales de l'Institut Fourier, vol. 76, no. 1, pp. 51–167 (2026).
  • García G. A., Gavarini F., Paolini M., "Multiparameter quantum supergroups, deformations and specializations", Communications in Contemporary Mathematics, in press (2026).
  • Garoni C., "Introduction to the theory of generalized locally Toeplitz sequences and its applications", Mathematical Notes, in press (2026).
  • Gavarini F., Paolini M., "Multiparameter quantum general linear supergroup", Journal of Pure and Applied Algebra, vol. 230, no. 10, art. 108344 (2026).
  • Goldwurm M., Macci C., Vignati M., Villa E., "Analysis of multivariate symbol statistics in primitive rational models", preprint (2026).
  • Greco G., "A Malliavin-Gamma calculus approach to Score Based Diffusion Generative models for random fields", In: Todino A. P. (ed.) Analysis and Geometry of Random Fields, Springer INdAM Series, vol. 67, Springer, in press (2026).
  • Greco G., Marinucci D., "Sparsity for isotropic spherical random fields", Theory of Probability and Mathematical Statistics, in press (2026).
  • Greco G., Tamanini L., "Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity", Bernoulli, vol. 32, no. 3, pp. 2351–2378 (2026).
  • Kowalzig N., Weber T., "Takeuchi-Schneider equivalence and calculi for homogeneous spaces of Hopf algebroids", Communications in Mathematical Physics, in press (2026).
  • Macci C., Pacchiarotti B., "Some vector-valued examples of noncentral moderate deviation results", Theory of Probability and Mathematical Statistics, in press (2026).
  • Macci C., Pacchiarotti B., Papagiannouli K., Torrisi G. L., Trevisan D., "Functional large deviations for wide deep neural networks with Gaussian initialization and Lipschitz activations", preprint (2026).
  • Macci C., Pacchiarotti B., Torrisi G. L., "Large and moderate deviations for Gaussian neural networks", Journal of Applied Probability, vol. 63, no. 1, pp. 96–115 (2026).
  • Makowiec L., Salvi M., Sun R., "Random spanning trees in random environment", Annals of Applied Probability, in press (2026).
  • Manni C., Speleers H., Toshniwal D., "Isogeometric discrete differential forms with Tchebycheffian B-splines", Journal of Computational Physics, in press (2026).
  • Merrien J-L., Pelosi F., Sampoli M.L., Speleers H., "Simplex-splines on the Clough-Tocher split for high-order numerical approximation", Mathematics and Computers in Simulation, vol. 249, pp. 1041–1056 (2026).
  • Molle R., Moroz V., Riey G., "Normalised solutions and limit profiles of the defocusing Gross-Pitaevskii-Poisson equation", Calculus of Variations and Partial Differential Equations, vol. 65, no. 4, art. 109 (2026).
  • Morinelli V., Neeb K-H., Ólafsson G., "Orthogonal pairs of Euler elements I. Classification, fundamental groups and twisted duality", Forum Mathematicum, vol. 38, no. 3, pp. 893–923 (2026).
  • Morinelli V., Neeb K-H., Ólafsson G., "Orthogonal pairs of Euler elements II. Geometric Bisognano-Wichmann and Spin-Statistics Theorems", preprint (2026).
  • Patrizi F., Sestini A., "An algorithmic approach to direct spline products: procedures and computational aspects", Computer Aided Geometric Design, vol. 128, art. 102574 (2026).
  • Sinestrari C., Tenan J., "Volume preserving mean curvature flow of round surfaces in asymptotically flat spaces", Annales Henri Poincaré, in press (2026).
  • Sorrentino A., Wang L., "On the destruction of invariant Lagrangian graphs for conformal symplectic twist maps", Calculus of Variations and Partial Differential Equations, vol. 65, art. 153 (2026).
  • Sorrentino A., Zhang J., Zhu S., "Statistical regularity and linear response of Mather measures for Tonelli Lagrangian systems", preprint (2026).
  • Tenan J., "Volume preserving spacetime mean curvature flow and foliations of initial data sets", Journal of Functional Analysis, vol. 290, no. 6, art. 111313 (2026).
  • Tossini D., "Ad ognuno il suo contatore binario!", In: Amoroso A., Rinaudo M., Serio M. (eds.) Le Tecnologie Emergenti al Servizio dell'Insegnamento della Matematica e della Fisica nella Società di Oggi - DI.FI.MA. 2025, Collane@UniTo, Università di Torino, pp. 269–275 (2026).
  • Tossini D., Longo G., "An interdisciplinary approach to argumentation and proof in mathematics teaching: The legacy of Giandomenico Cassini's Gnomon", In: Moutsios-Rentzos A., Buchbinder O., Branchetti L., Durand-Guerrier V. (eds.) Argumentation and Proof in the Teaching and Learning of Mathematics and Interactions with Other Disciplines - MATHPIE 2026, pp. 2–11 (2026).
  • Tossini D., Longo G., "A multi technology approach to boolean algebra: from paper to circuits". In: Clark-Wilson A., Bokhove C. (eds.) Proceedings of the 17th International Conference on Technology in Mathematics Teaching, University College London, pp. 349–356 (2026).
  • Tossini D., Longo G., Scalambro E., "The binary system as an opportunity for sense-making: Integrating concrete manipulatives and history of mathematics", In: Krzywacki H. et al. (eds.) Proceedings of the 49th Conference of the International Group for the Psychology of Mathematics Education: General Contributions, PME, p. 781 (2026).