Submitted for publication

• Y. Canzani, J. Galkowski, and B. Keeler. Asymptotics for the spectral function on Zoll manifolds. (2022). Preprint arXiv:2211.09644.
• Y. Canzani and J. Galkowski. Logarithmic improvements in the Weyl law and exponential bounds on the number of closed geodesics are predominant. (2022). Preprint arXiv:2204.11921.

Publications

• T. Beck, Y. Canzani, and J. Marzuola. Uniform upper bounds on Courant sharp Neumann eigenvalues of chain domains. The Journal of Geometric Analysis. 34, no. 9, pp 262. (2024). Preprint arXiv:2305.16452.
• Y. Canzani and J. Galkowski. Growth of high Lp norms for eigenfunctions: an application of geodesic beams.  To appear in Analysis and PDEs. Preprint arXiv:2003.04597.
• Y. Canzani and J. Galkowski. Weyl remainders: an application of geodesic beams. Inventiones Mathematicae, 232(3), pp.1195-1272 (2023).  Preprint arXiv:2010.03969.
• Y. Canzani and J. Galkowski. Improvements for eigenfunction averages: an application of geodesic beams. Journal of Differential Geometry. 124(3), pp. 443-522 (2023)
• Y. Canzani and J. Toth. Lower bounds for eigenfunction restrictions in lacunary regions. Communications in Mathematical Physics, pp.1-22 (2023). Preprint arXiv:2207.05607
• T. Beck, Y. Canzani, and J. Marzuola. Quantitative bounds on impedance-to-impedance operators with applications to fast direct solvers for pdes. Pure and Applied Analysis. 4(2), 225-256 (2022).  Preprint arXiv:2103.14700.
• G. Berkolaiko, Y. Canzani, G. Cox, and J. Marzuola. A local test for global extrema in the dispersion relation of a periodic graph. Pure and Applied Analysis. 4(2), 257-286 (2022). Preprint arXiv:2004.12931.
• G. Berkolaiko, Y. Canzani, G. Cox, and J.Marzuola. Stability of spectral partitions and the Dirichlet-to- Neumann map. Calculus of Variations and Partial Differential Equations. 61(6), 203 (2022). Preprint arXiv:2201.00773
• T. Beck, Y. Canzani and J. Marzuola.  Nodal line estimates for the second Dirichlet eigenfunction. Journal of Spectral Theory, 11(1), 323-353 (2021). Preprint arXiv:1904.11557.
• Y. Canzani and J. Galkowski. Eigenfunction concentration via geodesic beams. Journal für die reine und angewandte Mathematik (Crelles Journal), 2021(775), 197-257 (2021). Preprint arXiv:1903.08461.
• Y. Canzani and B. Hanin. Local Universality for Zeros and Critical Points of Monochromatic Random Waves. Communications in Mathematical Physics, 378, 1677-1712 (2020). Preprint arXiv:1610.09438.
• Y. Canzani. Monochromatic Random Waves for General Riemannian Manifolds. In: N. Anantharaman, A. Nikeghbali, M.T. Rassias (Eds.). Frontiers in Analysis and Probability, (2020). Springer.
• Y. Canzani, L. Chen, D. Jakobson (Eds.) Probabilistic Methods in Geometry, Topology and Spectral Theory. Contemporary Mathematics, 739 (2019). American Mathematical Society.
• Y. Canzani and J. Galkowski.  On the growth of eigenfunction averages: microlocalization and geometry. Duke Mathematical Journal, 168(16) 2991-3055 (2019). Preprint arXiv:1710.07972.
• Y. Canzani and P. Sarnak. Topology and nesting of the zero set components of monochromatic random waves. Communications on Pure and Applied Mathematics, 72(2), 343-374 (2019). Preprint arXiv:1701.00034.
• Y. Canzani and J. Toth. Intersection Bounds for Nodal Sets of Laplace Eigenfunctions. In: M. Hitrik, D. Tamarkin, B. Tsygan, S. Zelditch (Eds.). Algebraic and Analytic Microlocal Analysis. AAMA 2013. Springer Proceedings in Mathematics & Statistics, 269, 421-436 (2018). Springer.
• Y. Canzani. Spectral geometry. In: A. Girouard (Ed.). Spectral Theory and Applications. Contemporary Mathematics, 720, 153-186 (2018). American Mathematical Society.
• Y. Canzani and B. Hanin. C^\infty- Scaling asymptotics for the spectral function of the laplacian. Journal of Geometric Analysis, 28(1) 111-122 (2018). Preprint arXiv:1602.00730.
• Y. Canzani, J. Galkowski and J. Toth. Averages of eigenfunctions over hypersurfaces. Communications in Mathematical Physics, 360, 619-637 (2018). Preprint arXiv:1705.09595.
• Y. Canzani and J. Toth. Nodal sets of Schrödinger eigenfunctions in forbidden regions. In Annales Henri Poincaré, 17, 3063-3087 (2016). Preprint arXiv:1502.00732.
• Y. Canzani and B. Hanin. Scaling Limit for the Kernel of the Spectral Projector and Remainder Estimates in the Pointwise Weyl Law. Analysis and Partial Differential Equations, 8(7), 1707-1731 (2015). Preprint arXiv:1411.0658.
• Y. Canzani and B. Hanin. High Frequency Eigenfunction Immersions and Supremum Norms of Random Waves. Electronic Research Announcements in Mathematical Sciences, 22, 76-86 (2015). Preprint arXiv:1406.2309.
• Y. Canzani, D. Jakobson and L. Silberman. Appendix of: Manifold of metrics with fixed volume form. Annales mathématiques du Québec, 39(2), 129-145 (2015). Preprint arXiv:1309.1348.
• Y. Canzani, D. Jakobson and J. Toth. On the distribution of perturbations of Schrödinger eigenfunctions. Journal of Spectral Theory, 4(2), 328-307 (2014). Preprint arXiv:1210.4499.
• Y. Canzani. On the multiplicity of eigenvalues of conformally covariant operators. Annales de L’Institut Fourier, 64(3), 947-970 (2014). Preprint arXiv:1207.0648.
• Y. Canzani, D. Jakobson, R. Gover and R. Ponge. Conformal invariants from nodal sets. International Mathematics Research Notices, 9, 2356-2400 (2014). Preprint arXiv:1208.3040.
• Y. Canzani, D. Jakobson and I. Wigman. Scalar curvature and Q-curvature of random metrics. The Journal of Geometric Analysis, 24(4), 1982-2019 (2014). Preprint arXiv:1002.0030.
• Y. Canzani, D. Jakobson, R. Gover and R. Ponge. Nullspaces of Conformally Invariant Operators. Applications to Q_k-curvature. Electronic Research Announcements in Mathematical Sciences, 20, 43-50 (2013). Preprint arXiv:1206.0517.