Nodal geometry, heat diffusion and Brownian motion B Georgiev, M Mukherjee Analysis & Pde 11 (1), 133-148, 2017 | 26 | 2017 |
On maximizing the fundamental frequency of the complement of an obstacle B Georgiev, M Mukherjee Comptes Rendus. Mathématique 356 (4), 406-411, 2018 | 13 | 2018 |
Some remarks on nodal geometry in the smooth setting B Georgiev, M Mukherjee Calculus of Variations and Partial Differential Equations 58, 1-25, 2019 | 12 | 2019 |
Nodal sets of Laplace eigenfunctions under small perturbations M Mukherjee, S Saha Mathematische Annalen, 1-17, 2021 | 7 | 2021 |
Mass non-concentration at the nodal set and a sharp Wasserstein uncertainty principle M Mukherjee arXiv preprint arXiv:2103.11633, 2021 | 6* | 2021 |
Nonlinear travelling waves on complete Riemannian manifolds M Mukherjee | 6* | 2018 |
A special class of nonlinear hypoelliptic equations on spheres M Mukherjee Nonlinear Differential Equations and Applications NoDEA 24, 1-25, 2017 | 5* | 2017 |
Some applications of heat flow to Laplace eigenfunctions B Georgiev, M Mukherjee Communications in Partial Differential Equations 47 (4), 677-700, 2022 | 4 | 2022 |
Extremal values of the (fractional) Weinstein functional on the hyperbolic space M Mukherjee Forum Mathematicum 29 (4), 959-970, 2017 | 3* | 2017 |
A spectral gap estimate and applications B Georgiev, M Mukherjee, S Steinerberger arXiv preprint arXiv:1612.08565, 2016 | 3 | 2016 |
Heating up decision boundaries: isocapacitory saturation, adversarial scenarios and generalization bounds B Georgiev, L Franken, M Mukherjee arXiv preprint arXiv:2101.06061, 2021 | 2 | 2021 |
Variation of Laplace spectra of compact “nearly” hyperbolic surfaces M Mukherjee Comptes Rendus. Mathématique 355 (2), 216-221, 2017 | 2 | 2017 |
Nodal geometry and topology of low energy eigenfunctions M Mukherjee, S Saha arXiv preprint arXiv:2108.13874, 0 | 2 | |
On the spectrum of certain Hadamard manifolds W Ballmann, M Mukherjee, P Polymerakis SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 19, 050, 2023 | 1 | 2023 |
On the Impact of Stable Ranks in Deep Nets B Georgiev, L Franken, M Mukherjee, G Arvanitidis arXiv preprint arXiv:2110.02333, 2021 | 1 | 2021 |
Heat profile, level sets and hot spots of Laplace eigenfunctions M Mukherjee, S Saha arXiv preprint arXiv:2109.06531, 2021 | 1 | 2021 |
On the effects of small perturbation on low energy Laplace eigenfunctions M Mukherjee, S Saha arXiv preprint arXiv:2108.13874, 2021 | 1 | 2021 |
Polyhedral Billiards, Eigenfunction Concentration and Almost Periodic Control M Cekić, B Georgiev, M Mukherjee Communications in Mathematical Physics, 1-37, 2020 | 1 | 2020 |
Finitely generated groups and harmonic functions of slow growth M Mukherjee, S Samanta, S Thandar arXiv preprint arXiv:2405.07688, 2024 | | 2024 |
On the spectrum of Hadamard manifolds W Ballmann, M Mukherjee, P Polymerakis arXiv preprint arXiv:2301.10986, 2023 | | 2023 |