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Mayukh Mukherjee
Mayukh Mukherjee
Assistant Professor of Mathematics, Indian Institute of Technology Bombay
Verified email at math.iitb.ac.in - Homepage
Title
Cited by
Cited by
Year
Nodal geometry, heat diffusion and Brownian motion
B Georgiev, M Mukherjee
Analysis & Pde 11 (1), 133-148, 2017
262017
On maximizing the fundamental frequency of the complement of an obstacle
B Georgiev, M Mukherjee
Comptes Rendus. Mathématique 356 (4), 406-411, 2018
132018
Some remarks on nodal geometry in the smooth setting
B Georgiev, M Mukherjee
Calculus of Variations and Partial Differential Equations 58, 1-25, 2019
122019
Nodal sets of Laplace eigenfunctions under small perturbations
M Mukherjee, S Saha
Mathematische Annalen, 1-17, 2021
72021
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
42022
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
32016
Variation of Laplace spectra of compact “nearly” hyperbolic surfaces
M Mukherjee
Comptes Rendus. Mathématique 355 (2), 216-221, 2017
22017
Nodal geometry and topology of low energy eigenfunctions
M Mukherjee, S Saha
arXiv preprint arXiv:2108.13874, 0
2
Heat profile, level sets and hot spots of Laplace eigenfunctions
M Mukherjee, S Saha
arXiv preprint arXiv:2109.06531, 2021
12021
On the effects of small perturbation on low energy Laplace eigenfunctions
M Mukherjee, S Saha
arXiv preprint arXiv:2108.13874, 2021
12021
Heating up decision boundaries: isocapacitory saturation, adversarial scenarios and generalization bounds
B Georgiev, L Franken, M Mukherjee
arXiv preprint arXiv:2101.06061, 2021
12021
Polyhedral Billiards, Eigenfunction Concentration and Almost Periodic Control
M Cekić, B Georgiev, M Mukherjee
Communications in Mathematical Physics, 1-37, 2020
12020
On the Spectrum of Certain Hadamard Manifolds
W Ballmann, M Mukherjee, P Polymerakis
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 19, 050, 2023
2023
On the spectrum of Hadamard manifolds
W Ballmann, M Mukherjee, P Polymerakis
2023
On the Impact of Stable Ranks in Deep Nets
B Georgiev, L Franken, M Mukherjee, G Arvanitidis
arXiv preprint arXiv:2110.02333, 2021
2021
Correction to: Boundedness of spectral multipliers of generalized Laplacians on compact manifolds with boundary
M Mukherjee
2019
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