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Paul Bryan
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Year
Curvature bound for curve shortening flow via distance comparison and a direct proof of Grayson's theorem
B Andrews, P Bryan
Journal für die reine und angewandte Mathematik 2011 (653), 179-187, 2011
632011
A unified flow approach to smooth, even Lp-Minkowski problems
P Bryan, MN Ivaki, J Scheuer
Analysis & PDE 12 (2), 259-280, 2018
552018
Classification of convex ancient solutions to curve shortening flow on the sphere
P Bryan, J Louie
The Journal of Geometric Analysis 26 (2), 858-872, 2016
312016
On the classification of ancient solutions to curvature flows on the sphere
P Bryan, MN Ivaki, J Scheuer
arXiv preprint arXiv:1604.01694, 2016
222016
Curvature bounds by isoperimetric comparison for normalized Ricci flow on the two-sphere
B Andrews, P Bryan
Calculus of Variations and Partial Differential Equations 39 (3-4), 419-428, 2010
202010
Orlicz–Minkowski flows
P Bryan, MN Ivaki, J Scheuer
Calculus of Variations and Partial Differential Equations 60 (1), 1-25, 2021
172021
A comparison theorem for the isoperimetric profile under curve shortening flow
B Andrews, P Bryan
Communications in Analysis and Geometry 19 (3), 503-539, 2011
122011
Harnack inequalities for curvature flows in Riemannian and Lorentzian manifolds
P Bryan, MN Ivaki, J Scheuer
Journal für die reine und angewandte Mathematik (Crelles Journal) 2020 (764 …, 2020
102020
Parabolic approaches to curvature equations
P Bryan, MN Ivaki, J Scheuer
Nonlinear Analysis 203, 112174, 2021
82021
Harnack estimate for mean curvature flow on the sphere
P Bryan, MN Ivaki
arXiv preprint arXiv:1508.02821, 2015
82015
Christoffel-Minkowski flows
P Bryan, M Ivaki, J Scheuer
Transactions of the American Mathematical Society 376 (04), 2373-2393, 2023
72023
Harnack inequalities for evolving hypersurfaces on the sphere
P Bryan, MN Ivaki, J Scheuer
arXiv preprint arXiv:1512.03374, 2015
72015
Harnack estimate for mean curvature flow on the sphere
P Bryan, MN Ivaki
Asian Journal of Mathematics 24 (1), 165-176, 2020
52020
Constant rank theorems for curvature problems via a viscosity approach
P Bryan, MN Ivaki, J Scheuer
Calculus of Variations and Partial Differential Equations 62 (3), 1-19, 2023
32023
Negatively Curved Three-Manifolds, Hyperbolic Metrics, Isometric Embeddings In Minkowski Space And The Cross Curvature Flow
P Bryan, MN Ivaki, J Scheuer
arXiv preprint arXiv:1906.02381, 2019
12019
Curvature bounds via an isoperimetric comparison for Ricci flow on surfaces
P Bryan
arXiv preprint arXiv:1403.4654, 2014
12014
Isoperimetric Comparison Techniques For Low Dimension Curvature Flows
P Bryan
Australian National University, 2012
12012
Mean Curvature Flow Into Spheres
P Bryan
Honours Thesis, Australian National University, 2008
12008
Sharp distance comparison for curve shortening flow on the round sphere
P Bryan, M Langford, JJ Zhu
arXiv e-prints, arXiv: 2310.02649, 2023
2023
Heat kernels and regularity for rough metrics on smooth manifolds
L Bandara, P Bryan
Mathematische Nachrichten 293 (12), 2255-2270, 2020
2020
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