Concept
Riemann mapping theorem
Related publications (51)
Extremal Distance And Conformal Radius Of A Cle4 Loop
Consider CLE4 in the unit disk, and let l be the loop of the CLE4 surrounding the origin. Schramm, Sheffield and Wilson determined the law of the conformal radius seen from the origin of the domain surrounded by l. We complement their result by determining ...
INST MATHEMATICAL STATISTICS-IMS2022Spherical cap harmonic analysis (SCHA) for characterising the morphology of rough surface patches
Katrin Beyer, Mahmoud S. M. Shaqfa
We use spherical cap harmonic (SCH) basis functions to analyse and reconstruct the morphology of scanned genus-0 rough surface patches with open edges. We first develop a novel one-to-one conformal mapping algorithm with minimal area distortion for paramet ...
2021Constraint-aware neural networks for Riemann problems
Jan Sickmann Hesthaven, Deep Ray
Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be satisfied to obtai ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2020Open and Closed Radicals: Local Geometry around Unpaired Electrons Governs Magic-Angle Spinning Dynamic Nuclear Polarization Performance
David Lyndon Emsley, Yu Rao, Dominik Józef Kubicki, Moreno Lelli, Gabriele Stevanato, Manuel Cordova, Georges Guévork Jean-Jacques Menzildjian
The development of magic-angle spinning dynamic nuclear polarization (MAS DNP) has allowed atomic-level characterization of materials for which conventional solid-state NMR is impractical due to the lack of sensitivity. The rapid progress of MAS DNP has be ...
2020Characterization of the traces on the boundary of functions in magnetic Sobolev spaces
We characterize the trace of magnetic Sobolev spaces defined in a half-space or in a smooth bounded domain in which the magnetic field Ais differentiable and its exterior derivative corresponding to the magnetic field dAis bounded. In particular, we prove ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2020MATHICSE Technical Report: Constraint-Aware Neural Networks for Riemann Problems
Jan Sickmann Hesthaven, Deep Ray
Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be satised to obtain ...
MATHICSE2019Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes
We describe an injection from border-strip decompositions of certain diagrams to permutations. This allows us to provide enumeration results as well as q-analogues of enumeration formulas. Finally, we use this injection to prove a connection between the nu ...
2019Primary invariants of Hurwitz Frobenius manifolds
Hurwitz spaces parameterizing covers of the Riemann sphere can be equipped with a Frobenius structure. In this review, we recall the construction of such Hurwitz Frobenius manifolds as well as the correspondence between semisimple Frobenius manifolds and t ...
AMER MATHEMATICAL SOC2018Non-uniqueness of admissible weak solutions to the Riemann problem for isentropic Euler equations
We study the Riemann problem for multidimensional compressible isentropic Euler equations. Using the framework developed in Chiodaroli et al (2015 Commun. Pure Appl. Math. 68 1157-90), and based on the techniques of De Lellis and Szekelyhidi (2010 Arch. Ra ...
IOP PUBLISHING LTD2018Simulation of Gas- and Liquid-Phase Layer-By-Layer Deposition of Metal Oxides by Coarse-Grained Modeling
Jeremy Luterbacher, Florent Emmanuel Héroguel, Benjamin Pierre Le Monnier, Kristopher Brown, Chiara Saggese
Atomic layer deposition (ALD) and chemical layer deposition (CLD) are techniques to produce conformal, atomically precise overcoats for materials in gas and liquid phases, respectively. Although it is a challenge to explicitly model ALD/CLD dynamics becaus ...
2018