Publications related to Riemann mapping theorem

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-IMS2022

Spherical 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 ...

2021

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 satisfied to obtai ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

Open 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 ...

2020

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

Hoài-Minh Nguyên

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 SCIENCE2020

MATHICSE 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 ...

MATHICSE2019

Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes

Linus Jordan

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 ...

2019

Primary invariants of Hurwitz Frobenius manifolds

Nicolas Gerson Orantin

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 SOC2018

Non-uniqueness of admissible weak solutions to the Riemann problem for isentropic Euler equations

Elisabetta Chiodaroli

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 LTD2018

Simulation 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

Riemann mapping theorem

Extremal Distance And Conformal Radius Of A Cle4 Loop

Spherical cap harmonic analysis (SCHA) for characterising the morphology of rough surface patches

Constraint-aware neural networks for Riemann problems

Open and Closed Radicals: Local Geometry around Unpaired Electrons Governs Magic-Angle Spinning Dynamic Nuclear Polarization Performance

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

MATHICSE Technical Report: Constraint-Aware Neural Networks for Riemann Problems

Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes

Primary invariants of Hurwitz Frobenius manifolds

Non-uniqueness of admissible weak solutions to the Riemann problem for isentropic Euler equations

Simulation of Gas- and Liquid-Phase Layer-By-Layer Deposition of Metal Oxides by Coarse-Grained Modeling

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Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

MATHICSE Technical Report: Constraint-Aware Neural Networks for Riemann Problems

Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes

Primary invariants of Hurwitz Frobenius manifolds

Non-uniqueness of admissible weak solutions to the Riemann problem for isentropic Euler equations

Extremal Distance And Conformal Radius Of A Cle4 Loop

Spherical cap harmonic analysis (SCHA) for characterising the morphology of rough surface patches

Simulation of Gas- and Liquid-Phase Layer-By-Layer Deposition of Metal Oxides by Coarse-Grained Modeling

Constraint-aware neural networks for Riemann problems

Open and Closed Radicals: Local Geometry around Unpaired Electrons Governs Magic-Angle Spinning Dynamic Nuclear Polarization Performance