Stereographic markov chain monte carlo

J Yang, K Łatuszyński, GO Roberts - arXiv preprint arXiv:2205.12112, 2022 - arxiv.org
High dimensional distributions, especially those with heavy tails, are notoriously difficult for
off-the-shelf MCMC samplers: the combination of unbounded state spaces, diminishing …

A Unifying Framework for -Dimensional Quasi-Conformal Mappings

D Zhang, GPT Choi, J Zhang, LM Lui - SIAM Journal on Imaging Sciences, 2022 - SIAM
With the advancement of computer technology, there is a surge of interest in effective
mapping methods for objects in higher-dimensional spaces. To establish a one-to-one …

Triangular ratio metric in the unit disk

O Rainio, M Vuorinen - Complex Variables and Elliptic Equations, 2022 - Taylor & Francis
Full article: Triangular ratio metric in the unit disk Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

Homeomorphic extension of quasi-isometries for convex domains in and iteration theory

F Bracci, H Gaussier, A Zimmer - Mathematische Annalen, 2021 - Springer
We study the homeomorphic extension of biholomorphisms between convex domains in C^
d C d without boundary regularity and boundedness assumptions. Our approach relies on …

3D orientation-preserving variational models for accurate image registration

D Zhang, K Chen - SIAM Journal on Imaging Sciences, 2020 - SIAM
The Beltrami coefficient from complex analysis has recently been found to provide a robust
constraint for obtaining orientation-preserving and diffeomorphic transformations for …

[HTML][HTML] Condenser capacity and hyperbolic perimeter

MMS Nasser, O Rainio, M Vuorinen - Computers & Mathematics with …, 2022 - Elsevier
We study the conformal capacity by using novel computational algorithms based on
implementations of the fast multipole method, and analytic techniques. Especially, we apply …

Teichmüller's theorem in higher dimensions and its applications

A Golberg, T Sugawa, M Vuorinen - Computational Methods and Function …, 2020 - Springer
For a given ring (domain) in R^ n R¯ n, we discuss whether its boundary components can be
separated by an annular ring with modulus nearly equal to that of the given ring. In …

Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals

M Nasser, O Rainio, A Rasila, M Vuorinen… - Advances in …, 2022 - Springer
We study numerical conformal mappings of planar Jordan domains with boundaries
consisting of finitely many circular arcs, also called polycircular domains, and compute the …

Quasisymmetric uniformization and heat kernel estimates

M Murugan - Transactions of the American Mathematical Society, 2019 - ams.org
We show that the circle packing embedding in $\mathbb {R}^ 2$ of a one-ended, planar
triangulation with polynomial growth is quasisymmetric if and only if the simple random walk …

The Fixed points and cross-ratios of hyperbolic möbius transformations in bicomplex space

L Chen, B Dai - Advances in Applied Clifford Algebras, 2022 - Springer
The hyperbolic Möbius transformations, which have been defined and proved to be
hyperbolic conformal in Golberg and Luna-Elizarrarás (Math Methods Appl Sci 2020 …