Results 61 to 70 of about 5,713 (169)
Lipschitz decompositions of domains with bilaterally flat boundaries
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
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Angles and Quasiconformal Mappings† [PDF]
Proceedings of the London Mathematical Society, 1965 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135391/1/plms0001 ...
Agard, S. B., Gehring, F. W.
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GPU‐Accelerated Optimization of Discrete Ricci Flow for High‐Resolution Triangular Meshes
IET Image Processing, Volume 19, Issue 1, January/December 2025.Discrete Ricci flow is a valuable technique for surface parameterization via target curvatures but suffers from high computational costs. This paper overcomes this bottleneck by proposing a GPU‐accelerated framework that reformulates the iterative process into parallel matrix computations. Experiments confirm the GPU implementation achieves significant
Zhiheng Wei +7 more
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Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces
Abstract and Applied Analysis, 2014 We prove a quasiconformal analogue of Koebe’s theorem related to the average Jacobian and use a normal family argument here to prove a quasiregular analogue of this result in certain domains in n-dimensional space.
Miodrag Mateljević
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OPTIMIZATION OF CONTROLLED EXPLOSION PROCESSES PARAMETERS USING COMPLEX ANALYSIS METHODS
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2019 The optimal charge power and position necessary for forming the maximum possible size of the crater along with preservation of the integrity of the two nearby objects with the numerical quasiconformal mapping methods with the alternate parameterization ...
Andrii Ya. Bomba +2 more
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Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The present article intends to study the ∗‐conformal η‐Ricci soliton on n‐LPK (n‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n‐LPK, we derive certain results of ∗‐conformal η‐Ricci soliton satisfying the Codazzi‐type equation, R(ξ, L) · S = 0, the projective flatness of the n‐LPK manifold. At last, we conclude with an
Shyam Kishor +4 more
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Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal +5 more
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The theory of prime ends and spatial mappings [PDF]
, 2015 It is given a canonical representation of prime ends in regular spatial domains and, on this basis, it is studied the boundary behavior of the so-called lower Q-homeomorphisms that are the natural generalization of the quasiconformal mappings.
Kovtonyuk, Denis, Ryazanov, Vladimir
core
Cyclic‐Schottky strata of Schottky space
Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3412-3427, November 2024.Abstract Schottky space Sg${\mathcal {S}}_{g}$, where g⩾2$g \geqslant 2$ is an integer, is a connected complex orbifold of dimension 3(g−1)$3(g-1)$; it provides a parametrization of the PSL2(C)${\rm PSL}_{2}({\mathbb {C}})$‐conjugacy classes of Schottky groups Γ$\Gamma$ of rank g$g$. The branch locus Bg⊂Sg${\mathcal {B}}_{g} \subset {\mathcal {S}}_{g}$,
Rubén A. Hidalgo, Milagros Izquierdo
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Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1988 This is a survey article on recent development of the theory of quasiconformal mappings. Particular attention is paid to connections with Möbius groups, to higher dimensional quasiconformal mappings, and to quasiregular mappings; i.e. non-injective quasiconformal mappings.
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