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Lower bound for KVol on the minimal stratum of translation surfaces
In this paper we are interested in algebraic intersection of closed curves of a given length on translation surfaces. We study the quantity KVol,...
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Ϝ-Contraction of Hardy–Rogers type in supermetric spaces with applications
This article focuses on studying some fixed-point results via Ϝ -contraction of Hardy–Rogers type in the context of supermetric space and ordered...
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Trisecting a 4-dimensional book into three chapters
We describe an algorithm that takes as input an open book decomposition of a closed oriented 4-manifold and outputs an explicit trisection diagram of...
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Projectively induced Kähler cones over regular Sasakian manifolds
Motivated by a conjecture in Loi et al. (Math Zeit 290:599–613, 2018) we prove that the Kähler cone over a regular complete Sasakian manifold is...
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Littlewood–Paley–Stein square functions for the fractional discrete Laplacian on \(\mathbb {Z}\)
We investigate the boundedness of “vertical” Littlewood–Paley–Stein square functions for the nonlocal fractional discrete Laplacian on the lattice
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Quantum signal processing and nonlinear Fourier analysis
Elucidating a connection with nonlinear Fourier analysis (NLFA), we extend a well known algorithm in quantum signal processing (QSP) to represent...
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Demiclosed principle and some fixed-point theorems for generalized nonexpansive map**s in Banach spaces
The aim of this paper is to discuss some results concerning the demiclosedness principle of generalized, nonexpansive map**s in uniformly convex...
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Top degree \(\ell ^p\)-homology and conformal dimension of buildings
For a non-compact finite thickness building whose Davis apartment is an orientable pseudomanifold, we compute the supremum of the set of
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Chern–Simons theory and cohomological invariants of representation varieties
We prove a general local rigidity theorem for pull-backs of homogeneous forms on reductive symmetric spaces under representations of discrete groups....
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Weighted weak-type inequalities for maximal operators and singular integrals
We prove quantitative, one-weight, weak-type estimates for maximal operators, singular integrals, fractional maximal operators and fractional...
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Isoperiodic families of Poncelet polygons inscribed in a circle and circumscribed about conics from a confocal pencil
Poncelet polygons inscribed in a circle and circumscribed about conics from a confocal family naturally arise in the analysis of the numerical range...
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Fundamental groups and group presentations with bounded relator lengths
We study the geometry of compact geodesic spaces with trivial first Betti number admitting large finite groups of isometries. We show that if a...
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The Liouville current of holomorphic quadratic differential metrics
In this paper we study the Liouville current of flat cone metrics coming from a holomorphic quadratic differential. Anja Bankovic and Christopher J....
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On ultrametrics, b-metrics, w-distances, metric-preserving functions, and fixed point theorems
In this article, new classes of functions based on new variations of metric-preserving functions are defined. Necessary and sufficient conditions for...
