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A Perron–Frobenius type result in Banach algebras via asymptotic closeness to a cone
For an element a of a Banach algebra (scaled to spectral radius 1) we prove that the spectral radius is contained in the spectrum, if the sequence of...
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Asymptotic behavior of some cone-valued infinitely divisible stochastic process through projection
Let ( Y t ) t >0 be a stochastic process on a proper cone K associated with a family of distributions ( ℱ t ) t >0 . We investigate the asymptotic behavior of...
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On the speed of convergence to the asymptotic cone for non-singular nilpotent groups
We study the speed of convergence to the asymptotic cone for a finitely generated nilpotent group endowed with a word metric. The first result on...
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No semistability at infinity for Calabi-Yau metrics asymptotic to cones
We discover a “no semistability at infinity” phenomenon for complete Calabi-Yau metrics asymptotic to cones, which is proved by eliminating the...
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Smooth and Discrete Cone-Nets
Cone-nets are conjugate nets on a surface such that along each individual curve of one family of parameter curves there is a cone in tangential...
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Study of hybrid nanofluid flow in a stationary cone-disk system with temperature-dependent fluid properties
Cone-disk systems find frequent use such as conical diffusers, medical devices, various rheometric, and viscosimetry applications. In this study, we...
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A Markovian and Roe-algebraic approach to asymptotic expansion in measure
In this paper, we conduct further studies on geometric and analytic properties of asymptotic expansion in measure. More precisely, we develop a...
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Motion of a Rigid Body with Frontal Cone in a Resistive Medium: Qualitative Analysis and Integrability
We consider a mathematical model of the plane-parallel action of a medium on a rigid body whose surface contains a cone-shaped being part. A complete...
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State-Dependent Sweeping Processes: Asymptotic Behavior and Algorithmic Approaches
In this paper, we investigate the asymptotic properties of a particular class of state-dependent sweeping processes. While extensive research has...
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On the Available Local Asymptotic Efficiency of some Goodness-of-fit Criteria
The concept of local asymptotic Bahadur optimality for a sequence of statistics is well known. The following problem was posed, and in many cases...
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Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds
This paper studies sharp and rigid isoperimetric comparison theorems and asymptotic isoperimetric properties for small and large volumes on N -dimensio...
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The geometry of discrete asymptotic-geodesic 4-webs in isotropic 3-space
The geometry of webs has been investigated over more than a century driven by still open problems. In our paper we contribute to extending the...
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Rotational Symmetry of Solutions of Mean Curvature Flow Coming Out of a Double Cone
We show that any smooth solution to the mean curvature flow equations coming out of a rotationally symmetric double cone is also rotationally...
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Analysis of an unsteady triple diffusion through quadratic Boussinesq approximation from a rotating cone in a rotating fluid
The objective of current communication is to explore the triple diffusive mixed flow with the fluid rotation on a rotating cone in an unsteady...
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Asymptotic Completeness for Many-Body Systems
We prove the asymptotic completeness for the N-body system. We start by observing spectral properties of the Hamiltonian for atoms. We then explain... -
Self-expanders to the mean curvature flow based on the generalized Lawson–Osserman cone
We derive the equation of self-similar solutions to mean curvature flow based on the generalized Lawson–Osserman cone and prove the existence of...
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Necessary Conditions in Infinite-Horizon Control Problems that Need no Asymptotic Assumptions
We consider an infinite-horizon optimal control problem with an asymptotic terminal constraint. For the weakly overtaking criterion and the...
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Asymptotic Geometric Analysis: Achievements and Perspective
The reader will have noticed the non-standard appearance of this piece. Indeed, we are used to reading papers which are either survey papers or...