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Zagreb connection indices in structure property modelling
One of the major branches of mathematical chemistry is the chemical graph theory that employs graph invariants to demonstrate chemical phenomena...
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Optimal bounds for Neumann eigenvalues in terms of the diameter
In this paper, we obtain optimal upper bounds for all the Neumann eigenvalues in two situations (that are closely related). First we consider a...
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A Large Class of Dendrite Maps for Which Möbius Disjointness Property of Sarnak is Fulfilled
We give a simple proof that any dendrite map for which the set of endpoints is closed and countable fulfilled Sarnak Möbius disjointness. We further...
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Strong Diameter Two Property and Convex Combinations of Slices Reaching the Unit Sphere
We characterise the class of those Banach spaces in which every convex combination of slices of the unit ball intersects the unit sphere as the class...
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On Quantum States with a Finite-Dimensional Approximation Property
AbstractWe consider a class (convex set) of quantum states containing all finite rank states and infinite rank states with the sufficient rate of...
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Daugavet property in projective symmetric tensor products of Banach spaces
We show that all the symmetric projective tensor products of a Banach space X have the Daugavet property provided X has the Daugavet property and...
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The Coarse ℓp-Novikov Conjecture and Banach Spaces with Property (H)
In this paper, for 1 < p < ∞, the authors show that the coarse ℓ p -Novikov conjecture holds for metric spaces with bounded geometry which are coarsely...
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On the Eventual Shadowing Property and Eventually Shadowable Point of Set-valued Dynamical Systems
The authors introduce the concepts of the eventual shadowing property and eventually shadowable point for set-valued dynamical systems and prove that...
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G-index, topological dynamics and the marker property
Given an action of a finite group G on a topological space, we can define its index. The G -index roughly measures a size of the given G -space. We...
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Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property
This work discusses parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with an extra monotone geodesic property. The main...
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Lowest Eigenvalue Asymptotics in Strong Magnetic Fields with Interior Singularities
We discuss the strong field limit for the lowest eigenvalue of the magnetic Laplacian, in two dimensional domains, when the magnetic field has... -
Stability of two-dimensional steady Euler flows with concentrated vorticity
In this paper, we study the stability of two-dimensional steady Euler flows with sharply concentrated vorticity in a bounded domain. These flows are...
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Bounded Diameter Under Mean Curvature Flow
We prove that for the mean curvature flow of closed embedded hypersurfaces, the intrinsic diameter stays uniformly bounded as the flow approaches the...
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Comparison radius and mean topological dimension: Rokhlin property, comparison of open sets, and subhomogeneous C*-algebras
Let ( X , Γ) be a free minimal dynamical system, where X is a compact separable Hausdorff space and Γ is a discrete amenable group. It is shown that,...
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Strong stochastic flocking with noise under long-range fat tail communication
Consider the reality that flocking behavior is affected by random noise. We study the Cucker–Smale-type systems with multiplicative noise where the...
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Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions
We consider incompressible Navier–Stokes equations in a bounded 2D domain, complete with the so-called dynamic slip boundary conditions. Assuming...
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Beyond Helly Graphs: The Diameter Problem on Absolute Retracts
A subgraph H of a graph G is called a retract of G if it is the image of some idempotent endomorphism of G. We say that H is an absolute retract of... -
A generalized tetrahedral property
We present examples of metric spaces that are not Riemannian manifolds nor dimensionally homogeneous that satisfy Sormani’s Tetrahedral Property. We...
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On the weak and strong convergence of modified forward-backward-half-forward splitting methods
This paper investigates two modified forward-backward-half-forward splitting methods for solving three-operator monotone inclusion problems. The...