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Ergodic Theorems for Continuous-Time Quantum Walks on Crystal Lattices and the Torus
We give several quantum dynamical analogs of the classical Kronecker–Weyl theorem, which says that the trajectory of free motion on the torus along...
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Deviation of Top Eigenvalue for Some Tridiagonal Matrices Under Various Moment Assumptions
Symmetric tridiagonal matrices appear ubiquitously in mathematical physics, serving as the matrix representation of discrete random Schrödinger...
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A dynamical system analysis of bouncing cosmology with spatial curvature
The present work deals with a FLRW cosmological model with spatial curvature and minimally coupled scalar field as the matter content. The curvature...
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Approximate Controllability of a Coupled Nonlocal Partial Functional Integro-differential Equations with Impulsive Effects
In this work, we study the approximate controllability problem for a system of nonlocal integro-differential equations with impulsive effects. We...
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Effeciency of higher dimensional black holes as particle accelerators
The center-of-mass energy of two colliding particles could be arbitrarily high in the vicinity of event horizons of the extremal Myers-Perry black...
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Cosmological constraints in symmetric teleparallel gravity with bulk viscosity
In this study, we explore the accelerated expansion of the universe within the framework of modified f ( Q ) gravity. The investigation focus on the...
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Bifurcation and Stability Analysis of a Discrete Predator–Prey Model with Alternative Prey
In this paper, we investigate the dynamics of a class of discrete predator–prey model with alternative prey. We prove the boundedness of the...
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Approximate Controllability of Nonlocal Fractional Control System
In this paper, we aim to find a mild solution for a delay control system described by nonlinear fractional evolution differential equations in Banach...
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Isolated Diophantine Numbers
In this note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with the...
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Nineteen Fifty-Four: Kolmogorov’s New “Metrical Approach” to Hamiltonian Dynamics
We review Kolmogorov’s 1954 fundamental paper On the persistence of conditionally periodic motions under a small change in the Hamilton function ...
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Nonassociative Einstein–Dirac–Maxwell systems and R-flux modified Reissner–Nordström black holes and wormholes
We elaborate on a model of nonassociative and noncommutative Einstein–Dirac–Maxwell, EDM, theory determined by star product R-flux deformations in...
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Universal covers of non-negatively curved manifolds and formality
We show that if the universal cover of a closed smooth manifold admitting a metric with non-negative Ricci curvature is formal, then the manifold...
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New Variational Principles of Topological Pressures
We introduce three types of topological pressures and measure-theoretic pressures, present three variational principles between these...
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The Null Controllability of Transmission Wave-Schrödinger System with a Boundary Control
This paper is devoted to investigate the null controllability of the transmission wave-Schrödinger system with only one boundary control. The domain...
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A study of interacting NTADE and SMHDE models via cosmological parameters within rastall gravity
This article explores the characteristics of interacting new Tsallis agegraphic dark energy (NTADE) and Sharma–Mittal holographic dark energy (SMHDE)...
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Spherical orbits around Kerr–Newman and Ghosh black holes
We conduct a comprehensive study on spherical orbits around two types of black holes: Kerr–Newman black holes, which are charged, and Ghosh black...
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Well-Posedness of Mild Solutions for Superdiffusion Equations with Spatial Nonlocal Operators
In this paper, we study the well-posedness for a class of semilinear superdiffusion equations with spatial nonlocal operators. We first establish the...