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Invariant Measure for Infinite Weakly Hyperbolic Iterated Function Systems
In this paper we define infinite weakly hyperbolic iterated function systems associated with uniformly Dini continuous weight functions. We study the...
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Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains
We show that particle trajectories for positive vorticity solutions to the 2D Euler equations on fairly general bounded simply connected domains...
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Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra
In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of...
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Pressure, Intermittency, Singularity
We give conditions for regularity of solutions of three dimensional incompressible Navier–Stokes equations based on the pressure and on structure...
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Euler Equations on General Planar Domains
We obtain a general sufficient condition on the geometry of possibly singular planar domains that guarantees global uniqueness for any weak solution...
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On the Derivation of Mean-Field Percolation Critical Exponents from the Triangle Condition
We give a new derivation of mean-field percolation critical behaviour from the triangle condition that is quantitatively much better than previous...
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Shannon Entropy Rate of Hidden Markov Processes
Hidden Markov chains are widely applied statistical models of stochastic processes, from fundamental physics and chemistry to finance, health, and...
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Building Kohn–Sham Potentials for Ground and Excited States
We analyze the inverse problem of Density Functional Theory using a regularized variational method. First, we show that given k and a target density
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Lipschitz Bounds and Nonautonomous Integrals
We provide a general approach to Lipschitz regularity of solutions for a large class of vector-valued, nonautonomous variational problems exhibiting...
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Measurement of the Higgs boson inclusive and differential fiducial production cross sections in the diphoton decay channel with pp collisions at \( \sqrt{s} \) = 13 TeV
The measurements of the inclusive and differential fiducial cross sections of the Higgs boson decaying to a pair of photons are presented. The...
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On the Emergent Dynamics of the Infinite Set of Kuramoto Oscillators
We propose an infinite Kuramoto model for a countably infinite set of Kuramoto oscillators and study its emergent dynamics for two classes of network...
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Interfacial fluid flow for systems with anisotropic roughness
Abstract.I discuss fluid flow at the interface between solids with anisotropic roughness. I show that the Bruggeman effective medium theory and the...
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Search for resonant and nonresonant production of pairs of dijet resonances in proton-proton collisions at \( \sqrt{s} \) = 13 TeV
A search for pairs of dijet resonances with the same mass is conducted in final states with at least four jets. Results are presented separately for...
