Discover graphene, MXenes and nanosheets in this special issue of International Journal of Modern Physics B. Explore research on synthesis and applications in photodetectors, transistors and supercapacitors. Free to read until 31 December 2026.
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How could quantum AI tackle complex collider data? Explore a review of quantum gates, quantum annealing and quantum-inspired approaches to pattern recognition in high-energy physics.
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The paper investigates subspace entropies, their fundamental properties, and relationships with relative entropy and modular theory in quantum field theory and operator algebras.
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What shapes our Universe? Explore dark matter, dark energy, black holes and gravity in a special issue of the International Journal of Modern Physics A, featuring peer-reviewed research on classical and quantum cosmology.
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Explore the c-differential spectrum of a power function over finite fields of odd characteristics. Using combinatorics, number theory and elliptic curves, this study identifies low-uniformity cases and conditions for almost perfect c-nonlinearity.
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This paper Investigates periods and absolute zeta functions of Grover quantum walks on cycle graphs, establishing period formulas and computing zeta functions for finite-period M-type walks.
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How can fractional calculus shed light on Nipah virus transmission? Explore a SIRD model using piecewise Caputo derivatives to analyse disease dynamics, the basic reproduction number and solution stability. Read the full article for free.
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This paper characterizes weights ensuring pointwise convergence of heat semigroups and their subordinated families on homogeneous trees.
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Nonexistence of solutions for a sequential time-fractional Klein–Gordon equation with quadratic nonlinearity is established using Caputo derivatives and an appropriate test function method.
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This paper Proposes a special-relativistic uncertainty principle using particle worldline crossings, exploring Planck-scale effects and potential experimental tests at intermediate velocities.
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This paper investigates X-circuits and Y-circuits in quantum circuit synthesis, describing the XU(n) and YU(n) subgroups of U(n) through line-sum and weighted line-sum conditions.
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Fractional memory enriches nonlinear wave behaviour. Explore exact bright, dark and kink soliton solutions, with numerical analysis revealing how fractional order shapes wave amplitude and localisation. Read the full article for free.
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This paper examines local unitary equivalence of bipartite diagonal quantum states, classifies local permutation equivalence in two low-dimensional systems, and supports their equivalence conjecture.
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This Paper Reviews CDM structure formation, small-scale cosmological challenges, self-interacting dark matter models, and observational constraints on dark matter interactions, especially in galaxy clusters.
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This study establishes global existence and uniqueness for a coupled compressible Euler–Schrödinger system under smallness and spectral assumptions. It also derives algebraic time-decay estimates for solutions with fractional Sobolev regularity.
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This study examines reflected SDEs driven by standard and fractional Brownian motion, establishing weak existence, pathwise uniqueness, and strong solutions for additive noise, with partial results for multiplicative noise.
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How do purity and injectivity behave under trivial ring extensions? Explore pure projective, pure injective and FP-injective modules, with applications to Morita context rings. Read the full article for free.
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This paper Studies how spatially modulated scalar fields affect phonon propagation, sound speed, and condensate rigidity in superfluid dark matter, exploring implications for dark matter core structure.
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This paper reviews algebraic learning theory, exploring the connections between statistical mechanics and machine learning, singular random Hamiltonians, phase transitions, generalization errors, and theoretical foundations for AI alignment.
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This paper derives generalized fractional kinetic equation solutions using Laplace transforms and the Yang–Yu W-function, including incomplete W-functions and special cases involving classical functions.
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