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Chaos-Based Image Encryption: Review, Application, and Challenges
Mathematics, 2023 Chaos has been one of the most effective cryptographic sources since it was first used in image-encryption algorithms. This paper closely examines the development process of chaos-based image-encryption algorithms from various angles, including symmetric
Bowen Zhang, Lingfeng Liu
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The Mott transition as a topological phase transition [PDF]
Physical Review B, 2020 We show that the Mott metal-insulator transition in the standard one-band Hubbard model can be understood as a topological phase transition. Our approach is inspired by the observation that the mid-gap pole in the self-energy of a Mott insulator resembles the zero-energy spectral pole of the localized surface state in a topological insulator.
Sudeshna Sen +2 more
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Aspects of Topological String Theory [PDF]
, 2008 Two aspects of the topological string and its applications are considered in this thesis. Firstly, non-perturbative contributions to the OSV conjecture relating four-dimensional extremal black holes and the closed topological string partition function ...
Cook, Paul Langabi Hogan
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Grain-boundary topological phase transitions [PDF]
Proceedings of the National Academy of Sciences, 2020 Significance We reveal the existence of a topological phase transition (Kosterlitz–Thouless type) in grain boundaries (GBs)—important internal surfaces in crystalline materials. GB dynamics are controlled by the formation/migration of line defects (disconnections) with dislocation and step character.
Kongtao Chen +2 more
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Topology and Phase Transitions: Paradigmatic Evidence [PDF]
Physical Review Letters, 2000 We report upon the numerical computation of the Euler characteristic χ(a topologic invariant) of the equipotential hypersurfaces Σ_v of the configuration space of the two-dimensional lattice $ϕ^4$ model. The pattern χ(Σ_v) vs. v (potential energy) reveals that a major topology change in the family {Σ_v}_{v\in R} is at the origin of the phase transition
Franzosi, R., Pettini, M., Spinelli, L.
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Induced Representation Method in the Theory of Electron Structure and Superconductivity
Advances in Mathematical Physics, 2019 It is shown that the application of theorems of induced representations method, namely, Frobenius reciprocity theorem, transitivity of induction theorem, and Mackey theorem on symmetrized squares, makes simplifying standard techniques in the theory of ...
V. G. Yarzhemsky
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Loss-Driven Topological Transitions in Lasing
Physical Review Letters, 2022 We experimentally observe lasing in a hexamer plasmonic lattice and find that when tuning the scale of the unit cell, the polarization winding of the emission changes. By a theoretical analysis we identify the lasing modes as quasi bound states in continuum (quasi-BICs) of topological charges of zero, one or two.
Heilmann, Rebecca +6 more
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Effects of spin symmetry breaking in topological insulators [PDF]
, 2015 Topological insulators are one of the most thoroughly investigated systems in condensed matter physics over the last years. In these systems, a prominent role is inevitably taken by time-reversal symmetry, which leads to Kramers theorem and symmetry ...
Orth, Christoph
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Metric Semigroups and Groups of Multisets
Researches in MathematicsWe investigate the algebraic and topological properties of sets of complex multisets associated with Banach spaces having symmetric bases. We consider algebraic structures on the sets of multisets and compare some natural metrics on the (semi)groups of ...
D.Y. Dolishniak, A.V. Zagorodnyuk
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Transitivity for height versus speed: To what extent do the under-7s really have a transitive capacity? [PDF]
, 2011 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2011 Psychology Press.Transitive inference underpins many human reasoning competencies.
Lucy Hadfield +5 more
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