LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
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Krylov complexity growth distinguishes phase-dependent resilience of Carrollian sectors in all-bands-flat fermionic ladders against delocalizing perturbations and exhibits UV sensitivity in a continuum Carroll scalar field with gradient deformation.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
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Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
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Krylov Complexity: Flat bands and Carroll breaking deformations
Krylov complexity growth distinguishes phase-dependent resilience of Carrollian sectors in all-bands-flat fermionic ladders against delocalizing perturbations and exhibits UV sensitivity in a continuum Carroll scalar field with gradient deformation.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.