The abstract promises benchmark wins for the eSapiens RAG platform, but the appendix tables do not contain those numbers and show higher hallucination rates than the baseline.
Pointwise modulus of continuity of the Lyapunov exponent and integrated density of states for analytic multi-frequency quasiperiodic $M(2, \mathbb{C})$ cocycles
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abstract
It is known that the Lyapunov exponent for multifrequency analytic cocycles is weak-H\"older continuous in cocycle for certain Diophantine frequencies, and that this implies certain regularity of the integrated density of states in energy for Jacobi operators. In this paper, we establish the pointwise modulus of continuity in both cocycle and frequency and obtain analogous regularity of the integrated density of states in energy, potential, and frequency.
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eSapiens: A Platform for Secure and Auditable Retrieval-Augmented Generation
The abstract promises benchmark wins for the eSapiens RAG platform, but the appendix tables do not contain those numbers and show higher hallucination rates than the baseline.