Topological quantum critical points exhibit anomalous dynamical scaling in boundary dynamics and defect production due to edge modes, beyond conventional Kibble-Zurek scaling.
Wimmer, Algorithm 923: Efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices , ACM Trans
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An algebraic approach defines semi-algebraic parameter sets from underlying polynomial structures in evolutionary processes before likelihood maximization, showing compatibility with existing statistical EvAM models while adding parameter-space information.
The paper presents performant parallel CPU implementations of tridiagonal factorization for skew-symmetric matrices that exceed prior work via FLAME-derived algorithms and BLIS optimizations.
Case study applying Chebfun's Chebyshev-based methods to Richards' equation shows explicit linearization and L-scheme overcome Newton convergence failures of chebop for accurate 1D steady-state solutions.
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An Algebraic Approach to Evolutionary Accumulation Models
An algebraic approach defines semi-algebraic parameter sets from underlying polynomial structures in evolutionary processes before likelihood maximization, showing compatibility with existing statistical EvAM models while adding parameter-space information.