Establishes discrete log-concavity of ground states for convex potentials and extends Reichardt's HWS tunneling analysis to quadratic spikes via new spectral gap bounds.
Poisson Process Approximations for the Ewens Sampling Formula
11 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 11representative citing papers
Introduces a novel exclusion process with mass and energy conservation and proves convergence of fluctuation fields to uncoupled stochastic Burgers equations for suitable parameters.
For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
Transpose-invariant spectral diagnostics on attention operators are orientation-blind, and a φ-G two-axis diagnostic distinguishes hallucination modes with 0.62-0.84 LC-AUROC and predicted polarity reversal.
PageRank on undirected multi-type PAMs satisfies the power-law hypothesis with color-dependent exponents for finite colors under certain initial color distributions and attractiveness functions.
Develops a constrained optimization framework for position-independent irreversible perturbations of ULA that yields an explicit optimal design accounting for both spectral-gap mixing and weighted jump-distance bias.
The singular-value gap of a nonreversible Markov generator bounds finite-time variance of empirical averages uniformly over L2 functions and implies solvability of the Poisson equation when positive.
The historical sequence of papal names is consistent with a random-copying process with innovation, as predicted by Ewens sampling theory and the Chinese restaurant process.
In finite-depth random linear optical circuits, entanglement grows at most diffusively and robust circuit complexity scales similarly, with depth bounds ensuring near-maximal subsystem entanglement and closeness to Haar unitaries.
Presents Block-Shifted CR algorithm using SVD and deflation to extend convergence of cyclic reduction for quadratic matrix equations with multiple unit-circle eigenvalues.
Four controlled identical realizations of a galaxy-cluster zoom-in simulation reveal 10-25% variability in galaxy masses driven by stochastic processes and modulated by feedback, establishing a noise-dominated but statistically reproducible regime at low resolution.
citing papers explorer
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Log-concavity and tunneling: adiabatic quantum optimization for convex functions (with a spike)
Establishes discrete log-concavity of ground states for convex potentials and extends Reichardt's HWS tunneling analysis to quadratic spikes via new spectral gap bounds.
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Stationary fluctuations for an exclusion process with mass and energy conservation
Introduces a novel exclusion process with mass and energy conservation and proves convergence of fluctuation fields to uncoupled stochastic Burgers equations for suitable parameters.
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Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting
For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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Self-Attention as Transport: Limits of Symmetric Spectral Diagnostics
Transpose-invariant spectral diagnostics on attention operators are orientation-blind, and a φ-G two-axis diagnostic distinguishes hallucination modes with 0.62-0.84 LC-AUROC and predicted polarity reversal.
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Power-law hypothesis and (un)fairness of PageRank on undirected multi-type PAMs
PageRank on undirected multi-type PAMs satisfies the power-law hypothesis with color-dependent exponents for finite colors under certain initial color distributions and attractiveness functions.
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Optimizing Irreversible Perturbations of the Unadjusted Langevin Algorithm
Develops a constrained optimization framework for position-independent irreversible perturbations of ULA that yields an explicit optimal design accounting for both spectral-gap mixing and weighted jump-distance bias.
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Singular-value gap of nonreversible Markov processes
The singular-value gap of a nonreversible Markov generator bounds finite-time variance of empirical averages uniformly over L2 functions and implies solvability of the Poisson equation when positive.
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Quo nomine vis vocari? A random-copying model explains the temporal sequence of papal names
The historical sequence of papal names is consistent with a random-copying process with innovation, as predicted by Ewens sampling theory and the Chinese restaurant process.
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Entanglement and circuit complexity in finite-depth random linear optical networks
In finite-depth random linear optical circuits, entanglement grows at most diffusively and robust circuit complexity scales similarly, with depth bounds ensuring near-maximal subsystem entanglement and closeness to Haar unitaries.
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A Block-Shifted Cyclic Reduction Algorithm for Solving a Class of Quadratic Matrix Equations
Presents Block-Shifted CR algorithm using SVD and deflation to extend convergence of cyclic reduction for quadratic matrix equations with multiple unit-circle eigenvalues.
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Variability in Cosmological Hydrodynamical Simulations: how Stochastic Processes, Numerical Effects, and Reproducibility Limits impact Predictability
Four controlled identical realizations of a galaxy-cluster zoom-in simulation reveal 10-25% variability in galaxy masses driven by stochastic processes and modulated by feedback, establishing a noise-dominated but statistically reproducible regime at low resolution.