Felipe A. Santibáñez-Leal

Berge-Fulkerson Covers, Cycle Double Covers, Flows and Exact Normality Defects of the First Counterexamples to the Petersen Coloring Conjecture

Jaeger's Petersen coloring conjecture (1988), which asserted that every bridgeless cubic graph admits an edge map onto the Petersen graph sending every vertex star onto a vertex star, was refuted in August 2026: Putman exhibited two nonisomorphic 112-vertex counterexamples with S...

Levinson's method in short intervals and simple zeros of the zeta function

For each fixed 1/2 < theta < 1, a uniformly shifted mollified second-moment formula is derived on windows of length T^theta with 0 < nu < min(1/2, 2theta-1, (5theta-2)/6). An exact shifted composite divisor transformation gives a common Mellin multiplier and the rational frequenc...

Levinson's method in short intervals and simple zeros of the zeta function

For each fixed 1/2 < theta < 1, a shifted mollified second-moment formula is derived on intervals of length T^theta for fixed mollifier and differential-operator polynomials, with 0 < nu < min(1/2, (17/33)(2 theta - 1)). The argument combines a signed Gaussian representation, the...

Stronger local overlap certificates and distinct zeros of the Riemann zeta function

We derive a lower asymptotic proportion 30945470743359/36955122080000 = 0.8373797460706156... of distinct nontrivial zeta zeros, relative to zeros counted with multiplicity, by applying Knausgard's mixed-multiplicity Gram argument to Lavery's seven-point local theorem with unequa...

Levinson's method in short intervals and simple zeros of the zeta function

Fix theta between 1/2 and 1. We localize Levinson's method, with Conrey's general operator polynomial Q, to the intervals (T, T+T^theta], for mollifiers of length T^nu with nu less than theta-1/2, by running Young's short proof of the mollified second moment with a weight support...

The Cost of Reliability in Optimal Magnetization Switching: A Longitudinal-Field Front for Van der Waals Magnets

Optimal control theory delivers magnetic-field pulses that reverse a magnetic moment for the least dissipated energy, and recent work shows these pulses reach picosecond, energy-efficient switching in two-dimensional van der Waals magnets. Because the optimal pulse is always perp...

A quadratic family of integral two-torsion classes in a Huneke-Wiegand Koszul presentation

We study an explicit integral Koszul presentation arising in the graded-syzygy analysis of a previously constructed Huneke-Wiegand family. For every integer p>=8, its cokernel contains a direct summand isomorphic to (Z/2)^floor(((p-2)^2+3)/12). The classes are indexed by strictly...

Simple critical zeros in short intervals: stability, parity, localization, and Hilbert compression

For a conjugation-invariant finite multiset, let N count copies, S simple real support, O distinct odd-multiplicity real support, and Q the squared-kernel pair sum. The paper proves the sharp inequality (Q-S)(N-O) >= 2(N-S)^2 by retaining Lamzouri's first Hilbert-subspace dimensi...

Simple critical zeros in short intervals: stability, pressure, parity, and localization

Let C3 = 0.6567752140190419405677628751089899133... be the reproducible rank-three optimized Selberg constant. For every fixed 1/2 < theta < 1, localization of the Selberg detector to (T,T+Ttheta] gives a lower asymptotic proportion (theta-1/2)/(4eC3) of distinct odd-multiplicity...

A quadratic family of integral two-torsion classes in a Huneke-Wiegand Koszul presentation

We study an explicit integral Koszul presentation arising in the graded-syzygy analysis of a previously constructed Huneke-Wiegand family. For every integer p>=8, its cokernel contains a direct summand isomorphic to (Z/2)^floor(((p-2)^2+3)/12). The classes are indexed by strictly...

Simple critical zeros in short intervals: stability, parity, localization, Hilbert compression, and spectral defect

For a conjugation-invariant finite multiset, let N count copies, S simple real support, O distinct odd-multiplicity real support, Q the squared-kernel pair sum, and D(G)=tr Psi_2(G) the retained simple-real Gram spectral defect. The paper proves the finite inequality (Q-S-D(G))(N...

Action-Conditioned Latent Dynamics for Mineral Processing: A World-Model Engine, and a Measured Account of Where It Earns Its Cost

A forecaster maps history to a future. A world model maps history and a proposed action sequence to a distribution over futures. That single difference is what makes counterfactual questions, planning and regime detection expressible at all, and it is the difference this paper is...

Simple critical zeros in short intervals: stability, parity, localization, Hilbert compression, and spectral defect

For a conjugation-invariant finite multiset, let N count copies, S simple real support, O distinct odd-multiplicity real support, Q the squared-kernel pair sum, and D(G)=tr Psi_2(G) the retained simple-real Gram spectral defect. The paper proves the finite inequality (Q-S-D(G))(N...

Action-Conditioned Latent Dynamics for Mineral Processing: A World-Model Engine, and a Measured Account of Where It Earns Its Cost

A forecaster maps history to a future. A world model maps history and a proposed action sequence to a distribution over futures. That single difference is what makes counterfactual questions, planning and regime detection expressible at all, and it is the difference this paper is...

Post-hoc Interpretability of LDA on Hyperspectral Imagery: SHAP Attributions, Counterfactual Topic Flips, and LLM-judge Alignment under Token-Mass-Dispersion Asymmetry

The interpretability claim of LDA-on-HSI rests on the assumption that topic-word distributions are human-readable. This study is restricted to the LDA backbone; the cross-backbone comparison (HDP, ProdLDA, ETM) is the subject of the companion paper P4. We test three orthogonal po...

Beyond Accuracy: A Multi-Axis Evaluation Framework for Interpretable Topic Models on Hyperspectral Imagery

Topic models, in particular Latent Dirichlet Allocation (LDA), have been adapted to hyperspectral imagery (HSI) as a route to interpretable spectral mixtures: each spectral unit (canonically a pixel) becomes a document of quantised band-frequency tokens and the inferred topic-wor...

Which Wordification Matters? A Nineteen-Recipe Sweep of the Interpretable-Topic-Model Framework on Hyperspectral Imagery

The companion paper (P1) introduces a twelve-axis evaluation framework for topic models on hyperspectral imagery and instantiates it on a single canonical wordification recipe (V1, band-frequency tokenisation). This paper asks a different question: how does the choice of wordific...

Which Backbone Picks Which Wordification? A Factorial Study of Topic-Model Families on Hyperspectral Imagery

The companion paper (P3) showed that nineteen wordification recipes (V1-V15, V17-V20) produce measurably different topic bases under a fixed LDA backbone, with no universal winner: V12 (Gaussian-mixture tokens) has the highest mean coherence and topic-label coupling (winning two...

Post-hoc Interpretability of LDA on Hyperspectral Imagery: SHAP Attributions, Counterfactual Topic Flips, and LLM-judge Alignment under Token-Mass-Dispersion Asymmetry

The interpretability claim of LDA-on-HSI rests on the assumption that topic-word distributions are human-readable. This study is restricted to the LDA backbone; the cross-backbone comparison (HDP, ProdLDA, ETM) is the subject of the companion paper P4. We test three orthogonal po...

Leakage-Free Operational Earthquake Forecasting: A Multi-Region CSEP Testbed with Pre-Registered Negative Results and the Horizon-Dependent Value of Geodetic Context

Operational earthquake forecasting (OEF) issues calibrated conditional probabilities of future seismicity; the Epidemic-Type Aftershock Sequence (ETAS) model is its de-facto benchmark, and under fair, prospective, CSEP-style testing no machine-learning temporal point process has...