Paper index
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01
ARR-2026-53CTRKDSP685PT51 · v5 · 2026-08-30
The Schwarzian Bridge in a Single Sigmoid Neuron: Oracle Gram Resolution, Joint Spectral Lexicography, and Spherical Saturation Phases
Lluis Erikssonsingle neuron · sigmoid activation · Schwarzian derivative
Not yet rated9PDF downloads -
02
ARR-2026-7XT7AB8WJP9QPTGT · v1 · 2026-08-13
Certified Localized Weil Positivity Through Support 0.72: Multiband Schur Complements and a Complete Stieltjes Hierarchy
Lluis ErikssonWeil quadratic form · Riemann zeta function · localized operator
Not yet rated6PDF downloads -
03
ARR-2026-6F8XRSBM0J9Q2R2B · v1 · 2026-08-15
All-Field Morse--Bott Stability at Critical Homogeneous Orbits: Half-Grassmann No-Spinodal Rigidity and Exact Jacobi Metastability
Lluis ErikssonMorse--Bott stability · homogeneous orbital potential · Grassmannian
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04
ARR-2026-7H9FAPTBZA897AMJ · v2 · 2026-08-14
Complete Rate–Distortion Phase Diagram of Haar Oriented Two-Planes: One-Change Hypergeometric Coefficients, Unique Coexistence, and No Reentrance
Lluis Erikssonoriented Grassmannian · Pluecker embedding · rate-distortion theory
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05
ARR-2026-6XH6JAS5ZA934A6J · v1 · 2026-08-14
Exact Classical Rate–Distortion for Phase-Lifted Generalized Coherent States: Cartan-Product Laplace Rigidity, Universal Radial Envelopes, and Slater-Determinant Transitions
Lluis Erikssonrate-distortion theory · generalized coherent states · Cartan product
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06
ARR-2026-2MHNZRRJP49Y9SWP · v3 · 2026-08-24
The Exact Rank Floor for Point-Span Tangent Absorption in Arbitrary Characteristic
Lluis Erikssonfat points · symbolic square · arbitrary characteristic
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07
ARR-2026-6WX2JF38WE87GB2M · v1 · 2026-08-14
Algebraic Query Support for Unitary Oracles: Exact Hilbert Laws, Harmonic Spectra, and General-Tester Bounds
Lluis Erikssonquantum query complexity · unitary channel discrimination · Hilbert function
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08
ARR-2026-61Y0FFA39M8KMBJ5 · v1 · 2026-08-13
Complete Rank-Two Born-Prediction Rate–Distortion on Gr_C(2,4): All-Field Matrix–Bingham Rigidity and a Unique Coexistence Transition
Lluis Erikssonmatrix Bingham distribution · complex Grassmannian · rate-distortion theory
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09
ARR-2026-66Q8M61AA196T8BC · v2 · 2026-08-24
Exact Floors and Proper-Span Extremizers for Higher Osculating Absorption
Lluis Erikssonosculating spaces · jet ampleness · fat points
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10
ARR-2026-7X5XX0CBE19MXVSZ · v1 · 2026-08-14
Finite-Sample-Valid Tests for Structured Matricial Hausdorff Moments: Joint Gaussian Grams, Strict Half-Time Separation, and Sharp Tangent-Cone Power
Lluis Erikssonmatricial Hausdorff moment problem · matrix-valued spectral measure · finite-sample hypothesis testing
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11
ARR-2026-7CCV86W3Y59VS8PN · v1 · 2026-08-14
Matroidal Bayes Bounds for General Quantum Process Discrimination: Canonical Compression, Support Congestion, and Exact Qubit Phase Families
Lluis Erikssonquantum process discrimination · quantum testers · Rado matroid
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12
ARR-2026-4FYHCBAQ0T8FHRBT · v1 · 2026-08-25
Prescribed Tjurina Algebras and Complete Spectra in Osculating-Absorbing Gauss Fibres
Lluis ErikssonTjurina algebra · Gauss fibre · osculating absorption
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13
ARR-2026-6M3VGTXZ6W8JW9C9 · v1 · 2026-08-14
Projective Memory and Resonant Bottlenecks in Passive Spectral Routing
Lluis Erikssonrational inner matrix · projective interpolation · McMillan degree
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14
ARR-2026-5QQF95VHTC9GABH8 · v1 · 2026-08-30
Sharp Onset and Unbounded Growth of Norm-Optimal Self-Commutator Rank
Lluis Erikssonself-commutator · inverse commutator · Hilbert--Schmidt norm
4PDF downloads -
15
ARR-2026-5KS70GV7KK9DYA69 · v1 · 2026-08-14
Two-Query Chirality in Tetrahedral Quantum Echoes: Exact Parallel Readout, a Nine-Dimensional Query Defect, and a Certified Adaptive Advantage
Lluis Erikssonquantum channel discrimination · adaptive quantum strategies · quantum combs
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16
ARR-2026-6FDEKPVJ0W8BHBMC · v1 · 2026-08-13
A Finite-Dimensional Nonanalytic Spectral Transition and Exact High-Fidelity Rate–Distortion for Rank-r Born Prediction on Complex Grassmannians
Lluis Erikssonrate-distortion theory · Born prediction · complex Grassmannian
Not yet rated3PDF downloads -
17
ARR-2026-15SJ1ANHDN8D88Z1 · v1 · 2026-08-15
Bayesian Matroid-Union Bounds for Quantum List Discrimination: Support Congestion, Process Compression, and Exact Adaptive-Parallel Phases
Lluis Erikssonquantum list discrimination · state exclusion · matroid union
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18
ARR-2026-7D2BBEC8MJ8BM80S · v1 · 2026-08-15
Cellulation-Independent Boundary Gauge Averaging and Sharp Class-Sector Gaps in Two-Dimensional Yang--Mills
Lluis Erikssontwo-dimensional Yang--Mills · compact Lie group · heat kernel
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19
ARR-2026-5XEX8EX0629R997Y · v2 · 2026-08-25
Euler-Reduced Tjurina Floors for Osculating-Absorbing Gauss Fibres
Lluis ErikssonTjurina number · Euler identity · Gauss map
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20
ARR-2026-1D2QYXPCVY9H7ANB · v1 · 2026-08-13
Exact Rate–Distortion Theory for Complex-Projective Born Prediction: Finite-Dimensional Bingham Frontiers, Thermodynamic Coexistence, and Worst-State Capacity
Lluis ErikssonBorn probability · rate–distortion theory · complex projective space
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21
ARR-2026-77QM18J2KG9679B7 · v1 · 2026-08-13
Finite-Sample Spectral-Gap Falsification: Exact Weighted Visibility Minimax, Hidden-Atom LAN, and Honest Dependent Tests
Lluis Erikssonspectral-gap falsification · Euclidean correlators · truncated moment problem
Not yet rated3PDF downloads -
22
ARR-2026-1D2QV1RP1292JREW · v1 · 2026-08-30
Sharp Rank-Adaptive Bounds for Inverse Self-Commutators
Lluis Erikssonself-commutator · inverse commutator · Hilbert--Schmidt norm
3PDF downloads -
23
ARR-2026-3H0ZKWJMH18MH9FX · v1 · 2026-08-24
Strictly Scalable Exterior Decoders for Quantum Lists: Exact Full-Spark Widths and Fixed-Probe Weyl Bayes Curves
Lluis Erikssonquantum list discrimination · learning width · factor width
Not yet rated3PDF downloads -
24
ARR-2026-6DJ302B1G38V4SHD · v1 · 2026-08-14
Universal Semiclassical Coexistence in Classical Compression of Phase-Lifted Coherent States: Dimension-Normalized Contacts and a Matched High-Fidelity Boundary Layer
Lluis Erikssonclassical rate-distortion · generalized coherent states · semiclassical highest-weight limit
Not yet rated3PDF downloads -
25
ARR-2026-4NC14QTZMT8708NN · v1 · 2026-09-05
A complete one-state error–delay law for asymmetric three-node routing
Lluis Erikssonpassive spectral routing · rational inner functions · peak delay
Not yet rated2PDF downloads -
26
ARR-2026-19BXX42GM38K6VZ3 · v1 · 2026-08-24
Characteristic-Free Bounds and Sharp Gauss-Fiber Examples for Point-Span Tangent Absorption
Lluis ErikssonGauss map · tangent absorption · first jets
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27
ARR-2026-263B0753CQ9J2T34 · v1 · 2026-08-15
Exact Branch Rigidity and Unique Crossing in Grassmann Matrix--Bingham Free Energies: Finite Certification, All-Field Gr_C(3,6) and Gr_C(4,8) Two-Block Order, and a Gr_C(2,5) Exchange Theorem
Lluis ErikssonGrassmannian · matrix--Bingham distribution · orbital Laplace transform
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28
ARR-2026-52B6MSS1W197W9T2 · v1 · 2026-08-13
Exact Memory of Finite Spectral Routing Tables: The Direct-Sum Occupancy Law and Its Singular Strata
Lluis Erikssonrational inner matrix · McMillan degree · detector-rank hierarchy
Not yet rated2PDF downloads -
29
ARR-2026-0WAPCGQHNC82S8VJ · v1 · 2026-08-24
Exact Multiplicity Floors for Dual Singularities from Absorbing Gauss Fibres
Lluis Erikssonprojective duality · Gauss map · dual multiplicity
Not yet rated2PDF downloads -
30
ARR-2026-2MZWECWVEN97ARVQ · v1 · 2026-08-25
Fat Gauss Fibres and Tjurina–Milnor Defects Forced by Osculating Absorption
Lluis Erikssonprojective duality · Gauss map · Tjurina number
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31
ARR-2026-7NPRNBW4488HG90K · v1 · 2026-08-30
One-Spike Inverse Self-Commutators and Exact Three-versus-Four-Kick Curvature Synthesis
Lluis Erikssonself-commutator · inverse commutator · Hilbert--Schmidt norm
2PDF downloads -
32
ARR-2026-54Q3HMFJ0Z8CZB4T · v1 · 2026-09-05
Polynomial vertex reduction and optimal stability at balanced inertia (4,4)
Lluis Erikssoninverse self-commutator · balanced inertia · sharp stability
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33
ARR-2026-24M24KDPZK8HDBQ9 · v1 · 2026-09-05
Sharp inertia ceilings and optimal stability for inverse self-commutators
Lluis Erikssoninverse self-commutator · Hilbert--Schmidt norm · inertia
Not yet rated2PDF downloads -
34
ARR-2026-0WESHW4YMM9FG8EK · v1 · 2026-09-05
Three-term Weyl operators: central multiplicities, rank laws, and exact list decoding
Lluis ErikssonWeyl operators · sparse rank · prime-power dimension
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35
ARR-2026-2PB36YR0B89WSB71 · v1 · 2026-07-14
A Machine-Checked Exact Evaluation of the Two-Dimensional SU(2) Heat-Kernel Lattice Model on Certified Finite Combinatorial Disk Cellulations: From Haar Measure to Conditioned Original-Edge Amplitudes
Lluis ErikssonMathematical Physics
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36
ARR-2026-3AJ7W5BS3N9VR8KM · v1 · 2026-07-12
A Machine-Checked Proof of an Amos-Type Bound for Modified Bessel Ratios at Real Order
Lluis ErikssonMathematical Physics
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37
ARR-2026-17K7KRR6NH9ZVAEJ · v1 · 2026-07-12
A Machine-Checked Proof of the Amos Bound for Modified Bessel Function Ratios
Lluis ErikssonMathematical Physics
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38
ARR-2026-10JJK0VCCS87VTQH · v1 · 2026-07-27
A Machine-Checked Reflection-Positivity Framework for Z_N Lattice Gauge Theory, with the Z_2 Wilson Instance
Lluis ErikssonMathematical Physics
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39
ARR-2026-5SGNYDASRB9V9VF9 · v1 · 2026-07-30
A Machine-Checked Thermodynamic Limit for Local Lattice Gauge Gibbs States
Lluis ErikssonMathematical Physics
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40
ARR-2026-2ZQ6F57N2H8MG91V · v1 · 2026-07-02
A Machine-Checked Volume-Uniform Wilson-Loop Area Law via a Formalized Cluster Expansion
Lluis ErikssonMathematical Physics
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41
ARR-2026-70YEZS0RW882CVNM · v1 · 2026-07-02
A Machine-Verified Bijective Proof of the Rooted Child-Factorial Catalan Identity over Spanning Trees of the Complete Graph
Lluis ErikssonMathematical Physics
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42
ARR-2026-0WG9YDY5BA9S3RF4 · v1 · 2026-07-14
A Mechanized, Non-Circular Renormalization-Group Interface for Wilson Lattice Gauge Correlators
Lluis ErikssonMathematical Physics
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43
ARR-2026-7RASMSMHWW8PM9S8 · v1 · 2026-01-11
A Non-Gaussian Clustering-Recovery Bridge via Conditional Mutual Information: Interacting Gibbs States, Explicit Petz Benchmarks, and a Conditional Link to Entanglement Wedge Reconstruction
Lluis ErikssonQuantum Physics
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44
ARR-2026-11MS45KY8Q8YTSN6 · v1 · 2026-02-19
A Source-Mapped Terminal KP Bound and a Conditional Clay Checklist for the 4D SU(N) Yang-Mills Programme
Lluis ErikssonMathematical Physics
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45
ARR-2026-72G1SSCNNG8YDVC2 · v1 · 2026-07-09
A Weighted Turan-Type Monotonicity Lemma for Modified Bessel Functions via the Calibrated Amos Bound, with an Application to the Ordering of a Surface Expansion in Two-Dimensional Lattice Gauge Theory
Lluis ErikssonMathematical Physics
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46
ARR-2026-7R7V1N2Y1K877A8T · v1 · 2026-01-28
Algebraic Entropy and Conditional Mutual Information in a Tiny Gauge-Invariant Truncated Hilbert Space: A Reproducible Toy-Model Study with Effective Mixing Hamiltonians
Lluis ErikssonQuantum Physics
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47
ARR-2026-6GVNY9YDSY8V9B86 · v1 · 2026-02-17
Almost Reflection Positivity for Gradient-Flow Observables via Gaussian Localization in Lattice Yang-Mills Theory
Lluis ErikssonMathematical Physics
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48
ARR-2026-4F7SF8FXM18ANAXH · v1 · 2026-08-10
Architecture-Dependent Decoherence Suppression in Passive Quantum Networks: Irreducible Channel Mixing, Squared Rate Gaps, and the Price in Dwell Time
Lluis ErikssonQuantum Physics
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49
ARR-2025-6NR077ZRZ19NJ8RG · v1 · 2025-12-31
Beyond Gaussianity: Extending the Clustering-Recovery Bridge
Lluis ErikssonQuantum Physics
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50
ARR-2026-6M8PMVHTMH8YZ9ND · v1 · 2026-07-28
Blind to the Coupling: a Second Machine-Checked Obstruction at Spatial Extent
Lluis ErikssonMathematical Physics
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