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
9PDF 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
6PDF downloads -
03
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
5PDF downloads -
04
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
5PDF downloads -
05
ARR-2026-7H9FAPTBZA897AMJ · v2 · 2026-08-14
Complete Rate–Distortion Phase Diagram of Haar Oriented Two-Planes: One-Change Hypergeometric Coefficients, Unique Coexistence, No Reentrance, and Sharp Thermodynamic Contact Asymptotics
Lluis Erikssonoriented Grassmannian · Pluecker embedding · rate-distortion theory
5PDF downloads -
06
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
5PDF downloads -
07
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
5PDF downloads -
08
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
5PDF downloads -
09
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
4PDF downloads -
10
ARR-2026-66Q8M61AA196T8BC · v2 · 2026-08-24
Exact Floors and Proper-Span Extremizers for Higher Osculating Absorption
Lluis Erikssonosculating spaces · jet ampleness · fat points
4PDF downloads -
11
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
4PDF downloads -
12
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
4PDF downloads -
13
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
4PDF downloads -
14
ARR-2026-6M3VGTXZ6W8JW9C9 · v1 · 2026-08-14
Projective Memory and Resonant Bottlenecks in Passive Spectral Routing
Lluis Erikssonrational inner matrix · projective interpolation · McMillan degree
4PDF downloads -
15
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 -
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
3PDF 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
3PDF downloads -
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
3PDF downloads -
19
ARR-2026-5XEX8EX0629R997Y · v2 · 2026-08-25
Euler-Reduced Tjurina Floors for Osculating-Absorbing Gauss Fibres
Lluis ErikssonTjurina number · Euler identity · Gauss map
3PDF downloads -
20
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
3PDF downloads -
21
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
3PDF downloads -
22
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
3PDF downloads -
23
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 -
24
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
3PDF downloads -
25
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
3PDF downloads -
26
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
2PDF downloads -
27
ARR-2026-02AGP452839C09SH · v1 · 2026-09-06
A finite geometry of low-rank three-list Weyl probes in ternary dimensions
Lluis ErikssonWeyl operators · quantum channel discrimination · affine plane
2PDF downloads -
28
ARR-2026-3RH54K4NC58MRSX3 · v2 · 2026-10-11
An exact relaxation optimum in a one-parameter family of four quantum measurement bases
Lluis Erikssonquantum measurement channel · spectral gap · mutually unbiased bases
2PDF downloads -
29
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
2PDF downloads -
30
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
2PDF downloads -
31
ARR-2026-0WAPCGQHNC82S8VJ · v1 · 2026-08-24
Exact Multiplicity Floors for Dual Singularities from Absorbing Gauss Fibres
Lluis Erikssonprojective duality · Gauss map · dual multiplicity
2PDF downloads -
32
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
2PDF downloads -
33
ARR-2026-0S8D4XJMZS9PDV1Z · v1 · 2026-10-17
One calibration query activates a finite adaptive advantage in frozen-versus-renewed dephasing tests
Lluis Erikssonquantum channel discrimination · phase calibration · finite quantum references
2PDF downloads -
34
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 -
35
ARR-2026-6ZJY1SSSJA98WBWX · v1 · 2026-09-06
Optimal stability and all equality cases at balanced inertia (5,5)
Lluis Erikssonself-commutator · Horn inequalities · sharp stability
2PDF downloads -
36
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
2PDF downloads -
37
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
2PDF downloads -
38
ARR-2026-7PEKNEDVH38HV8PX · v1 · 2026-10-15
The arithmetic of sampling static quantum disorder: exact aliases, finite witnesses, and clock robustness
Lluis Erikssonstatic Hamiltonian disorder · dephasing · identifiability
2PDF downloads -
39
ARR-2026-2Z86XAW5F88GQRZ2 · v1 · 2026-09-14
The inverse self-commutator cost at inertia $(m,3)$: tiling certificates, 3×3-block shifts and a padding phase
Lluis ErikssonMathematics · inertia m3
2PDF downloads -
40
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
2PDF downloads -
41
ARR-2026-03PY6WTF258KGSRN · v1 · 2026-09-06
Two-state exact routing: algebraic feasibility and sharp delay-two rigidity
Lluis Erikssonrational inner functions · passive routing · delay
2PDF downloads -
42
ARR-2026-5MAVBFTEF48DX8RT · v1 · 2026-10-16
A complete class of optimal quantum tests for unknown unitary dynamics
Lluis Erikssonquantum channel testing · complete class · Schur-Weyl duality
1PDF downloads -
43
ARR-2026-4E4SJ328XF98BSCJ · v1 · 2026-10-16
A dimension-independent capacity bound for amplified determinants of Hermitian matrix tuples
Lluis Erikssonamplified determinant · operator capacity · free probability
1PDF downloads -
44
ARR-2026-68GTBBQT1T83QATJ · v1 · 2026-10-17
A four-qubit criterion for entropy minimax duality: Minimality, sharp Renyi threshold and a W-state counterexample
Lluis Erikssonentropy minimax duality · Renyi entropy · W state
1PDF downloads -
45
ARR-2026-3AJ7W5BS3N9VR8KM · v2 · 2026-09-14
A Machine-Checked Proof of an Amos-Type Bound for Modified Bessel Ratios at Real Order
Lluis ErikssonMathematical Physics
1PDF downloads -
46
ARR-2026-6TQRG7PY6C8JZR2D · v1 · 2026-10-21
A sharp circle-root residual barrier and its collapse with one interior zero
Lluis Erikssoncircle-root polynomial residual · Mathieu ground state · residual barrier
1PDF downloads -
47
ARR-2026-7W8BK4FK779W5ADJ · v1 · 2026-10-21
A sharp polynomial Lyapunov threshold for a stable cubic family
Lluis Erikssonpolynomial Lyapunov function · homogeneous vector fields · stable cubic family
1PDF downloads -
48
ARR-2026-131G33B01486YA04 · v1 · 2026-10-13
A sharp two-rate reset witness against static qutrit disorder
Lluis Erikssonqutrit · static Hamiltonian disorder · Poisson reset
1PDF downloads -
49
ARR-2026-1DGGW5KX2M9R4VJT · v1 · 2026-10-17
A universal capacity bound for amplified determinants and polynomial witnesses in the Hermitian case
Lluis Erikssonamplified determinant · operator capacity · free probability
1PDF downloads -
50
ARR-2026-4VD8FW0NRZ8KGSNZ · v1 · 2026-09-14
All-degree Born rigidity in dimensions four and three: an exact simplex optimum and a certified five-outcome frame
Lluis ErikssonMathematics · born rigidity d4
1PDF downloads