Establishes PPAD-hardness for (1-δ)-optimal bundle competitive equilibria in SPLC Fisher markets assuming PCP-for-PPAD conjecture, and proves the conjecture is required for hardness in this market class.
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15 Pith papers cite this work. Polarity classification is still indexing.
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Graphical Algebraic Geometry creates universal diagrammatic languages for commutative algebras and affine varieties that also characterize the qudit ZH calculus for quantum computation.
Phase-field peridynamics degrades bond energies continuously via a bond phase-field parameter while using kinematic degradation to preserve nonlocal deformation gradient accuracy, with an analytically derived normalization constant for thermodynamic consistency.
New algorithm computes holonomic submodule of partial Weyl closure via non-commutative Rabinowitsch trick, implemented in Julia with reported speedups over Singular and Macaulay2.
Monte-Carlo simulations with an ML potential demonstrate that coherency strain removes the Ag-Cu miscibility gap in Ag_xCu_{1-x}GaSe2, producing complete mixing.
Volumetric growth in linear elasticity is cast as a constrained optimization problem that determines the growth tensor at each step while satisfying equilibrium, mass balance, and irreversibility.
Derives exact distributions for two-step restricted-angle 2D random walks, numerical solutions for general steps, large-step approximations, and exact support characterization.
Relativistic SOC corrections to the magnetic moment operator create an abnormal magnetic moment, render spin-orbital decomposition ambiguous, and require a new Kubo formula for the kinetic magnetoelectric effect that includes noncommuting position and partial-B operators.
Monolayer NaCrTe2 shows scattering inversion from POP to ADP due to enhanced dielectric screening and lattice softening from dimensional confinement.
Simulations using a Swelling & Random Migration algorithm and finite element homogenization show clustered fiber distributions increase transverse stiffness by up to 20% but reduce tensile strength compared to equilibrium distributions, with mean nearest neighbor distance linearly predicting both pr
Generalized Markov operators on deficient topological measures admit unique invariants under Kantorovich-Rubinstein contractions; a new equivariant generalized sample median is introduced; topological measures on spaces of covering dimension at most 1 coincide with Radon measures.
Hydrogen trapping at the α-Al2O3(0001)/Fe(110) interface is concentration-dependent and reduces cleavage energy until it becomes negative at high concentrations, predicting spontaneous decohesion.
The paper constructs asymptotic expansions for one-phase and two-phase soliton-like and peakon-like solutions of the variable-coefficient Camassa-Holm equation with small dispersion and proves their asymptotic accuracy.
Existence of solutions is shown for the third operator of the Connaughton-Newell model when the interaction kernel is constant and the source term is well-behaved.
TF-1 lead glass shows strong optical degradation after 5.6×10^14 20 MeV electrons while PbWO4 remains largely unaffected after an additional 2.1×10^15 electrons, with thermal annealing increasing transmittance.
citing papers explorer
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Phase-Field Peridynamics
Phase-field peridynamics degrades bond energies continuously via a bond phase-field parameter while using kinematic degradation to preserve nonlocal deformation gradient accuracy, with an analytically derived normalization constant for thermodynamic consistency.
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Modelling the effect of fiber distribution on the transverse mechanical characteristics of unidirectionally reinforced continuous-fiber composite
Simulations using a Swelling & Random Migration algorithm and finite element homogenization show clustered fiber distributions increase transverse stiffness by up to 20% but reduce tensile strength compared to equilibrium distributions, with mean nearest neighbor distance linearly predicting both pr