Necessary and sufficient conditions are given for convergence to a unique IPVT on proper pointed measured metric spaces, with proofs for higher-rank symmetric spaces and Diestel-Leader graphs showing parameter independence and distinguishable cells.
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7 Pith papers cite this work. Polarity classification is still indexing.
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A Lax-Oleinik representation formula is established for nonautonomous Hamilton-Jacobi equations on general networks, yielding unique solutions via an action functional whose minimizers are Lipschitz continuous without excluding the Zeno phenomenon.
Cartesian products of the Sierpiński carpet (and similar self-similar fractals) with itself at least twice do not attain their conformal dimension.
The paper justifies the composite coherence metric in event-based narrative extraction via an information-geometric decomposition on the product manifold and an axiomatic uniqueness proof for the geometric mean.
An algorithmic enumeration method for weighted bi-colored plane trees is developed and applied to compute strong Hurwitz numbers for three-point branch data and the number of connected components in the moduli space of HCMU spheres with one conical singularity.
Weighted topologies on Ran(M) interpolate Hausdorff and final topologies, equip the latter with a complete uniformity, and are conically stratified when M is Riemannian.
Investigates the relationship between long-time Kähler-Ricci flow behavior on asymptotically conical gradient expanders and initial data asymptotics at spatial infinity.
citing papers explorer
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Convergence towards Ideal Poisson--Voronoi tessellations with a focus on Diestel--Leader graphs
Necessary and sufficient conditions are given for convergence to a unique IPVT on proper pointed measured metric spaces, with proofs for higher-rank symmetric spaces and Diestel-Leader graphs showing parameter independence and distinguishable cells.
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Lax-Oleinik formula for nonautonomous Hamilton-Jacobi equations on networks
A Lax-Oleinik representation formula is established for nonautonomous Hamilton-Jacobi equations on general networks, yielding unique solutions via an action functional whose minimizers are Lipschitz continuous without excluding the Zeno phenomenon.
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Cartesian products of Sierpi\'nski carpets do not attain their conformal dimension
Cartesian products of the Sierpiński carpet (and similar self-similar fractals) with itself at least twice do not attain their conformal dimension.
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An Information-Geometric Justification for Composite Coherence in Event-Based Narrative Extraction
The paper justifies the composite coherence metric in event-based narrative extraction via an information-geometric decomposition on the product manifold and an axiomatic uniqueness proof for the geometric mean.
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Counting Weighted Bi-Colored Plane Trees and Their Geometric Applications
An algorithmic enumeration method for weighted bi-colored plane trees is developed and applied to compute strong Hurwitz numbers for three-point branch data and the number of connected components in the moduli space of HCMU spheres with one conical singularity.
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Old and new structures on Ran spaces: Length structures, completeness, and conicality
Weighted topologies on Ran(M) interpolate Hausdorff and final topologies, equip the latter with a complete uniformity, and are conically stratified when M is Riemannian.
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Asymptotic Profiles and Non-Trivial Breathers in Kahler-Ricci Flow
Investigates the relationship between long-time Kähler-Ricci flow behavior on asymptotically conical gradient expanders and initial data asymptotics at spatial infinity.