The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.
Grigor’yan, Heat Kernel and Analysis on Manifolds, volume 47 ofAMS/IP Studies in Advanced Mathematics, AMS
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
SLoD detects emergent scale boundaries in knowledge graphs by applying spectral heat diffusion to Poincare embeddings, recovering planted hierarchies in synthetic data and aligning with taxonomic depths in WordNet without resolution-parameter tuning.
Heat semigroup characterizes total variation for compactly supported BV on arbitrary smooth complete weighted Riemannian manifolds, with a counterexample on some weighted manifold.
citing papers explorer
-
Spectral expansion of LQG heat trace and KPZ scaling
The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.
-
Semantic Level of Detail for Knowledge Graphs: Discovering Abstraction Boundaries via Spectral Heat Diffusion
SLoD detects emergent scale boundaries in knowledge graphs by applying spectral heat diffusion to Poincare embeddings, recovering planted hierarchies in synthetic data and aligning with taxonomic depths in WordNet without resolution-parameter tuning.
-
Sets of finite perimeter on Riemannian manifolds and stochastic completeness
Heat semigroup characterizes total variation for compactly supported BV on arbitrary smooth complete weighted Riemannian manifolds, with a counterexample on some weighted manifold.