Paper Citation Record · LEDGER

Langevin dynamics along the zero set of real-analytic potentials

As of 11 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2608.09840.

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pith.paper-citation-record.v1
2608.09840 v1

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

46 of 46 outbound references displayed

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External citation measurements

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Outbound references

Observation 58ae7447-4c7e-4c09-b216-ae186d045f3a · outbound

This paper cites ockner. Dirichlet forms and generalized S chr\.

Langevin dynamics along the zero set of real-analytic potentials ockner. Dirichlet forms and generalized S chr\

Reference 1

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This paper cites auser Classics. Birkh\.

Langevin dynamics along the zero set of real-analytic potentials auser Classics. Birkh\

Reference 2

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Langevin dynamics along the zero set of real-analytic potentials Unresolved cited work

Reference 3

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Reference 4

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This paper cites Implicit regularization for deep neural networks driven by an O rnstein-- U hlenbeck like process.

Langevin dynamics along the zero set of real-analytic potentials Implicit regularization for deep neural networks driven by an O rnstein-- U hlenbeck like process

Reference 7

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This paper cites Metastability in reversible diffusion processes.

Langevin dynamics along the zero set of real-analytic potentials Metastability in reversible diffusion processes

Reference 8

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This paper cites Metastability in reversible diffusion processes.

Langevin dynamics along the zero set of real-analytic potentials Metastability in reversible diffusion processes

Reference 9

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This paper cites Convergence rates of G ibbs measures with degenerate minimum.

Langevin dynamics along the zero set of real-analytic potentials Convergence rates of G ibbs measures with degenerate minimum

Reference 10

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Observation 52cf14de-21e7-40af-a713-1a5873401d45 · outbound

This paper cites Dynamical versus Bayesian Phase Transitions in a Toy Model of Superposition.

Langevin dynamics along the zero set of real-analytic potentials Dynamical versus Bayesian Phase Transitions in a Toy Model of Superposition

Reference 11

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Reference 12

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Observation 0ab38ea7-7047-413c-ad58-bb7ea5622672 · outbound

This paper cites Drusvyatskiy and M.

Langevin dynamics along the zero set of real-analytic potentials Drusvyatskiy and M

Reference 13

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This paper cites Geometric measure theory, volume Band 153 of Die Grundlehren der mathematischen Wissenschaften.

Langevin dynamics along the zero set of real-analytic potentials Geometric measure theory, volume Band 153 of Die Grundlehren der mathematischen Wissenschaften

Reference 14

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Langevin dynamics along the zero set of real-analytic potentials Unresolved cited work

Reference 15

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Langevin dynamics along the zero set of real-analytic potentials Unresolved cited work

Reference 16

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Observation c7ea62db-054e-4199-b7de-ce7aa57f54af · outbound

This paper cites Freidlin and Alexander D.

Langevin dynamics along the zero set of real-analytic potentials Freidlin and Alexander D

Reference 17

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Observation 65a0915c-8dc6-4fa5-beec-5177fff0f70e · outbound

This paper cites Dirichlet forms and symmetric M arkov processes , volume 19 of De Gruyter Studies in Mathematics.

Langevin dynamics along the zero set of real-analytic potentials Dirichlet forms and symmetric M arkov processes , volume 19 of De Gruyter Studies in Mathematics

Reference 18

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Observation 973f8e0e-eb44-48c3-b1e5-b52d26b749bd · outbound

This paper cites Estimating the Local Learning Coefficient at Scale.

Langevin dynamics along the zero set of real-analytic potentials Estimating the Local Learning Coefficient at Scale

Reference 19

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Langevin dynamics along the zero set of real-analytic potentials Unresolved cited work

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Observation 90ae0f72-5351-47b6-9aa3-24ed4c8bd6d7 · outbound

This paper cites On L evi's problem and the imbedding of real-analytic manifolds.

Langevin dynamics along the zero set of real-analytic potentials On L evi's problem and the imbedding of real-analytic manifolds

Reference 21

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Langevin dynamics along the zero set of real-analytic potentials Heat kernels on weighted manifolds and applications

Reference 22

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Langevin dynamics along the zero set of real-analytic potentials Unresolved cited work

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Langevin dynamics along the zero set of real-analytic potentials HaoChen, Colin Wei, Jason D

Reference 24

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Langevin dynamics along the zero set of real-analytic potentials Resolution of singularities of an algebraic variety over a field of characteristic zero

Reference 25

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Langevin dynamics along the zero set of real-analytic potentials Flat minima

Reference 26

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Langevin dynamics along the zero set of real-analytic potentials Loss landscape degeneracy and stagewise development in transformers

Reference 27

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This paper cites Laplace's method revisited: weak convergence of probability measures.

Langevin dynamics along the zero set of real-analytic potentials Laplace's method revisited: weak convergence of probability measures

Reference 28

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Langevin dynamics along the zero set of real-analytic potentials Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry

Reference 30

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Langevin dynamics along the zero set of real-analytic potentials The Local Learning Coefficient: A Singularity-Aware Complexity Measure

Reference 31

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Langevin dynamics along the zero set of real-analytic potentials Unresolved cited work

Reference 32

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Langevin dynamics along the zero set of real-analytic potentials Stochastic modified equations and adaptive stochastic gradient algorithms

Reference 33

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Langevin dynamics along the zero set of real-analytic potentials What happens after SGD reaches zero loss? -- a mathematical framework

Reference 34

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Langevin dynamics along the zero set of real-analytic potentials Algebraic Methods for Evaluating Integrals in B ayesian Statistics

Reference 35

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Langevin dynamics along the zero set of real-analytic potentials Hoffman, and David M

Reference 36

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Langevin dynamics along the zero set of real-analytic potentials Notes on topological stability

Reference 37

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Langevin dynamics along the zero set of real-analytic potentials Implicit bias of SGD for diagonal linear networks: A provable benefit of stochasticity

Reference 38

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Langevin dynamics along the zero set of real-analytic potentials Label noise (stochastic) gradient descent implicitly solves the L asso for quadratic parametrisation

Reference 39

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This paper cites Geometry of subanalytic and semialgebraic sets, volume 150 of Progress in Mathematics.

Langevin dynamics along the zero set of real-analytic potentials Geometry of subanalytic and semialgebraic sets, volume 150 of Progress in Mathematics

Reference 40

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Observation 591f6a17-0cbd-46a8-a7f4-0ff497135a52 · outbound

This paper cites Differentiation and specialization of attention heads via the refined local learning coefficient.

Langevin dynamics along the zero set of real-analytic potentials Differentiation and specialization of attention heads via the refined local learning coefficient

Reference 41

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This paper cites Algebraic geometry and statistical learning theory, volume 25 of Cambridge Monographs on Applied and Computational Mathematics.

Langevin dynamics along the zero set of real-analytic potentials Algebraic geometry and statistical learning theory, volume 25 of Cambridge Monographs on Applied and Computational Mathematics

Reference 42

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Langevin dynamics along the zero set of real-analytic potentials Mathematical theory of B ayesian statistics

Reference 43

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This paper cites Deep learning is singular, and that's good.

Langevin dynamics along the zero set of real-analytic potentials Deep learning is singular, and that's good

Reference 44

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Observation 023d7720-ff57-4a46-90ec-0d66ddf34716 · outbound

This paper cites Bayesian learning via stochastic gradient langevin dynamics.

Langevin dynamics along the zero set of real-analytic potentials Bayesian learning via stochastic gradient langevin dynamics

Reference 45

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Observation e2ee494f-7bd1-4d6d-adc7-f8fe3ed419ba · outbound

This paper cites A diffusion theory for deep learning dynamics: Stochastic gradient descent exponentially favors flat minima.

Langevin dynamics along the zero set of real-analytic potentials A diffusion theory for deep learning dynamics: Stochastic gradient descent exponentially favors flat minima

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:47:47.526763Z

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