On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula | Paper Citation Record

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This paper cites Random Dynamical Systems.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Random Dynamical Systems

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This paper cites Refined Second Law of Thermodynamics for fast random processes.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Refined Second Law of Thermodynamics for fast random processes

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This paper cites The Bismut–Elworthy–Li formula for mean-field stochastic differential equations.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula The Bismut–Elworthy–Li formula for mean-field stochastic differential equations

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Control Theory for Physicists

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This paper cites Large Deviations and the Malliavin Calculus.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Large Deviations and the Malliavin Calculus

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This paper cites Probability flow solution of the Fokker-Planck equation.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Probability flow solution of the Fokker-Planck equation

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This paper cites Improving control based importance sampling strategies for metastable diffusions via adapted metadynamics.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Improving control based importance sampling strategies for metastable diffusions via adapted metadynamics

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This paper cites Gradient Flow Algorithms for Density Propagation in Stochastic Systems.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Gradient Flow Algorithms for Density Propagation in Stochastic Systems

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This paper cites Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift

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This paper cites Fronts in passive scalar turbulence.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Fronts in passive scalar turbulence

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Stochastic Control Liaisons: Richard Sinkhorn Meets Gaspard Monge on a Schrödinger Bridge

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This paper cites E. Schr\"odinger's 1931 paper "On the Reversal of the Laws of Nature" ["\"Uber die Umkehrung der Naturgesetze",Sitzungsberichte der preussischen Akademie der Wissenschaften, physikalische mathematische Klasse, 8 N9 144-153].

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula E. Schr\"odinger's 1931 paper "On the Reversal of the Laws of Nature" ["\"Uber die Umkehrung der Naturgesetze",Sitzungsberichte der preussischen Akademie der Wissenschaften, physikalische mathematische Klasse, 8 N9 144-153]

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Fluctuation Relations for Diffusion Processes

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Entropic turnpike estimates for the kinetic Schr\"odinger problem

Reference 14

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This paper cites Diffusion Schr\"odinger Bridge with Applications to Score-Based Generative Modeling.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Diffusion Schr\"odinger Bridge with Applications to Score-Based Generative Modeling

Reference 15

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Quantum trajectory framework for general time- local master equations

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This paper cites Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations

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This paper cites Multilevel Picard itera- tions for solving smooth semilinear parabolic heat equations.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Multilevel Picard itera- tions for solving smooth semilinear parabolic heat equations

Reference 18

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This paper cites Differentiation of heat semigroups and applications.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Differentiation of heat semigroups and applications

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Formulae for the Derivatives of Heat Semigroups

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula 2nd, revised

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics

Reference 22

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This paper cites ApplicationsofMalli- avin calculus to Monte-Carlo methods in finance. II.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula ApplicationsofMalli- avin calculus to Monte-Carlo methods in finance. II

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Ap- plications of Malliavin calculus to Monte Carlo methods in finance

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula The geometry of physics: an introduction

Reference 25

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Solvinghigh-dimensionalpartialdifferentialequations using deep learning

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Horn and Charles R

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Estimation of Non-Normalized Statistical Models by Score Matching

Reference 28

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Fashionable Modelling with Flux

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Flux: Elegant Machine Learning with Julia

Reference 30

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Synthetic Molecular Motors and Mechan- ical Machines

Reference 31

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Adam: A Method for Stochastic Optimization

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Klebaner

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Reciprocal diffusions in flat space

Reference 34

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Lectures on Stochastic Flows And Applications

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula On backward stochastic differential equations

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula A survey of the Schrödinger problem and some of its connections with optimal transport

Reference 38

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Interacting particle solutions of Fokker-Planck equations through gradient-log-density estimation

Reference 39

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Brownian Carnot engine

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Passive scalar turbulence in high dimensions

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Géométriedifférentiellestochastique,II

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Diffusion processes and Riemannian geometry

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula On extremals of the entropy production by "Langevin-Kramers" dynamics

Reference 44

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula On the efficiency of heat engines at the micro-scale and below

Reference 45

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This paper cites On how nanomechanical systems can minimize dissipation.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula On how nanomechanical systems can minimize dissipation

Reference 46

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This paper cites Dynamical Theories of Brownian Motion.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Dynamical Theories of Brownian Motion

Reference 47

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This paper cites The Malliavin calculus and related topics.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula The Malliavin calculus and related topics

Reference 48

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Pavliotis

Reference 49

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On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Stochastic Thermodynamics

Reference 50

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This paper cites url: https://link.springer.com/book/10.1007/978- 1-4939-1323-7.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula url: https://link.springer.com/book/10.1007/978- 1-4939-1323-7

Reference 51

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Observation e3b6d116-0e46-44ad-b6ff-9637d94956ca · outbound

This paper cites Finite-time Landauer principle.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Finite-time Landauer principle

Reference 52

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Observation 379f8c27-5f1f-4ffd-a497-03abec8461e6 · outbound

This paper cites Constrained Differential Optimization.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Constrained Differential Optimization

Reference 53

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Observation 549c72ac-565f-4c50-94c9-9292629cacd9 · outbound

This paper cites Minimal work protocols for inertial particles in non-harmonic traps.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Minimal work protocols for inertial particles in non-harmonic traps

Reference 54

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Observation e62d4838-3a12-4b0f-9922-3c18e5e8b237 · outbound

This paper cites DifferentialEquations.jl–a performant and feature-rich ecosystem for solving differential equations in Julia.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula DifferentialEquations.jl–a performant and feature-rich ecosystem for solving differential equations in Julia

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:51:18.759378Z

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Observation c017e752-a9e7-4cc1-a047-04da4cb08d1c · outbound

This paper cites Efficiency at maximum power: An analytically solvable model for stochastic heat engines.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Efficiency at maximum power: An analytically solvable model for stochastic heat engines

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-08-12T21:51:17.847165Z

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Observation 2860b6ed-2f42-40f6-a7e9-7c5628790593 · outbound

This paper cites Optimal Control of Underdamped Systems: An Analytic Approach.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Optimal Control of Underdamped Systems: An Analytic Approach

Reference 57

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Observation 79854a39-dfa6-4bcf-8b6f-5d20a8444634 · outbound

This paper cites Über die Umkehrung der Naturgesetze.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Über die Umkehrung der Naturgesetze

Reference 58

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Observation c0610734-2f79-4672-88d5-a7d98b3ae5c5 · outbound

This paper cites Efficiency of molecular motors at maximum power.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Efficiency of molecular motors at maximum power

Reference 59

Resolution: malformed identifier; local_arxiv, observed 2026-08-12T21:51:17.826569Z

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Observation cd3ef233-4b4d-451e-a0c1-169e34f68723 · outbound

This paper cites Stochastic Energetics.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Stochastic Energetics

Reference 60

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Observation 4a19943b-f1be-4f1d-8d67-0c799557d0e1 · outbound

This paper cites Stochastic thermodynamics, fluctuation theorems and molecular machines.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Stochastic thermodynamics, fluctuation theorems and molecular machines

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:51:18.747605Z

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Observation 377d9685-0cb3-47c5-92d3-d959d90bd13b · outbound

This paper cites Efficient computation of optimal actions.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Efficient computation of optimal actions

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:51:18.735038Z

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Observation d8145a94-98b0-4a43-8d89-9bbb2b7d6c74 · outbound

This paper cites Estimating functions for diffusion-type processes.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Estimating functions for diffusion-type processes

Reference 63

Resolution: verified exact; doi, observed 2026-08-12T21:51:17.513824Z

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Observation 168c0cf8-d7cf-4a79-832e-6aa2a5356979 · outbound

This paper cites Solving Schrödinger Bridges via Maximum Likelihood.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Solving Schrödinger Bridges via Maximum Likelihood

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:51:18.721030Z

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Observation c5557bad-6feb-4c0d-bcc1-a678c14d5721 · outbound

This paper cites Theoretical guarantees for sampling and inference in generative models with latent diffusions.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Theoretical guarantees for sampling and inference in generative models with latent diffusions

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-12T21:51:17.429160Z

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Observation 835eded8-ad2c-41c7-b2d8-50898954d941 · outbound

This paper cites Stochastic flows and Bismut formulas for stochastic Hamiltonian systems.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Stochastic flows and Bismut formulas for stochastic Hamiltonian systems

Reference 66

Resolution: malformed identifier; no resolver link, observed 2026-08-12T21:51:17.443257Z

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Observation d2de28ac-2ca8-483f-bb99-0356e7906add · outbound

This paper cites Optimal transport: old and new.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Optimal transport: old and new

Reference 67

Resolution: malformed identifier; no resolver link, observed 2026-08-12T21:51:17.438717Z

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Observation 302852ee-7f4c-4ca7-a8b8-1a1988500171 · outbound

This paper cites Nonequilibrium statistical mechanics.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula Nonequilibrium statistical mechanics

Reference 69

Resolution: verified exact; raw_fallback, observed 2026-08-12T21:51:17.789757Z

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Observation b0238c9f-a5b7-4281-a6fd-27fa17cb8101 · outbound

This paper cites A survey of the Schr\"odinger problem and some of its connections with optimal transport.

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula A survey of the Schr\"odinger problem and some of its connections with optimal transport

Reference 1574

Resolution: unresolved; no resolver link, observed 2026-08-12T21:51:17.299576Z

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