Dynamical Theories of Brownian Motion

Approximation of the Ornstein-Uhlenbeck Local Time by Harmonic Oscillators

León, J. R., Perera, G., & León, J. R. (2000) · Bernoulli · doi:10.2307/3318581 · Cited by 1

Stochastic Quantization of Time-Dependent Systems by the Haba and Kleinert Method

Haas, F. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-3987-4 · Cited by 1

Quantum mechanics: Historical contingency and the Copenhagen hegemony by James T. Cushing

Hiley, B. J. (1997) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/s1355-2198(97)00005-1 · Cited by 1

Stochastic Motion Under G-Framework: I. Nelson Stochastic Derivatives

Zhang, H., & Kannan, D. (2014) · Stochastic Analysis and Applications · doi:10.1080/07362994.2014.964870 · Cited by 1

A FOOTNOTE TO NELSON'S INTERPRETATION OF THE TWO-SLIT EXPERIMENT

Pavon, M. (2004) · International Journal of Modern Physics B · doi:10.1142/s0217979204024367 · Cited by 1

Fermions, q-deformed diffeomorphism and the evolution of spin networks

Mullick, L., & Bandyopadhyay, P. (2015) · International Journal of Modern Physics D · doi:10.1142/s0218271815500741 · Cited by 1

Some Geometric Consequences of the Schrödinger Problem

Léonard, C. (2015) · Lecture notes in computer science · doi:10.1007/978-3-319-25040-3_7 · Cited by 1

Динамика массивного поршня, погруженного в идеальный газ

Chernov, N. I., Chernov, N. I., Лебовиц, Д. Л., et al. (2002) · Успехи математических наук · doi:10.4213/rm572 · Cited by 1

Appearance vs. Reality in the Sciences

van Fraassen, B. C. (2008) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199278220.003.00013 · Cited by 1

Prospective New Conceptual Categories

Minati, G., & Pessa, E. (2018) · Contemporary systems thinking · doi:10.1007/978-1-4939-7581-5_2 · Cited by 1

Asymptotic Flux Across Hypersurfaces for Diffusion Processes

Posilicano, A., & Ugolini, S. (2004) · Springer eBooks · doi:10.1007/978-1-4020-2468-9_12 · Cited by 1

STUDY BROWNIAN MOTION AND SHOWING THE TRAJECTORIES OF PARTICLES USING FRACTAL GEOMETRY.

AL-RASHID, S. N. T. (2012) · Journal of university of Anbar for pure science · doi:10.37652/juaps.2007.15270 · Cited by 1

The Burgers equations and the Born rule

Prodanov, D. (2021) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2020.110637 · Cited by 1

First-passage-time statistics of a Brownian particle driven by an arbitrary unidimensional potential with a superimposed exponential time-dependent drift

Urdapilleta, E. (2015) · Conicet · Cited by 1

Dynamics

Minati, G., & Pessa, E. (2018) · Contemporary systems thinking · doi:10.1007/978-1-4939-7581-5_3 · Cited by 1

Brownian motion

Jones, P. H., Maragò, O. M., & Volpe, G. (2015) · Cambridge University Press eBooks · doi:10.1017/cbo9781107279711.009 · Cited by 1

Brownian motion in a magnetic field

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Diffusion Processes

Paul, W., & Baschnagel, J. (2013) · Springer eBooks · doi:10.1007/978-3-319-00327-6_3 · Cited by 1

Stochastic Equations and Inclusions with Mean Derivatives and Their Applications

Gliklikh, Y. E. (2022) · Contemporary Mathematics Fundamental Directions · doi:10.22363/2413-3639-2022-68-2-191-337 · Cited by 1

A Compact Derivation of Quantum Potential in de Broglie–Bohm Theory

Matsuoka, O. (2023) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.92.024002 · Cited by 1

Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations

Albeverio, S. A., Vecchi, F. C. D., & Ugolini, S. (2022) · Lecture notes in mathematics · doi:10.1007/978-3-031-12244-6_36 · Cited by 1

Stochastic Lagrange Approach to Viscous Hydrodynamics

Gliklikh, Y. E. (2024) · Journal of Mathematical Sciences · doi:10.1007/s10958-024-06906-7 · Cited by 1

Constant speed random particles spontaneously confined on the surface of an expanding sphere

Serva, M. (2024) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/ad4023 · Cited by 1

Stochastic Equations and Inclusions with Mean Derivatives and Their Applications

Gliklikh, Y. E. (2024) · Journal of Mathematical Sciences · doi:10.1007/s10958-024-07172-3 · Cited by 1

An Approach to Studying Leontief Type Stochastic Differential Equations

Mashkov, E. Y. (2024) · Mathematical Notes · doi:10.1134/s0001434624050110 · Cited by 1

Numerical Algorithm and Computational Experiments for one Linear Stochastic Hoff Model

Soldatova, E. A., Keller, A. V., Солдатова, E. A., et al. (2024) · Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software · doi:10.14529/mmp240207 · Cited by 1

The small-mass limit for some constrained wave equations with nonlinear conservative noise

Cerrai, S., & Xie, M. (2025) · Electronic Journal of Probability · doi:10.1214/25-ejp1284 · Cited by 1

A Comparative Study of Brownian Dynamics Based on the Jerk Equation Against a Stochastic Process Under an External Force Field

Ruiz-Silva, A., Cassal-Quiroga, B. B., Escalante-González, R. J., et al. (2025) · Mathematics · doi:10.3390/math13050804 · Cited by 1

Stochastic Wave Equations with Constraints: Well-Posedness and Smoluchowski–Kramers Diffusion Approximation

Brzeźniak, Z., & Cerrai, S. (2025) · Communications in Mathematical Physics · doi:10.1007/s00220-025-05397-0 · Cited by 1

Trapping in stochastic mechanics and applications to covers of clouds and radiation belts

Albeverio, S. A., Blanchard, P., Combe, P., Rodriguez, R., Sirugue, M., & Sirugue, M. (1985) · Lecture notes in mathematics · doi:10.1007/bfb0074456 · Cited by 1

Numerical simulation of Brownian particles in optical force fields

Volpe, G., & Volpe, G. (2013) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.2022517 · Cited by 1

Emergence of fuzzy preferences for risk in a Birkhoff–von Neumann logics environment

Haven, E. E. (2005) · Fuzzy Sets and Systems · doi:10.1016/j.fss.2005.02.003 · Cited by 1

Stochastic Mechanism and Its Dynamics in Biological System

Matsuura, H., Noda, N. N., Koide, K., et al. (2006) · doi:10.1109/icicic.2006.527 · Cited by 1

NONLINEAR PHENOMENA IN CANONICAL STOCHASTIC QUANTIZATION

Hüffel, H. (2008) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127408022019 · Cited by 1

New expressions of the modified generalized integral transform via the translation theorem with applications

Chang, S. J., & Chung, H. S. (2017) · Integral Transforms and Special Functions · doi:10.1080/10652469.2017.1414214 · Cited by 1

Stochastic Leontief Type Equations with Impulse Actions

Mashkov, E. Y. (2018) · Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software · doi:10.14529/mmp180205 · Cited by 1

A new approach method to obtain theL1generalized analytic Fourier–Feynman transform

Chang, S. J., Chung, H. S., & Lee, I. Y. (2018) · Integral Transforms and Special Functions · doi:10.1080/10652469.2018.1497024 · Cited by 1

Decoherence and Phase Transitions in Quantum Dynamics

Gaveau, B., & Schulman, L. S. (2019) · Journal of Statistical Physics · doi:10.1007/s10955-018-2214-7 · Cited by 1

An entropy generation formula on $$\varvec{RCD(K,\infty )}$$ spaces

Bessi, U. (2018) · Nonlinear Differential Equations and Applications NoDEA · doi:10.1007/s00030-018-0518-6 · Cited by 1

Quantum Behavior of a Classical Particle Subject to a Random Force

Gokler, C. (2021) · Foundations of Physics · doi:10.1007/s10701-021-00422-3 · Cited by 3

Quantized noncommutative Riemann manifolds and stochastic processes: The theoretical foundations of the square root of Brownian motion

Frasca, M., Farina, A. M., & Alghalith, M. (2021) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2021.126037 · Cited by 1

Rate of Entropy Production in Stochastic Mechanical Systems

Chirikjian, G. S. (2021) · Entropy · doi:10.3390/e24010019 · Cited by 1

Brownian motion from a deterministic system of particles

Ardourel, V. (2022) · Synthese · doi:10.1007/s11229-022-03577-2 · Cited by 1

Markov Processes

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Construction of Observations Based on Data Distorted by Interference of Various Types

Sagadeeva, M. A., & Mitin, O. V. (2021) · Journal of Computational and Engineering Mathematics · doi:10.14529/jcem210402 · Cited by 1

Stochastic Bridges Over Ensemble of Linear Systems

Adu, D. O., & Chen, Y. (2023) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc49753.2023.10383444 · Cited by 1

Laser Heterodyne Spectroscopy

Protopopov, V. (2009) · Springer series in optical sciences/SPringer series in optical sciences · doi:10.1007/978-3-642-02338-5_2 · Cited by 1

The paradox of probability in physics

Bartlett, M. S. (1975) · Springer eBooks · doi:10.1007/978-94-009-5889-0_3 · Cited by 1

On first hitting times in stochastic mechanics

Batchelor, A., & Truman, A. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0077912 · Cited by 1

The Wave-Particle Duality as an Interplay between Order and Chaos

Diner, S. (1984) · Springer eBooks · doi:10.1007/978-94-009-6286-6_11 · Cited by 1

A Fractional Langevin Equation Approach to Diffusion Magnetic Resonance Imaging

Cooke, J. (2011) · Advances in chemical physics · doi:10.1002/9781118135242.ch5 · Cited by 1

COUPLED LAGRANGE-EULER MODEL FOR SIMULATION OF BUBBLY FLOW IN VERTICAL PIPES CONSIDERING TURBULENT 3D RANDOM WALKS MODELS AND BUBBLES INTERACTION EFFECTS

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A Comment on Dynamical Chaos in Classical and Quantum Mechanical Hamiltonian Systems

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Some remarks on classical, quantum and stochastic dynamical systems

Albeverio, S. A., Arede, T., & Hilbert, A. (2008) · Springer eBooks · doi:10.1007/3-540-52347-2_20 · Cited by 1

Stochastlc quantization: Regularization and renormalization

González-Arroyo, A. (2008) · Springer eBooks · doi:10.1007/3-540-13911-7_82 · Cited by 1

Eulerian versus Lagrangian variational principles in stochastic mechanics

Loffredo, M. I., & Ugolini, S. (1996) · Meccanica · doi:10.1007/bf00426260 · Cited by 1

Understanding average Brownian exit time

Kinateder, K. K. J. (2001) · Statistics & Probability Letters · doi:10.1016/s0167-7152(00)00121-8 · Cited by 1

Stochastic quantization of a system with quenched random fields

PASQUALE, F. D., Ruggiero, P., & Zannetti, M. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.30.2695 · Cited by 1

Axioms for quantum theory

Gerlich, G. (1992) · International Journal of Theoretical Physics · doi:10.1007/bf00673916 · Cited by 1

Stochastic quantisation of a gauge field in the infrared-soft flow gauges

Lim, S. (1988) · Letters in Mathematical Physics · doi:10.1007/bf00402017 · Cited by 1

Reaction probability derived from a stochastic interpolation formula

Misawa, T. (1993) · Physics Letters A · doi:10.1016/0375-9601(93)90094-g · Cited by 1

Thermodynamics of a quantum simulating fluid complex

Gilson, J. G. (1972) · International Journal of Theoretical Physics · doi:10.1007/bf00678223 · Cited by 1

Introduction to a Brownian quasiparticle model

Combis, P., Fronteau, J., & Tellez-Arenas, A. (1979) · Journal of Statistical Physics · doi:10.1007/bf01009610 · Cited by 1

Solutions of Fokker-Planck equations appearing in the stochastic representation of nonrelativistic quantum mechanics

Olariu, S. (1987) · Physical Review A · doi:10.1103/physreva.36.1874 · Cited by 1

Probabilistic calculations on the ground state of the harmonic oscillator

Thomas, L. C. (1973) · Journal of Statistical Physics · doi:10.1007/bf01014904 · Cited by 1

Covariant lagrangian of Onsager and Machlup without discretization

Zambrini, J.-C. (1980) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(90)90179-v · Cited by 1

Illustrations of a dynamical theory of the ether

Whealton, J. H. (1975) · Foundations of Physics · doi:10.1007/bf00708895 · Cited by 1

Stochastic statistical mechanics

Lessner, G. (1993) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(93)90038-6 · Cited by 1

Ergodic properties of infinite-dimensional stochastic systems

Tropper, M. M. (1977) · Journal of Statistical Physics · doi:10.1007/bf01014352 · Cited by 1

Velocity of propagation in diffusional quantum theory

Kostin, M. D. (1986) · Journal of Statistical Physics · doi:10.1007/bf01021095 · Cited by 1

Statistical-mechanical description of classical test-particle dynamics in the presence of an external force field: modelling noise and damping from first principles

Kourakis, I., & Grecos, A. P. (2006) · The European Physical Journal B · doi:10.1140/epjb/e2006-00116-y · Cited by 1

A Memory Function Approach to Stochastic KdV Equation

Chowdhury, A. R., Dey, A. K., & Roy, S. (1985) · Physica Scripta · doi:10.1088/0031-8949/32/3/001 · Cited by 1

Stochastic model of a dense spinless hard-sphere gas

Morato, L. M. (1991) · ˜Il œNuovo cimento della Società italiana di fisica. B/˜Il œNuovo cimento B · doi:10.1007/bf02722544 · Cited by 1

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Comment on “Stochastic equations for spin-2 fields in the quasi-Maxwellian formulation” by L.R. de Freitas et al

Lim, S. (1997) · Physics Letters A · doi:10.1016/s0375-9601(96)00890-0 · Cited by 1

Franchissement et temps local pour l'oscillateur harmonique

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Chapman-Enskog-Hilbert expansion for the Ornstein-Uhlenbeck process and the approximation of Brownian motion

Ellis, R. S. (1974) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1974-0353469-4 · Cited by 1

15 Confidence bands for the survival function S(t|z) and the relation with decision analysis: Theory

Kardaun, O. (1991) · Handbook of statistics · doi:10.1016/s0169-7161(05)80171-3 · Cited by 1

The Stochastic Interpretation of Quantum Mechanics and the Theory of Measurement

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Can we escape from Bell's conclusion that quantum mechanics describes a non-local reality?

de Muynck, W. M. (1996) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/s1355-2198(96)00010-x · Cited by 1

From “Matter-Energy” to “Irreducible Information Processing”: Arguments for a Paradigm Shift in Fundamental Physics

Requardt, M. (1992) · Springer eBooks · doi:10.1007/978-3-642-77211-5_7 · Cited by 1

Controlling the Velocity of Brownian Motion by its Terminal Value

Peškir, G. (1999) · Springer eBooks · doi:10.1007/978-94-011-4577-0_19 · Cited by 1

Stochastic analysis, groups of diffemorphisms and lagrangian description of viscous incompressible fluid

Gliklikh, Y. E. (1992) · Lecture notes in mathematics · doi:10.1007/bfb0084712 · Cited by 1

Asymptotics and limit theorems for the linearized boltzmann equation

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Stochastic systems of particles

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Some Detectability Issues in Sensor Networks

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14 Skorokhod representation

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Numerical simulations of wet granular matter

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Classics

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Ergodicity of Finite-Energy Diffusions

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