Dynamical Theories of Brownian Motion

Hypercontractivity and lower deviation estimates in normed spaces

Paouris, G., Tikhomirov, K. E., & Valettas, P. (2022) · The Annals of Probability · doi:10.1214/21-aop1543 · Cited by 2

Slow-roll versus stochastic slow-roll inflation

Haba, Z. (2019) · The European Physical Journal C · doi:10.1140/epjc/s10052-019-7409-9 · Cited by 2

Symmetry of the isotropic Ornstein-Uhlenbeck process in a force field

Gaeta, G. (2021) · Open Communications in Nonlinear Mathematical Physics · doi:10.46298/ocnmp.7535 · Cited by 2

Infinite density and relaxation for Lévy walks in an external potential: Hermite polynomial approach

Xu, P., Metzler, R., & Wang, W. (2022) · Physical review. E · doi:10.1103/physreve.105.044118 · Cited by 2

A Small Delay and Correlation Time Limit of Stochastic Differential Delay Equations with State-Dependent Colored Noise

Hottovy, S., McDaniel, A., & Wehr, J. (2019) · Journal of Statistical Physics · doi:10.1007/s10955-019-02242-2 · Cited by 2

Reconstructing the drift of a diffusion from partially observed transition probabilities

Albeverio, S. A., & Marinelli, C. (2005) · Stochastic Processes and their Applications · doi:10.1016/j.spa.2005.04.008 · Cited by 2

A new aspect of the analytic Fourier-Feynman transform and its applications

Chang, S. J., & Chung, H. S. (2014) · Integral Transforms and Special Functions · doi:10.1080/10652469.2014.975128 · Cited by 2

Intertemporal issues associated with the control of macro-economic systems

Guillermo, L., & Gómez, M. (1992) · Computers & Mathematics with Applications · doi:10.1016/0898-1221(92)90189-o · Cited by 2

A connection between the Boltzmann equation and the Ornstein-Uhlenbeck process

Brunnschweiler, A. (1981) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00280461 · Cited by 2

Semiclassical wave functions and semiclassical dynamics for the Kepler/Coulomb problem

Neate, A., & Truman, A. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/22/225302 · Cited by 2

Exploring Ramifications of the EquationE(Y|X) =X

Rao, M. M. (2007) · Journal of Statistical Theory and Practice · doi:10.1080/15598608.2007.10411825 · Cited by 2

A Purely Lagrangian Method for the Numerical Integration of Fokker-Planck Equations

Combis, P., & Fronteau, J. (1986) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/2/3/011 · Cited by 2

The symmetry of diffusions and the circulations of their projection processes

Gong, G., & Qian, M. (1998) · Science in China Series A Mathematics · doi:10.1007/bf02871835 · Cited by 2

Influence of a nanorod molecular layer on the biological activity of neuronal cells. A semiclassical model for complex solid/liquid interfaces with carbon nanotubes

Mezzasalma, S. A. (2011) · Journal of Colloid and Interface Science · doi:10.1016/j.jcis.2011.05.007 · Cited by 2

On the regularity of the solutions of stochastic partial differential equations

Üstünel, A. S. (2005) · Springer eBooks · doi:10.1007/bfb0005061 · Cited by 2

The Poincaré Upper Half-Plane

Terras, A. A. (2013) · Springer eBooks · doi:10.1007/978-1-4614-7972-7_3 · Cited by 2

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

Urdapilleta, E. (2015) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/48/50/505001 · Cited by 2

Соотношение неопределенностей Шредингера для квантового осциллятора в термостате

Суханов, А. Д., & Суханов, А. Д. (2006) · Теоретическая и математическая физика · doi:10.4213/tmf2087 · Cited by 2

On existence of optimal solutions for stochastic differential equations and inclusions with current velocities

Gliklikh, Y. E., Makarova, A. V., & Zheltikova, O. O. (2016) · Applicable Analysis · doi:10.1080/00036811.2016.1253066 · Cited by 2

A Mechanical Model of Brownian Motion for One Massive Particle Including Slow Light Particles

Song, L. (2017) · Journal of Statistical Physics · doi:10.1007/s10955-017-1934-4 · Cited by 2

Modeling and Identification of Discrete Second-Order Systems via Stochastic Mechanics

Ohsumi, A. (2012) · Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications · doi:10.5687/sss.2012.35 · Cited by 2

An entropy approach to Bose-Einstein condensation

Vecchi, F. C. D., & Ugolini, S. (2014) · Communications on Stochastic Analysis · doi:10.31390/cosa.8.4.06 · Cited by 2

О полноте стохастических потоков, порожденных уравнениями с текущими скоростями

Gliklikh, Y. E., & Shchichko, T. A. (2019) · Теория вероятностей и ее применения · doi:10.4213/tvp5230 · Cited by 2

Strong entanglement criterion involving momentum weak values

Valdés-Hernández, A., de la Peña, L., & Cetto, A. M. (2018) · Physics Letters A · doi:10.1016/j.physleta.2018.11.053 · Cited by 2

Generalized transforms and generalized convolution products associated with Gaussian paths on function space

Chang, S. J., & Choi, J. G. (2019) · Communications on Pure & Applied Analysis · doi:10.3934/cpaa.2020019 · Cited by 2

The Langevin Equation

Pavliotis, G. A. (2014) · Texts in applied mathematics · doi:10.1007/978-1-4939-1323-7_6 · Cited by 2

Differential inclusions with mean derivatives having extreme right-hand sides and optimal control

Gliklikh, Y. E., & Zheltikova, O. O. (2019) · Applicable Analysis · doi:10.1080/00036811.2019.1672870 · Cited by 2

Time-symmetric optimal stochastic control problems in space-time domains

Cruzeiro, A. B., Oliveira, C., & Zambrini, J.-C. (2021) · Optimization · doi:10.1080/02331934.2021.2017430 · Cited by 2

О разрешимости стохастических дифференциальных уравнений с осмотическими скоростями

Gliklikh, Y. E. (2020) · Теория вероятностей и ее применения · doi:10.4213/tvp5335 · Cited by 2

Evolution of Hemodynamic Parameters Simulated by Means of Diffusion Models

Walczak, A., Moszczyński, P., & Krzesiński, P. (2021) · Applied Sciences · doi:10.3390/app112311412 · Cited by 2

Тезисы докладов, представленных на Третьей Международной конференции по стохастическим методам

(2019) · Теория вероятностей и ее применения · doi:10.4213/tvp5257 · Cited by 2

On Local Entropy, Stochastic Control, and Deep Neural Networks

Pavon, M. (2022) · IEEE Control Systems Letters · doi:10.1109/lcsys.2022.3189927 · Cited by 5

Uncertainty Relations in the Madelung Picture Including a Dissipative Environment

Schuch, D., & Bonilla–Licea, M. (2023) · Entropy · doi:10.3390/e25020312 · Cited by 2

Numerical Algorithm for Finding a Solution to a Nonlinear Filtration Mathematical Model with a Random Showalter-Sidorov Initial Condition

Perevozchikova, K. V., Manakova, N. А., Gavrilova, O. V., et al. (2022) · Journal of Computational and Engineering Mathematics · doi:10.14529/jcem220204 · Cited by 2

Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions

Gubinelli, M., Hofmanová, M., & Rana, N. (2024) · Stochastic Partial Differential Equations Analysis and Computations · doi:10.1007/s40072-024-00328-x · Cited by 2

Complete Positivity and Open Quantum Systems

Rebolledo, R. (2001) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-0127-4_7 · Cited by 2

The Phenomenological Stochastic Approach: A Short Route to Quantum Mechanics

de la Peña, L., Cetto, A. M., & Hernández, A. V. (2014) · Springer eBooks · doi:10.1007/978-3-319-07893-9_2 · Cited by 2

On the Kinematics of Stochastic Mechanics

Pavon, M. (1997) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-1980-4_19 · Cited by 2

Stochastic Inclusions with Forward Mean Derivatives Having Decomposable Right-Hand Sides

Makarova, A. V. (2019) · Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software · doi:10.14529/mmp190212 · Cited by 2

Log-periodicity can appear in a non-Markovian random walk even if there is perfect memory of its history

de Lacerda, K. J. C. C., Cressoni, J. C., Viswanathan, G. M., et al. (2020) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/130/20004 · Cited by 2

CONSTRUCTION AN OBSERVATION IN THE SHESTAKOV–SVIRIDYUK MODEL IN TERMS OF MULTIDIMENSIONAL “WHITE NOISE” DISTORTION

Sagadeeva, M. A. (2020) · Bulletin of the South Ural State University series Mathematics Mechanics Physics · doi:10.14529/mmph200405 · Cited by 2

Stochastic Calculus

Öttinger, H. C. (1996) · Springer eBooks · doi:10.1007/978-3-642-58290-5_3 · Cited by 2

Causal anomalies and the completeness of quantum theory

Jones, R. S. (1997) · Synthese · doi:10.1007/bf00485435 · Cited by 2

Тезисы докладов, представленных на Второй международной конференции по стохастическим методам

(2017) · Теория вероятностей и ее применения · doi:10.4213/tvp5151 · Cited by 2

Excursions and Itôcalculus in Nelson’s Stochastic Mechanics

Truman, A., & Williams, D. S. (1991) · Springer eBooks · doi:10.1007/978-94-011-3282-4_3 · Cited by 2

Calculus of variations and quantum probability

Zambrini, J.-C. (2006) · Springer eBooks · doi:10.1007/bfb0041194 · Cited by 2

When is a Statistical Theory Causal?

Marshall, T. W. (1985) · Springer eBooks · doi:10.1007/978-94-009-5245-4_18 · Cited by 2

Computer stochastic mechanics

Yasue, K. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0077928 · Cited by 2

Some remarks on stochastically perturbed (Hamiltonian) systems

Albeverio, S. A., & Hilbert, A. (2005) · Springer eBooks · doi:10.1007/bfb0025758 · Cited by 2

Control of Extremely Fast Reactions

Yoshida, P. J.-I. (2008) · doi:10.1002/9780470723425.ch6 · Cited by 2

Jump processes in quantum theories

Blanchard, P., Combe, P., Sirugue, M., et al. (1986) · Lecture notes in physics · doi:10.1007/3540171665_56 · Cited by 2

Some considerations about Nelson's derivation of Schroedinger equation

Onofri, E. (1976) · Lecture notes in physics · doi:10.1007/3-540-07789-8_61 · Cited by 2

Stochastic processes and fermi fields

Angelis, G. F. D., de Falco, D., & Guerra, F. (1982) · Lecture notes in physics · doi:10.1007/3-540-11956-6_110 · Cited by 2

Variants of B rownian Motion

Bhamidi, S., & Greenwood, P. E. (2011) · Wiley Encyclopedia of Operations Research and Management Science · doi:10.1002/9780470400531.eorms0948 · Cited by 2

On the origin of cosmic rays and the value of fundamental length

Namsrai, K. (1985) · Foundations of Physics · doi:10.1007/bf00735284 · Cited by 2

Quantum dynamics as a stochastic process in phase space

Rubin, P. L. (1997) · Theoretical and Mathematical Physics · doi:10.1007/bf02630461 · Cited by 2

Sensitivity analysis in stochastic mechanics

McClendon, M., & RABITZ, H. A. (1988) · Physical Review A · doi:10.1103/physreva.37.3493 · Cited by 2

Nonlocal stochastic model for the free scalar field theory

Namsrai, K. (1981) · International Journal of Theoretical Physics · doi:10.1007/bf00669528 · Cited by 2

Noise perturbations in the Brownian motion and quantum dynamics

Garbaczewski, P. (1999) · Physics Letters A · doi:10.1016/s0375-9601(99)00283-2 · Cited by 2

Generalized stochastic mechanics on Riemannian manifolds

Davidson, M. P. (1980) · Letters in Mathematical Physics · doi:10.1007/bf00943434 · Cited by 2

Stochastic processes for indirectly interacting particles and stochastic quantum mechanics

Buonomano, V., & de Andrade, A. F. P. (1988) · Foundations of Physics · doi:10.1007/bf00732547 · Cited by 2

Local quantum entropy

Gilson, J. G. (1971) · International Journal of Theoretical Physics · doi:10.1007/bf00670386 · Cited by 2

Ergodicity of finite-energy diffusions

Wallstrom, T. C. (1990) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1990-0986032-1 · Cited by 2

New version of the Lagrange approach to the dynamics of a viscous incompressible fluid

Gliklikh, Y. E. (1994) · Mathematical Notes · doi:10.1007/bf02112472 · Cited by 2

Path sums for Brownian motion and quantum mechanics

Smith, T. B. (1980) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(80)90156-9 · Cited by 2

Schr�dinger's variational method of quantization revisited

Yasue, K. (1980) · Letters in Mathematical Physics · doi:10.1007/bf00417507 · Cited by 2

Stopping times in economic development planning: some modelling issues

M, G. L. G. (1991) · International Journal of Systems Science · doi:10.1080/00207729108910621 · Cited by 2

Sur la théorie globale des équations de Navier-Stokes compressible

Bresch, D., & Desjardins, B. (2008) · Journées Équations aux dérivées partielles · doi:10.5802/jedp.30 · Cited by 2

Controlling the density evolution of classical, thermodynamic and quantum systems

Pavon, M., & Ticozzi, F. (2006) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2005.1582421 · Cited by 2

Role of certain gradient vector fields in quantum mechanics

Nishioka, M. (1983) · ˜Il œNuovo cimento della Società italiana di fisica. B/˜Il œNuovo cimento B · doi:10.1007/bf02738415 · Cited by 2

Extension in Techniques for Stochastic Dynamic Systems

Chang, R. J. (1993) · Control and dynamic systems · doi:10.1016/b978-0-12-012755-9.50016-4 · Cited by 2

Fundamentals of Oxide Manufacturing

Pawłowski, L. (2018) · doi:10.1002/9781119424079.ch2 · Cited by 2

Planetesimal diffusions

Durran, R., & Truman, A. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0077917 · Cited by 2

Thermodynamics and Transient Dynamics of Simple Optical Systems with Instability

Hasegawa, H. (1980) · Springer series in solid-state sciences · doi:10.1007/978-3-642-81482-2_9 · Cited by 2

Jeffrey Bub The Interpretation of Quantum Mechanics, Reidel (Boston, 1974)

Glymour, C. (1976) · Canadian Journal of Philosophy · doi:10.1080/00455091.1976.10716988 · Cited by 2

Noise perturbations in the Brownian motion and quantum dynamicsPreprint

Garbaczewski, P. (1999) · Cited by 2

Indeterminism or Instability, Does it Matter?

Suppes, P. (1991) · Springer eBooks · doi:10.1007/978-94-011-3348-7_2 · Cited by 2

Review

Sneed, J. D. (1968) · Synthese · doi:10.1007/bf00484982 · Cited by 2

Fundamentals of Diffusion in Microfluidic Systems

Chamarthy, P., Kumar, A., Cao, J., et al. (2008) · Springer eBooks · doi:10.1007/978-0-387-48998-8_608 · Cited by 2

Louis de Broglie Double Solution Theory Confirms the Wave-Particle Duality PrinciplePreprint

Sbitnev, V. I. (2023) · Preprints.org · doi:10.20944/preprints202308.1128.v1 · Cited by 2

Stochastic Quantisation

Gubinelli, M. (2024) · Encyclopedia of Mathematical Physics · doi:10.1016/b978-0-323-95703-8.00099-9 · Cited by 2

Gaussian process and Lévy walk under stochastic noninstantaneous resetting and stochastic rest

Zhou, T., Xu, P., & Deng, W. (2021) · Physical review. E · doi:10.1103/physreve.104.054124 · Cited by 1

Feynman-Kac formula under a finite entropy condition

Léonard, C. (2022) · Probability Theory and Related Fields · doi:10.1007/s00440-022-01155-8 · Cited by 1

Non-Newtonian and Viscoelastic Fluids

Deville, M., & Gatski, T. B. (2012) · Springer eBooks · doi:10.1007/978-3-642-25295-2_5 · Cited by 1

A Stochastic Variational Principle for Burgers Equation and its Symmetries

Cipriano, F. (2003) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-8018-3_3 · Cited by 1

Wiener Process

Malliaris, A. G. (1990) · Palgrave Macmillan UK eBooks · doi:10.1007/978-1-349-20570-7_38 · Cited by 1

Non-markovian dynamics-induced fictitious electric field in the presence of a time-independent magnetic field

Das, J., Biswas, M., Mondal, D., et al. (2024) · The European Physical Journal B · doi:10.1140/epjb/s10051-024-00651-1 · Cited by 1

Об эффекте гетерогенности при статистическом анализе плотности плазмы

Arkashov, N. S., & Seleznev, V. A. (2025) · Теоретическая и математическая физика · doi:10.4213/tmf10800 · Cited by 1

Moser regularization of a stochastically perturbed Kepler problem

Saha, A. (2025) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/s10569-025-10265-z · Cited by 1

Spacetimes of maximal proper acceleration and muon mean lifetime

Torromé, R. G. (2026) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s0219887826501240 · Cited by 1

Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes

Jerez‐Rodriguez, J. S., Escobar-Aguilar, E. S., & Matos, T. (2026) · The European Physical Journal C · doi:10.1140/epjc/s10052-026-15712-1 · Cited by 1

Flow of a reacting and radiating Williamson nanofluid past a stretching wedge in a porous medium

Garg, S., & Yadav, R. S. (2026) · International Journal of Advances in Engineering Sciences and Applied Mathematics · doi:10.1007/s12572-026-00433-1 · Cited by 1

Introduction from Quantum Physics to Quantum Technology

Diner, S. (1987) · Springer eBooks · doi:10.1007/978-3-7091-2971-5_1 · Cited by 1

Quantum Measurement by Quantum Brain

Jibu, M., & Yasue, K. (1995) · Springer eBooks · doi:10.1007/978-94-011-0169-1_17 · Cited by 1

Poincaré-Birkhoff Theorems in random dynamics

Pelayo, Á., & Rezakhanlou, F. (2016) · Transactions of the American Mathematical Society · doi:10.1090/tran/6967 · Cited by 1

On the meaning of locality: the overlapping assumptions

Shafiee, A., & Ghahramani, F. T. (2015) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-015-0053-7 · Cited by 2

Propagation of chaos in entropy

Aebi, R. (1996) · Kodai Mathematical Journal · doi:10.2996/kmj/1138043649 · Cited by 1

Elements of nonequilibrium (ћ, k) dynamics at zero and finite temperatures

Golubjeva, O. N., & Sukhanov, A. D. (2011) · Physics of Particles and Nuclei Letters · doi:10.1134/s1547477111010031 · Cited by 1

Geometrical aspects of nelson's stochastic quantization

Gliklikh, Y. E. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0080432 · Cited by 1

The origin of quantum fluctuations in microcanonical quantization

Kanenaga, M. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.02.074 · Cited by 1

ИСПОЛЬЗОВAНИЕ ПОТЕНЦИAЛA СОЦИAЛЬНЫХ ПAРТНЕРОВ В ПОДГОТОВКЕ БУДУЩИХ ПЕДAГОГОВ

Атабекова, Б. Б. (2024) · Habaršy. Pedagogika ġylymdary seriâsy · doi:10.51889/2959-5762.2023.80.4.019

Prim�rzerlegung in Steinschen Algebren

Förster, O. (1964) · Mathematische Annalen · doi:10.1007/bf01362567 · Cited by 32

�ber unirationale Scharen auf algebraischen Mannigfaltigkeiten

Reich, L. (1966) · Mathematische Annalen · doi:10.1007/bf01364537 · Cited by 4

Produkttreue Klassen universeller Algebren

Timm, J. (1969) · Archiv der Mathematik · doi:10.1007/bf01899454 · Cited by 1

Approximation of fixed points of multifunctions in partial metric spaces

Paesano, D. (2015) · Hacettepe Journal of Mathematics and Statistics · doi:10.15672/hjms.2015449088