Diffusions, Markov processes, and martingales
Data up to Jan 2025
Total Citations Per Year
Abstract
References (210)
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1973 • 837 citations
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1972 • 380 citations
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1978 • 369 citations
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1973 • 318 citations
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A comparison theorem for solutions of stochastic differential equations and its applications
1977 • 314 citations
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A Real Variable Lemma and the Continuity of Paths of Some Gaussian Processes
1970 • 290 citations
Almost sure behavior of sums of independent random variables and martingales
1967 • 288 citations
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1973 • 277 citations
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1957 • 253 citations
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Some Theorems Concerning 2-Dimensional Brownian Motion
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First passage times and sojourn times for Brownian motion in space and the exact Hausdorff measure of the sample path
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The Representation of Functionals of Brownian Motion by Stochastic Integrals
1970 • 242 citations
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1980 • 237 citations
Dynamic Programming Conditions for Partially Observable Stochastic Systems
1973 • 232 citations
Excursions in Brownian motion
1976 • 226 citations
Une solution simple au probleme de Skorokhod
1979 • 223 citations
On discontinuous additive functionals and Lévy measures of a Markov process
1964 • 220 citations
Poisson Point Processes Attached to Markov Processes
1987 • 213 citations
Generalized second order differential operators and their lateral conditions
1957 • 212 citations
Liens entre équations différentielles stochastiques et ordinaires
1977 • 210 citations
Semimartingales and Markov processes
1980 • 208 citations
Stochastic Differential Equations in a Differentiable Manifold
1950 • 206 citations
Stationary random distributions
1954 • 201 citations
Quelques applications de la formule de changement de variables pour les semimartingales
1970 • 201 citations
The Design of Robust Approximations to the Stochastic Differential Equations of Nonlinear Filtering
1978 • 194 citations
Fluctuation theory in continuous time
1975 • 192 citations
Bessel diffusions as a one-parameter family of diffusion processes
1973 • 192 citations
Derivatives of Wiener functionals and absolute continuity of induced measures
1980 • 186 citations
ON CONTINUOUS MARTINGALES
1965 • 183 citations
On Boundaries and Lateral Conditions for the Kolmogorov Differential Equations
1957 • 182 citations
Some Probabilistic Properties of Bessel Functions
1978 • 170 citations
On the infinite divisibility of the lognormal distribution
1977 • 168 citations
Kolmogoroff's theory of locally isotropic turbulence
1947 • 162 citations
Brownian Motion with a Several-Dimensional Time
1963 • 161 citations
Sojourn times of diffusion processes
1963 • 159 citations
Hitting probabilities of single points for processes with stationary independent increments
1969 • 159 citations
On a stochastic integral equation
1946 • 158 citations
A Stopped Brownian Motion Formula
1975 • 157 citations
Local times and sample function properties of stationary Gaussian processes
1969 • 156 citations
Processus de Markov
1967 • 152 citations
Embeddings and immersions in Riemannian geometry
1970 • 147 citations
On a multiplicative functional transformation arising in nonlinear filtering theory
1980 • 142 citations
Fluctuation identities for lévy processes and splitting at the maximum
1980 • 136 citations
On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations
1972 • 134 citations
Demonstration simplifiee d'un theoreme de Knight
2006 • 123 citations
On Distributions of Functionals Related to Boundary Problems for Processes with Independent Increments
1966 • 120 citations
Markov processes and martin boundaries part I
1965 • 118 citations
Excursions of Brownian motion and bessel processes
1979 • 118 citations
Gaussian Processes with Stationary Increments: Local Times and Sample Function Properties
1970 • 117 citations
Decomposing the Brownian path
1970 • 115 citations
On the Existence, Uniqueness, Convergence and Explosions of Solutions of Systems of Stochastic Integral Equations
1977 • 113 citations
�tude des solutions extr�males et repr�sentation int�grale des solutions pour certains probl�mes de martingales
1977 • 109 citations
On a comparison theorem for solutions of stochastic differential equations and its applications
1973 • 108 citations
The student t-distribution of any degree of freedom is infinitely divisible
1976 • 108 citations
Grossissement d’une filtration et semi-martingales : Formules explicites
1978 • 106 citations
Study of a filtration expanded to include an honest time
1978 • 104 citations
Excursions of a Markov Process
1979 • 103 citations
Markov processes and Martin boundaries
1963 • 102 citations
Formules de la moyenne, calcul de perturbations et théorèmes d'annulation pour les formes harmoniques
1974 • 99 citations
Syst�mes de l�vy des processus de markov
1973 • 97 citations
Necessary and Sufficient Conditions for Almost Sure Sample Stability of Linear Ito Equations
1971 • 92 citations
Resolvents, Transition Functions, and Strongly Markovian Processes
1959 • 91 citations
Proof of the law of iterated logarithm through diffusion equation
1959 • 83 citations
Boundaries induced by non-negative matrices
1956 • 81 citations
Theory of Markov Processes.
1962 • 78 citations
Local times for Markov processes
1964 • 77 citations
To reverse a Markov process
1969 • 76 citations
Une Generalisation des Processus à Accroissements Positifs Independants
1961 • 74 citations
On Decomposition Theorems of Meyer.
1969 • 74 citations
Resultats de Kesten sur les processus a accroissements independants
2006 • 73 citations
Probabilistic approach in potential theory to the equilibrium problem
1973 • 70 citations
A Path Decomposition for Markov Processes
1978 • 70 citations
Last Exit Times and Additive Functionals
1973 • 69 citations
On the integral representation of functionals of ltd processest
1980 • 68 citations
The Martin boundary for Polya's urn scheme, and an application to stochastic population growth
1964 • 66 citations
On a class of additive functionals of Markov processes
1965 • 65 citations
Harmonic analysis of local times and sample functions of Gaussian processes
1969 • 64 citations
Classical mechanics, the diffusion (heat) equation and the Schrödinger equation on a Riemannian manifold
1981 • 63 citations
Class 𝐷 supermartingales
1963 • 63 citations
Systèmes markoviens et stationnaires. Cas dénombrable
1951 • 62 citations
Presentation Unifiee de Certaines Inegalites de la Theorie des Martingales
2002 • 62 citations
Markov properties of Brownian local time
1969 • 59 citations
Brownian local times
1975 • 58 citations
Last Exit Decompositions and Distributions
1973 • 57 citations
On Brownian motion in a homogeneous Riemannian space
1952 • 56 citations
Dual Markov processes: Construction of a useful auxiliary process
1979 • 55 citations
Hölder conditions for realizations of Gaussian processes
1961 • 55 citations
Denumerable Markov Processes (II)
1959 • 54 citations
Finely holomorphic functions
1980 • 54 citations
Limit Theorems for Markov Processes
1958 • 54 citations
Excursions of a non-singular diffusion
1963 • 54 citations
Approximating Countable Markov Chains
1983 • 53 citations
A reduction of continuous square-integrable martingales to Brownian motion
1971 • 52 citations
Picard’s theorem and Brownian motion
1975 • 50 citations
Existence du processus croissant naturel associ� � un potentiel de la classe (D)
1968 • 49 citations
Construction of Local Time and Poisson Point Processes from Nested Arrays
1980 • 49 citations
The Bessel Polynomials and the StudenttDistribution
1976 • 47 citations
Stochastic Riemannian Geometry
1978 • 47 citations
Stochastic parallel displacement
1975 • 47 citations
Equations differentielles stochastiques
1977 • 46 citations
Note on regularization of markov processes
1965 • 46 citations
Coterminal families and the strong Markov property
1973 • 44 citations
The Infinite Divisibility of the Von Mises-Fisher Distribution for All Values of the Parameter in all Dimensions
1977 • 41 citations
Séminaire de Probabilités XII
1978 • 40 citations
Splitting times and shift functionals
1979 • 39 citations
L�vy's downcrossing theorem
1977 • 38 citations
Conditional Distributions and Tightness
1974 • 37 citations
Multiple points for symmetric Lévy processes
1978 • 36 citations
Splitting times for Markov processes and a generalised Markov property for diffusions
1974 • 36 citations
The Condenser Problem
1977 • 33 citations
A note on the Q-matrices of Markov Chains
1967 • 31 citations
Meyer's theorem on predictability
1974 • 30 citations
A TOTALLY UNSTABLE DENUMERABLE MARKOV PROCESS
1958 • 26 citations
An Introduction to Stochastic Differential Equations on Manifolds
1973 • 26 citations
On a stopped Brownian motion formula of H.M. Taylor
1976 • 25 citations
The $Q$-matrix problem for Markov chains
1975 • 25 citations
SOME THEOREMS CONCERNING RESOLVENTS OVER LOCALLY COMPACT SPACES
1967 • 25 citations
Lattice Methods and Submarkovian Processes
1961 • 23 citations
The Measure of the Range of a Subordinator
1973 • 22 citations
Ensembles aléatoires markoviens homogènes (III)
2006 • 21 citations
Dual markov functionals: Applications of a useful auxiliary process
1979 • 21 citations
State spaces for Markov chains
1970 • 21 citations
The Knotting of Brownian Motion in 3-Space
1979 • 19 citations
Sur les états d'entrée et les états fictifs d'un processus de Markov
1962 • 17 citations
Excision of a strong Markov process
1972 • 17 citations
Brownian Motions and Diffusions as Markov Processes
1974 • 15 citations
Conditional excursion theory
1979 • 15 citations
Application of additive functionals to the boundary problem of Markov processes. Lévy's system of U-processes
1967 • 14 citations
The Q-matrix problem
1976 • 13 citations
Unbounded local times
1974 • 13 citations
The law of the iterated logarithm for Banach space valued random variables
1976 • 11 citations
Une Theorie de la Dualite a Ensemble Polaire Pres II
1976 • 10 citations
Processus markoviens et stationnaires. Cas dénombrable
1958 • 8 citations
Quelques exemples familiers, en probabilites, d’ensembles analytiques, non boreliens
1978 • 6 citations
Diffusions à coefficients continus d’après D.W. Stroock et S.R.S. Varadhan
1970 • 6 citations
Classical Potential Theory and Brownian Motion
1972 • 5 citations
Logarithmic Potentials and Planar Brownian Motion
1972 • 2 citations
Annonçabilite des temps previsibles: Deux contre-exemples
1980 • 2 citations