Stochastic Processes in the Decades after 1950
From MaRDI portal
Publication:6096238
DOI10.1007/978-3-031-05988-9_8zbMath1523.60013MaRDI QIDQ6096238
Glenn R. Shafer, Unnamed Author
Publication date: 11 September 2023
Published in: The Splendors and Miseries of Martingales (Search for Journal in Brave)
potential theorymartingalesstochastic processesMalliavin calculusMarkov processeswhite noisestochastic integralnoncommutative probabilitystochastic differential geometrygeneral theory of processes
History of mathematics in the 20th century (01A60) Biographies, obituaries, personalia, bibliographies (01A70) History of probability theory (60-03) Stochastic processes (60Gxx)
Cites Work
- Calcul stochastique et problèmes de martingales
- Conservative diffusions
- Le problème de Dirichlet. Axiomatique et frontière de Martin
- Resolvents, transition functions, and strongly Markovian processes
- Markoff chains and Martin boundaries
- Markoff processes and potentials. I, II, III
- Large deviations and the Malliavin calculus
- The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
- Quantum Ito's formula and stochastic evolutions
- Tightness results for laws of diffusion processes application to stochastic mechanics
- Excessive measures and Markov processes with random birth and death
- Semi-martingales sur des variétés, et martingales conformes sur des variétés analytiques complexes
- Semi-martingales et grossissement d'une filtration
- Segregation of a population in an environment
- Stochastic integration and \(L^ p-\)theory of semimartingales
- Aspects of probabilistic Littlewood-Paley theory
- The Ito-Clifford integral
- Stochastic calculus in manifolds. With an appendix by P.A. Meyer
- Notes on non-commutative integration
- Symmetric Markov processes
- Markov processes: Ray processes and right processes
- Distribution function inequalities for martingales
- On a stochastic integral equation with respect to a weak martingale
- Last exit times and additive functionals
- Stochastic integrals in the plane
- Amarts: A class of asymptotic martingales. II: Continuous parameter
- Excursions in Brownian motion
- On the existence, uniqueness, convergence and explosions of solutions of systems of stochastic integral equations
- Stopping times and tightness
- Prediction processes and an autonomous germ-Markov property
- Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung
- Potential theory. An analytic and probabilistic approach to balayage
- The free Markoff field
- A decomposition theorem for supermartingales
- Decomposition of supermartingales: The uniqueness theorem
- On a class of additive functionals of Markov processes
- The sweeping-out of additive functionals and processes and the boundary
- Transformation of Markov processes by multiplicative functionals
- Note on regularization of Markov processes
- Markov processes and Martin boundaries. I
- To reverse a Markov process
- On extending potential theory to all strong Markov processes
- Extrapolation and interpolation of quasi-linear operators on martingales
- On the uniqueness of solutions of stochastic differential equations. II
- Construction of quantum fields from Markoff fields
- \(H^p\) spaces of several variables
- Systemes de Levy des processus de Markov
- A property of Brownian motion paths
- Boundary properties of functions with finite Dirichlet integrals
- The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
- Fourier-Wiener transforms of functionals belonging to \(L_2\) over the space \(C\)
- Les potentiels d'energie finie
- On the differentiability and the representation of one-parameter semi-group of linear operators
- Multiple Wiener integral
- A non-commutative extension of abstract integration
- The general diffusion operator and positivity preserving semigroups in one dimension
- Fourier-Wiener transforms of analytic functionals
- Transformations of Wiener integrals under translations
- Theory of capacities
- A Probability Approach to the Heat Equation
- Tensor Algebras Over Hilbert Spaces. I
- Some Theorems Concerning Brownian Motion
- An Extended Markov Property
- DIRICHLET SPACES
- Conditional brownian motion and the boundary limits of harmonic functions
- On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures
- On functions of bounded mean oscillation
- Last exit decompositions and regularity at the boundary of transition probabilities
- [https://portal.mardi4nfdi.de/wiki/Publication:3889862 Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions]
- The Malliavin calculus and its application to second order parabolic differential equations: Part I
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- On stochastic differential equations
- Diffusion Processes in One Dimension
- Semimartingales and Subharmonic Functions
- Stochastic integral
- Théorie du potentiel newtonien : énergie, capacité, suites de potentiels
- Markoff Chains--Denumerable Case
- On a stochastic integral equation
- On Brownian motions in $n$-space
- Two-dimensional Brownian motion and harmonic functions
- Quantum stochastic processes
- Stopping Times and Directed Processes
- Construction of Markov Processes with Random Times of Birth and Death
- Martingale Transforms
- [https://portal.mardi4nfdi.de/wiki/Publication:4076585 Caract�ristiques locales et conditions de continuit� absolue pour les semi-martingales]
- Logarithmic Sobolev Inequalities
- Bounded Mean Oscillation and Regulated Martingales
- Balayage and multiplicative functionals
- [https://portal.mardi4nfdi.de/wiki/Publication:4112669 Mesures stochastiques � valeurs dans des espaces L 0]
- On the existence and unicity of solutions of stochastic integral equations
- [https://portal.mardi4nfdi.de/wiki/Publication:4115871 �tude des solutions extr�males et repr�sentation int�grale des solutions pour certains probl�mes de martingales]
- Asymptotic evaluation of certain Markov process expectations for large time—III
- [https://portal.mardi4nfdi.de/wiki/Publication:4121258 Stabilit� des solutions des �quations diff�rentielles stochastiques application aux int�grales multiplicatives stochastiques]
- Study of a filtration expanded to include an honest time
- ? p stability of solutions of stochastic differential equations
- REGULAR MARKOV PROCESSES
- Dual Markov processes: Construction of a useful auxiliary process
- Some Estimates in the Theory of Stochastic Integrals
- A real variable characterization of $H^{p}$
- Wanderings of a Markov Process
- Note on continuous additive functional of the 1-dimensional Brownian path
- On Markov Random Sets
- Time Reversions of Markov Processes
- Quasi-Martingales
- Maximal inequalities as necessary conditions for almost everywhere convergence
- A New Representation for Stochastic Integrals and Equations
- Some Asymptotic Formulas for Wiener Integrals
- Martingale Integrals
- Diffusion processes with continuous coefficients, II
- On Square Integrable Martingales
- Fields, Optionality and Measurability
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Quelques applications de la formule de changement de variables pour les semimartingales
- A Sample Function Property of Martingales
- The Representation of Functionals of Brownian Motion by Stochastic Integrals
- Distribution function inequalities for the area integral
- A quantum-mechanical central limit theorem
- Diffusion processes with boundary conditions
- Characterizations of bounded mean oscillation
- Markov Sets.
- H p -spaces of martingales, 0<p?1
- First Passage times and Sojourn Times for Brownian Motion in Space and the Exact Hausdorff Measure of the Sample Path
- Stochastic Processes Depending on a Continuous Parameter
- Regularity Properties of Certain Families of Chance Variables
- On Distributions of Certain Wiener Functionals
- Diffusion Equation and Stochastic Processes
- On Fluctuations in Coin-Tossing
- Stochastic Differential Equations in a Differentiable Manifold
- On a Formula Concerning Stochastic Differentials
- Applications of Martingale System Theorems