On the notion(s) of duality for Markov processes
type: Item
instance of: scholarly article
title: On the notion(s) of duality for Markov processes
zbMATH Open document ID: 1292.60077
DOI: 10.1214/12-PS206
author: Yanyan Li
published in: Probability Surveys
publication date: 2014-05-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1210.7193
full work available at URL: https://projecteuclid.org/euclid.ps/1398778562
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 46N30
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 60J05
zbMATH DE Number: 6299019
MaRDI profile type: Publication
arXiv ID: 1210.7193
cites work: Geometric aspects of quantum spin states
cites work: Graphical representation of some duality relations in stochastic population models
cites work: Applied Probability and Queues
cites work: Monotone Stochastic Recursions and their Duals
cites work: Systems of branching, annihilating, and coalescing particles
cites work: Uniqueness for a class of one-dimensional stochastic PDEs using moment duality.
cites work: Stochastic flows associated to coalescent processes
cites work: A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks
cites work: Q5556844
cites work: Q3415147
cites work: Q4208848
cites work: Beta-gamma random variables and intertwining relations between certain Markov processes
cites work: Markov Processes, Brownian Motion, and Time Symmetry
cites work: A duality relation for entrance and exit laws for Markov processes
cites work: A sample path proof of the duality for stochastically monotone Markov processes
cites work: Spatial Fleming-Viot models with selection and mutation
cites work: Q3959893
cites work: Mathematical methods for hydrodynamic limits
cites work: Wall and Siegmund duality relations for birth and death chains with reflecting barrier
cites work: Strong stationary times via a new form of duality
cites work: A countable representation of the Fleming-Viot measure-valued diffusion
cites work: Particle representations for measure-valued population models
cites work: On times to quasi-stationarity for birth and death processes
cites work: Course 11 Evolution in fluctuating populations
cites work: Some mathematical models from population genetics. École d'Été de Probabilités de Saint-Flour XXXIX-2009
cites work: Comparing Fleming-Viot and Dawson-Watanabe processes
cites work: Q3721531
cites work: Q5624436
cites work: Strong stationary duality for continuous-time Markov chains. I: Theory
cites work: Duality and hidden symmetries in interacting particle systems
cites work: Quantum Heisenberg models and their probabilistic representations
cites work: Additive and cancellative interacting particle systems
cites work: Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
cites work: Additive set-valued Markov processes and graphical methods
cites work: Q5615626
cites work: Q5727906
cites work: Ergodic theorems for weakly interacting infinite systems and the voter model
cites work: Q4160193
cites work: Dual processes and their application to infinite interacting systems
cites work: Markoff processes and potentials. I, II, III
cites work: Duality and intertwining for discrete Markov kernels: relations and examples
cites work: Graphical representation of certain moment dualities and application to population models with balancing selection
cites work: The Classification of Birth and Death Processes
cites work: Q3516433
cites work: Transformations of Galton-Watson processes and linear fractional reproduction
cites work: Q5791821
cites work: Interacting particle systems. With a new postface.
cites work: Q5811575
cites work: Quantum operators in classical probability theory. I: ``Quantum spin'' techniques and the exclusion model of diffusion
cites work: The concept of duality and applications to Markov processes arising in neutral population genetics models
cites work: Q3266127
cites work: Weak uniqueness for the heat equation with noise
cites work: Lectures on Choquet's theorem
cites work: Q3909512
cites work: Q4328337
cites work: Probability on groups: Random walks and invariant diffusions
cites work: The equivalence of absorbing and reflecting barrier problems for stochastically monotone Markov processes
cites work: Dual families of interacting particle systems on graphs
cites work: Quantum operators in classical probability theory. II: The concept of duality in interacting particle systems
cites work: Quantum operators in classical probability theory. IV: Quasi-duality and thinnings of interacting particle systems
cites work: Interaction of Markov processes
cites work: Q3085444
cites work: Improved lower bound on thermodynamic pressure of the spin 1/2 Heisenberg ferromagnet

On the notion(s) of duality for Markov processes (cites work)
cites work: Q3821377