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Markov property of determinantal processes with extended sine, Airy, and Bessel kernels
Determinantal processes Correlation kernels Random matrix theory Infinite particle systems Markov property Entire function and topology
2011/7/7
When the number of particles is finite, the noncolliding Brownian motion (the Dyson model) and the noncolliding squared Bessel process are determinantal diffusion processes for any deterministic initi...
Markov property of determinantal processes with extended sine, Airy, and Bessel kernels
Determinantal processes Correlation kernels Random matrix theory Infinite particle systems Markov property
2011/7/28
Abstract: When the number of particles is finite, the noncolliding Brownian motion (the Dyson model) and the noncolliding squared Bessel process are determinantal diffusion processes for any determini...
Martingale problems on Banach spaces -- Existence, uniqueness and the Markov property
Martingale solution strong Markov property stochastic partial differential equation
2010/12/6
We study (local) martingale problems on a general separable Banach space E and apply our results to stochastic evolution equations. In particular,we prove that if such an equation is well-posed, then ...