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Markov chains approximation of jump–diffusion stochastic master equations

Clément Pellegrini (2010)

Annales de l'I.H.P. Probabilités et statistiques

Quantum trajectories are solutions of stochastic differential equations obtained when describing the random phenomena associated to quantum continuous measurement of open quantum system. These equations, also called Belavkin equations or Stochastic Master equations, are usually of two different types: diffusive and of Poisson-type. In this article, we consider more advanced models in which jump–diffusion equations appear. These equations are obtained as a continuous time limit of martingale problems...

Mean number of real zeros of a random hyperbolic polynomial.

Wilkins, J.Ernest jun. (2000)

International Journal of Mathematics and Mathematical Sciences

Mean number of real zeros of a random trigonometric polynomial. IV.

Wilkins, J.Ernest jun. (1997)

Journal of Applied Mathematics and Stochastic Analysis

Mean number of real zeros of a random trigonometric polynomial. III.

Wilkins, J.Ernest jun., Souter, Shantay A. (1995)

Journal of Applied Mathematics and Stochastic Analysis

Mesures aléatoires stationnaires et mesure de Palm

A. Hanen (1973)

Annales de l'I.H.P. Probabilités et statistiques

Mesures aléatoires stationnaires sur un espace produit

C. Hilico (1978)

Annales de l'I.H.P. Probabilités et statistiques

Mesures de Radon sur $𝐑^{n}$ et mesures cylindriques

S. Chevet (1970)

Annales scientifiques de l'Université de Clermont. Mathématiques

Metric unconditionality and Fourier analysis

Stefan Neuwirth (1998)

Studia Mathematica

We investigate several aspects of almost 1-unconditionality. We characterize the metric unconditional approximation property (umap) in terms of “block unconditionality”. Then we focus on translation invariant subspaces $L_{E}^{p} ()$ and $C_{E} ()$ of functions on the circle and express block unconditionality as arithmetical conditions on E. Our work shows that the spaces $p_{E} ()$ , p an even integer, have a singular behaviour from the almost isometric point of view: property (umap) does not interpolate between $L_{E}^{p} ()$ and $L_{E}^{p + 2} ()$ . These...

Multiscale estimation of cell kinetics.

Jean, Larry W., Suchorolski, Martin T., Jeon, Jihyoun, Luebeck, E.Georg (2010)

Computational & Mathematical Methods in Medicine

Multi-variate correlation and mixtures of product measures

Tim Austin (2020)

Kybernetika

Total correlation (‘TC’) and dual total correlation (‘DTC’) are two classical ways to quantify the correlation among an $n$ -tuple of random variables. They both reduce to mutual information when $n = 2$ . The first part of this paper sets up the theory of TC and DTC for general random variables, not necessarily finite-valued. This generality has not been exposed in the literature before. The second part considers the structural implications when a joint distribution $μ$ has small TC or DTC. If $TC (μ) = o (n)$ , then $μ$ is...

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