Results 51 to 60 of about 98,839 (207)
Kolmogorov Equation for a Stochastic Reaction–Diffusion Equation with Multiplicative Noise
Reaction–diffusion equations can model complex systems where randomness plays a role, capturing the interaction between diffusion processes and random fluctuations.
Kaiyuqi Guan, Yu Shi
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Invariant measures whose supports possess the strong open set property [PDF]
Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions on it. If \(P\) is a probability distribution on the maps, and \(K\) is the fractal determined by \(S\), there is a unique Borel probability measure ...
Gerald S. Goodman
doaj
On Sullivan’s invariant measure problem
Sullivan has posed an invariant measure problem for which a positive answer is very plausible. It also seems highly plausible that hyperfinite AW*-factors are injective. Surprisingly, it turns out that one of these problems must have a negative solution.
L. J. Bunce, J. D. Maitland Wright
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Amenability, Countable Equivalence Relations, and Their Full Groups [PDF]
This thesis consists of an introduction and four independent chapters. In Chapter 1, we study homeomorphism groups of metrizable compactifications of the natural numbers. Those groups can be represented as almost zero-dimensional Polishable subgroups
Tsankov, Todor Dimitrov
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Forcing with Invariant Measures
Abstract This paper introduces a model-theoretic generalization of the notion of forcing with random reals, in which forcing gives rise to random generic structures . Specifically, we consider forcing with $$
Nathanael L. Ackerman +4 more
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Moment estimates for invariant measures of stochastic Burgers equations
In this paper, we study moment estimates for the invariant measure of the stochastic Burgers equation with multiplicative noise. Based upon an a priori estimate for the stochastic convolution, we derive regularity properties on invariant measure.
Yu Shi, Bin Liu
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Computing the speed of convergence of ergodic averages and pseudorandom points in computable dynamical systems [PDF]
A pseudorandom point in an ergodic dynamical system over a computable metric space is a point which is computable but its dynamics has the same statistical behavior as a typical point of the system. It was proved in [Avigad et al.
Stefano Galatolo +2 more
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Approximate measurement invariance
This chapter focuses on a practical analysis of the Bayesian approximate measurement invariance model using standard software. It introduces the concept of approximate measurement invariance and illustrates the use of its most basic variant. The chapter discusses the use of measurement invariance testing in latent variable measurement models.
Lek, Kimberley +5 more
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Invariant Measure for Quantum Trajectories
International audienceWe study a class of Markov chains that model the evolution of a quantum system subject to repeated measurements. Each Markov chain in this class is defined by a measure on the space of matrices, and is then given by a random product
T. Benoist +7 more
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Is Lebesgue measure the only σ-finite invariant Borel measure?
S. Saks and recently R.D. Mauldin asked if every translation invariant σ-finite Borel measure on Rd is a constant multiple of Lebesgue measure. The aim of this paper is to investigate the versions of this question, since surprisingly the answer is “yes ...
Keleti, Tamás, Elekes, Márton
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