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Critical Gaussian Multiplicative Chaos: Convergence of the Derivative Martingale
Critical Gaussian Multiplicative Chaos Convergence of the Derivative Martingale Probability
2012/6/29
In this paper, we study Gaussian multiplicative chaos in the critical case. We show that the so-called derivative martingale, introduced in the context of branching Brownian motions and branching rand...
Martingale transform and Levy Processes on Lie Groups
Martingale transform Levy Processes Lie Groups Probability
2012/6/29
This paper constructs a class of martingale transforms based on L\'evy processes on Lie groups. From these, a natural class of bounded linear operators on the $L^p$-spaces of the group (with respect t...
Galton-Watson trees with vanishing martingale limit
Conditioning principle large deviations micro-canonical distribution sharp thresholds branching entropic repulsion
2012/4/16
We show that an infinite Galton-Watson tree, conditioned on its martingale limit being smaller than $\eps$, agrees up to generation $K$ with a regular $\mu$-ary tree, where $\mu$ is the essential mini...
Martingale Couplings and Bounds on the Tails of Probability Distributions
Martingale Couplings and Bounds Probability Distributions Statistics Theory
2011/8/30
Abstract: Hoeffding has shown that tail bounds on the distribution for sampling from a finite population with replacement also apply to the corresponding cases of sampling without replacement. (A spec...
Finitely additive equivalent martingale measures
Arbitrage de Finetti’s coherence principle equivalent martin-gale measure
2011/1/21
Let L be a linear space of real bounded random variables on the probability space ( ,A, P0). There is a finitely additive probability P on A, such that P ∼ P0 and EP (X) = 0 for all X ∈ L.
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 ...
Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
Non-equilibrium Markovian Process Fluctuation-Dissipation Theorems Fluctuation Relations Martingale
2010/12/15
In the context of Markovian evolution, we present two original approaches to obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic derivatives and by using a ...