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Showing 1 to 4 of 4 for “"Stein's Method"”.
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Behavior of the time-dependent Heisenberg spin system Stein's method and physically interesting processes
… equilibrium, where we explore the tool known as Stein's method, used for determining convergence rates to thermodynamic limits, both in an example proof for a mean field Ising system and in tightening a previous result for the equilibrium mean field Heisenberg system. We then model the evolution …
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Applications of Stein's method and large deviations principle's in mean-field O(N) models
… limit. Using theory of large deviations and Stein's method, in particular, Cramér and Sanov-type results, we present a number of results coming from the limit theorems with rates of convergence, and phase transition behavior for classical XY model. In the second part, we will generalize our …
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MIW Sequences
… quantum harmonic oscillator has been shown via Stein's method [13, 5,15, 12]. In the Wasserstein-1 metric, this occurs with rate $\calO(\sqrt{\log N}/N)$. In this context, we define a general notion of MIW sequences as a kind of discrete approximation of continuous functions. MIW sequences are …
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Some application of Malliavin calculus to SPDE and convergence of densities
… in time and up to 1/2 in space. Using our new method of Malliavin calculus, we improve their result and obtain the optimal exponent 1/4 in time. In Chapter 5, we study the convergence of densities of a sequence of random variables to a normal density. The random variables considered are …