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Fluctuation bounds in the exponential bricklayers process
Interacting particle systems universal fluctuation bounds second class particle convexity bricklayers process
2011/9/20
Abstract: This paper is the continuation of our earlier paper, where we proved t^{1/3}-order of current fluctuations across the characteristics in a class of one dimensional interacting systems with o...
Models of diffusion driven pattern formation that rely on the Turing mechanism are utilized in many areas of science. However, many such models suffer from the defect of requiring fine tuning of param...
Random modification effect in the size of the fluctuation of the LCS of two sequences of i.i.d. blocks
the LCS two sequences
2010/11/18
The problem of the order of the fluctuation of the Longest Common Subsequence (LCS) of two independent sequences has been open for decades. There exist contradicting conjectures on the topic, due to ...
On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements
Lossless Approximations Fluctuation-Dissipation Theorem Limitations of Measurements
2010/12/6
In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics, and use the results to derive limitations of classical measurements.
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 ...