N. Gantert

activity

20022026

most citedLarge Deviations for Weighted Sums of Stretched Exponential Random Variables

38 citations · 251 across the 56 of their papers we have counts for

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Showing 2015 · math.PRShow all

3 papers · 2 filters

math.PR2015

Large deviations for random projections of $ℓ^{p}$ balls

Nina Gantert, Steven Soojin Kim, Kavita Ramanan

Let $p \in [1, \infty]$ . Consider the projection of a uniform random vector from a suitably normalized $ℓ^{p}$ ball in $R^{n}$ onto an independent random vector from the unit…

math.PR2015

Einstein relation and steady states for the random conductance model

Nina Gantert, Xiaoqin Guo, Jan Nagel

We consider random walk among iid, uniformly elliptic conductances on $Z^{d}$ , and prove the Einstein relation (see Theorem 1). It says that the derivative of the velocity of…

math.PR2015

Cramér's theorem is atypical

Nina Gantert, Steven Soojin Kim, Kavita Ramanan

The empirical mean of $n$ independent and identically distributed (i.i.d.) random variables $(X_{1}, \dots, X_{n})$ can be viewed as a suitably normalized scalar projection of the $n$ -di…

Large deviations for random projections of ℓp balls

Einstein relation and steady states for the random conductance model

Cramér's theorem is atypical

Large deviations for random projections of $ℓ^{p}$ balls