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Journal Article
Journal Article
Electronic Communications in Probability, ISSN 1083-589X, 03/2014, Volume 19, pp. 1 - 16
.... sequence of words is obtained. In the annealed LDP (large deviation principle) for the empirical process of words, the rate function is the specific relative entropy of the observed law of words w.r.t... 
Renewal times | Specific relative entropy | Mixing | Empirical process | Letters and words | Rate function | Annealed vs. quenched large deviation principle | renewal times | mixing | empirical process | rate function | STATISTICS & PROBABILITY | annealed vs. quenched large deviation principle | specific relative entropy | UNIQUENESS | Probability | Mathematics
Journal Article
ANNALS OF PROBABILITY, ISSN 0091-1798, 11/2017, Volume 45, Issue 6B, pp. 4419 - 4476
...) ball in R-n onto an independent random vector from the unit sphere. We show that sequences of such random projections, when suitably normalized, satisfy a large deviation principle (LDP... 
MODERATE DEVIATIONS | EMPIRICAL PROCESSES | random projections | THEOREM | STABILITY | variational formula | EXCHANGEABLE RANDOM-VARIABLES | STATISTICS & PROBABILITY | Large deviations | CONVEX-SETS | central limit theorem for convex sets | RANDOM ENVIRONMENT | l(p)-balls | annealed and quenched large deviations | DISTRIBUTIONS | RANDOM-WALKS | self-normalized large deviations | HIGH DIMENSION
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 7/2013, Volume 152, Issue 2, pp. 213 - 236
Journal Article
Electronic Journal of Probability, ISSN 1083-6489, 2017, Volume 22
Journal Article
Electronic journal of probability, ISSN 1083-6489, 2011, Volume 16, Issue 20, pp. 552 - 586
Journal Article
Annales de l'institut Henri Poincare (B) Probability and Statistics, ISSN 0246-0203, 08/2010, Volume 46, Issue 3, pp. 853 - 868
In his 2003 paper, Varadhan proves the averaged large deviation principle for the mean velocity of a particle taking a nearest-neighbor random walk in a uniformly elliptic i.i.d. environment on Z(d) with d... 
Disordered media | Regeneration times | Rare events | Rate function | DIMENSIONAL RANDOM-WALK | STATISTICS & PROBABILITY | REVERSIBLE MARKOV-PROCESSES | QUENCHED LARGE DEVIATIONS | 60F10 | 82C44 | 60K37
Journal Article
Journal of Theoretical Probability, ISSN 0894-9840, 01/2016, Volume 30, Issue 3
We consider a continuum percolation model on $\R^d$, $d\geq 1$.For $t,\lambda\in (0,\infty)$ and $d\in\{1,2,3\}$, the occupied set is given by the union of... 
Probability | Mathematics
Journal Article
Probability Theory and Related Fields, ISSN 0178-8051, 12/2002, Volume 124, Issue 4, pp. 487 - 516
Journal Article
Annales de l'institut Henri Poincare (B) Probability and Statistics, ISSN 0246-0203, 05/2010, Volume 46, Issue 2, pp. 414 - 441
Journal Article
Proceedings of the International Congress of Mathematicians 2010, ICM 2010, 2010, pp. 2258 - 2274
Conference Proceeding
MARKOV PROCESSES AND RELATED FIELDS, ISSN 1024-2953, 2012, Volume 18, Issue 4, pp. 595 - 612
...) similar to D/n for some constant D > 0 (n -> infinity), the decay rates to zero of the quenched and annealed Lyapunov exponents coincide and equal cn(-1/2... 
SURVIVAL | quenched | STATISTICS & PROBABILITY | random potential | Green function | ANNEALED LYAPOUNOV EXPONENTS | Combes - Thomas estimate | Brownian motion | OPERATOR | WIENER SAUSAGE | Lyapunov exponent | ASYMPTOTICS | LARGE DEVIATIONS | annealed
Journal Article
Electronic Journal of Probability, ISSN 1083-6489, 2016, Volume 21
We consider a one dimensional random walk in a random environment (RWRE) with wa positive speed lim(n ->infinity) X-n/n = v(alpha) > 0. Gantert and Zeitouni... 
Random walk in random environment | Large deviations | Quenched | large deviations | LIMITS | STATISTICS & PROBABILITY | quenched | random walk in random environment | TRANSIENT
Journal Article
Probability Theory and Related Fields, ISSN 0178-8051, 5/2007, Volume 138, Issue 1, pp. 177 - 193
Journal Article
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