Page 1 Page 2 Page 3 FUNCTIONAL INTEGRATION AND QUANTUM PHYSICS SECOND
EDITION This One EAH9-RTO-NUBO Page 4 Page 5 FUNCTIONAL INTEGRATION AND …

" The material covered in this book involves important and nontrivial results in contemporary
probability theory motivated by polymer models, as well as other topics of importance in …

The typical values and fluctuations of time-integrated observables of nonequilibrium
processes driven in steady states are known to be characterized by large deviation …

This is a survey on the intermittent behavior of the parabolic Anderson model, which is the
Cauchy problem for the heat equation with random potential on the lattice ℤ d. We first …

Peter Eichelsbacher and Matthias Löwe 1. Introduction Page 1 ESAIM: Probability and Statistics
February 2003, Vol. 7, 209–218 DOI: 10.1051/ps:2003005 MODERATE DEVIATIONS FOR IID …

We establish both the lim sup and the lim inf law of the iterated logarithm (lil) for the capacity
of the range of a simple random walk in any dimension d≥ 3. While for d≥ 4, the order of …

An influential theory of increasing returns was proposed by the economist WB Arthur in the
1980s to explain the lock-in phenomenon between two competing commercial products. In …

We consider random interlacements on Z^ d Z d, d ≥ 3 d≥ 3, when their vacant set is in a
strongly percolative regime. We derive an asymptotic upper bound on the probability that the …

We study downward deviations of the boundary of the range of a transient walk on the
Euclidean lattice. We describe the optimal strategy adopted by the walk in order to shrink the …

Let {S n} be a random walk on ℤ d and let R n be the number of different points among 0, S
1,…, S n− 1. We prove here that if d≥ 2, then ψ (x):= lim n→∞(−: 1/n) log P {R n≥ nx} exists …