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Localization for a Random Walk in Slowly Decreasing Random Potential
(SpringerNew YorkEUA, 2013)
Relating random vector and random finite set estimation in navigation, mapping, and tracking
(2017)
Navigation, mapping, and tracking are state estimation problems relevant to a wide range of applications. These problems have traditionally been formulated using random vectors in stochastic filtering, smoothing, or ...
ON A GENERAL MANY-DIMENSIONAL EXCITED RANDOM WALK
(INST MATHEMATICAL STATISTICS, 2012)
In this paper we study a substantial generalization of the model of excited random walk introduced in [Electron. Commun. Probab. 8 (2003) 86-92] by Benjamini and Wilson. We consider a discrete-time stochastic process (X-n, ...
Asymptotic expansion of the invariant measure for ballistic random walk in the low disorder regime
(2015)
We consider a random walk in random environment in the low disorder regime on Zd. That is, the probability that the random walk jumps from a site x to a nearest neighboring site x+e is given by p(e)+ǫξ(x,e), where p(e) is ...
Spherical functions approach to sums of Random Hermitian Matrices
(Oxford University Press, 2017-07)
We present an approach to sums of random Hermitian matrices via the theory of spher- ical functions for the Gelfand pair (U(n) Herm(n), U(n)). It is inspired by a similar approach of Kieburg and Kösters for products of ...
Normality in non-integer bases and polynomial time randomness
(Academic Press Inc Elsevier Science, 2015-04)
It is known that if x ∈ [0, 1] is polynomial time random (i.e. no polynomial time computable martingale succeeds on the binary fractional expansion of x) then x is normal in any integer base greater than one. We show that ...
Gaussian random permutation and the boson point process
(Cornell University, 2019-06)
We construct an infinite volume spatial random permutation (χ,σ), where χ⊂ℝd is a point process and σ:χ→χ is a permutation (bijection), associated to the formal Hamiltonian H(χ,σ)=∑_x∈χ‖x−σ(x)‖2. The measures are parametrized ...