E
Erkan Nane
Researcher at Auburn University
Publications - 120
Citations - 2276
Erkan Nane is an academic researcher from Auburn University. The author has contributed to research in topics: Fractional calculus & Subordinator. The author has an hindex of 23, co-authored 113 publications receiving 1989 citations. Previous affiliations of Erkan Nane include Purdue University & Michigan State University.
Papers
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Strong laws of large numbers for arrays of random variables and stable random fields
TL;DR: In this paper, strong laws of large numbers are established for random fields with weak or strong dependence, and conditions for SLLN are described in terms of the p-th moments of the partial sums of the random fields, which are convenient to verify.
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Regularized solutions for some backward nonlinear parabolic equations with statistical data
TL;DR: In this paper, the backward problem of determining initial condition for some class of nonlinear parabolic equations in multidimensional domain where data are given under random noise was studied, and the convergence rate between the regularized solution and the solution of their equations was investigated.
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Moment bounds of a class of stochastic heat equations driven by space–time colored noise in bounded domains
Ngartelbaye Guerngar,Erkan Nane +1 more
TL;DR: In this article, the authors considered the fractional stochastic heat type equation ∂ ∂ t u t (x) = − ( − Δ ) α ∕ 2 u t(x) + ξ σ ( u t ) ) F ( t, x ), x ∈ D, t > 0, with nonnegative bounded initial condition, where α ∈ ( 0, 2 ], ξ > 0 is the noise level, σ : R → R is a globally Lipschitz function satisfying some growth conditions and the noise term
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Moment bounds of a class of stochastic heat equations driven by space-time colored noise in bounded domains
Ngartelbaye Guerngar,Erkan Nane +1 more
TL;DR: In this article, the authors consider the fractional stochastic heat type equation with nonnegative bounded initial condition and derive explicit bounds leading to a well-known intermittency property.
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Iterated Brownian Motion in Parabola-Shaped Domains
TL;DR: In this paper, the authors derived the large time asymptotics of planar iterated Brownian motion in a parabola-shaped domain, where the first exit time of this process from a domain started at the point where the process was started, and the distribution of the lifetime of the process in the domain was determined.