A. Srapionyan

collaborators

4 papers

math.PR2019

Spectral projections correlation structure for short-to-long range dependent processes

Pierre Patie, Anna Srapionyan

Let $X = (X_{t})_{t \geq 0}$ be a stochastic process issued from $x \in R$ that admits a marginal stationary measure $ν$ , i.e. $ν P_{t} f = ν f$ for all…

math.PR2019

On non-local ergodic Jacobi semigroups: spectral theory, convergence-to-equilibrium and contractivity

Patrick Cheridito, Pierre Patie, Anna Srapionyan +1

In this paper, we introduce and study non-local Jacobi operators, which generalize the classical (local) Jacobi operators. We show that these operators extend to generators of ergo…

math.PR2019

Self-similar Cauchy problems and generalized Mittag-Leffler functions

P. Patie, A. Srapionyan

By observing that the fractional Caputo derivative can be expressed in terms of a multiplicative convolution operator, we introduce and study a class of such operators which also h…

math.SP2016

Riesz bases generated by the spectra of Sturm-Liouville problems

Tigran Harutyunyan, Avetik Pahlevanyan, Anna Srapionyan

Let ${λ_{n}^{2}}_{n = 0}^{\infty}$ be the spectra of a Sturm-Liouville problem on $[0, π]$ . We investigate the question: Do the systems ${cos (λ_{n} x)}_{n = 0}^{\infty}$ or $\{\sin(λ_n x)…