In [Ergodic Theory Dynam. System, 16 (1996) 663–682], S. Ferenczi proved that any minimal subshift with first difference of complexity bounded by 2 is S-adic with Card(S) ≤ 327. In this paper, we improve this result by giving an S-adic charaterization of these subshifts with a set S of 5 morphisms, solving by this way the S-adic conjecture for this particular case.

In this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. Weobserve that over a commutative ring $R$, $Bbb{AG}_*(_RM)$ isconnected and diam$Bbb{AG}_*(_RM)leq 3$. Moreover, if $Bbb{AG}_*(_RM)$ contains a cycle, then $mbox{gr}Bbb{AG}_*(_RM)leq 4$. Also for an $R$-module $M$ with$Bbb{A}_*(M)neq S(M)setminus {0}$, $...

We consider the nonlinear conjugate multi-point boundary value problem with feedback control that finds functions $ u and q satisfying$ \begin{align*} & \mathcal Lu(t) = q(t)F[t,u(t),u'(t),..., u^{(m-1)}(t)],\,\, q(t) \in \Phi[t,u(t)],\,\,\, t\in I, \hfill \\ u^{(j)}(t_i) 0, \,\,\,\,\, 1\leq i \leq l,\,\,\,\, 0\leq j\leq k_i-1, \end{align*} $where L is a linear differential operator of orde...

For $m,n\in\mathbb{N}$ let $X=(X_{ij})_{i\leq m,j\leq n}$ be a random matrix, $A=(a_{ij})_{i\leq real deterministic and $X_A=(a_{ij}X_{ij})_{i\leq the corresponding structured matrix. We study expected operator norm of $X_A$ considered as between $\ell_p^n$ $\ell_q^m$ for $1\leq p,q \leq \infty$. prove optimal bounds up to logarithmic terms when underlying matrix $X$ has i.i.d. Gaussian entries...

Environmental noise has reached an alarming level and is affecting the exposed population. The levels are elevated during festival season. This study aims to explore influence of prime festivals on in urban area. 18 locations Raipur city Chhattisgarh, India, were selected for conducting Ganesh Utsav, Dussehra, Diwali festivals. Study equivalent (Leq) other parameters Traffic index (TNI), Noise ...

Soundscape is a sound environment that emphasizes the awareness of auditory perception and social or cultural understandings. The case of spatial perception is significant to soundscape. However, previous studies on the auditory spatial perception of the soundscape environment have been limited. Based on 21 native binaural-recorded soundscape samples and a set of auditory experiments for subjec...

Trends in precipitation chemistry and hydrologic and climatic data were examined as drivers of long-term changes in the chemical composition of high-elevation lakes in three wilderness areas in Colorado during 1985–2008. Sulfate concentrations in precipitation decreased at a rate of -0.15 to -0.55 leq/l/year at 10 high-elevation National Atmospheric Deposition Program stations in the state duri...

Using the auroral boundary index derived from DMSP electron precipitation data and the Dst index, changes in the size of the auroral belt during magnetic storms are studied. It is found that the equatorward boundary of the belt at midnight expands equatorward, reaching its lowest latitude about one hour before Dst peaks. This time lag depends very little on storm intensity. It is also shown tha...