We study the behaviour of a symmetric exclusion process in presence non-Markovian stochastic resetting, where configuration system is reset to step-like profile at power-law waiting times with an exponent $\alpha$. find that resetting leads rich for currents, as well density profile. show that, any finite system, $\alpha<1$, eventually becomes uniform while $\alpha >1$, eventual non-trivial sta...

\( \newcommand\norm[1]{\left\lVert#1\right\rVert}\newcommand\normx[1]{\left\Vert#1\right\Vert} \)In this paper several tensorial norm inequalities for continuous functions of selfadjoint operators in Hilbert spaces have been obtained. Multiple are obtained with variations due to the convexity properties mapping $f$$$\norm{(1\otimes B-A\otimes 1)^{-1}[\operatorname{exp}(1\otimes B)-\operatorname...

&lt;abstract&gt;&lt;p&gt;We study the decay/growth rates in all $ L^p norms of solutions to an inhomogeneous nonlocal heat equation \mathbb{R}^N involving a Caputo \alpha $-time derivative and power \beta Laplacian when dimension is large, N &amp;gt; 4\beta $. Rates depend strongly on space-time scale time behavior spatial L^1 norm forcing term.&lt;/p&gt;&lt;/abstract&gt;

Locality preserving projection (LPP) is an effective dimensionality reduction method based on manifold learning, which is defined over the graph weighted squared 2-norm distances in the projected subspace. Since squared 2-norm distance is prone to outliers, it is desirable to develop a robust LPP method. In this paper, motivated by existing studies that improve the robustness of statistical lea...