All reports by Author Mert Saglam:

__
TR18-144
| 18th August 2018
__

Mert Saglam#### Near log-convexity of measured heat in (discrete) time and consequences

Mert Saglam

Let $u,v \in \mathbb{R}^\Omega_+$ be positive unit vectors and $S\in\mathbb{R}^{\Omega\times\Omega}_+$ be a symmetric substochastic matrix. For an integer $t\ge 0$, let $m_t = \smash{\left\langle v,S^tu\right\rangle}$, which we view as the heat measured by $v$ after an initial heat configuration $u$ is let to diffuse for $t$ time steps according to ... more >>>