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Autor:
Sethuraman, Sunder, Varadhan, S. R. S.
Consider the asymmetric nearest-neighbor exclusion process (ASEP) on ${\mathbb Z}$ with single particle drift $\gamma>0$, starting from a Bernoulli product invariant measure $\nu_\rho$ with density $\rho$. It is known that the position $X_{N}$ of a t
Externí odkaz:
http://arxiv.org/abs/2311.07800
We prove that there is a constant $\overline C\in (0,\infty)$ such that the effective mass $m(\alpha)$ of the Fr\"ohlich Polaron satisfies $m(\alpha) \geq \overline C \alpha^4$, which is sharp according to a long-standing prediction of Landau-Pekar [
Externí odkaz:
http://arxiv.org/abs/2307.13058
Elections are the backbone of any democratic country, where voters elect the candidates as their representatives. The emergence of social networking sites has provided a platform for political parties and their candidates to connect with voters in or
Externí odkaz:
http://arxiv.org/abs/2204.08746
Social media platforms have emerged as a hub for political and social interactions, and analyzing the polarization of opinions has been gaining attention. In this study, we have proposed a measure to quantify polarization on social networks. The prop
Externí odkaz:
http://arxiv.org/abs/2204.08697