Tootfinder

This https://arxiv.org/abs/2412.17779 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Ergodic Network Stochastic Differential Equations
We propose a novel framework for Network Stochastic Differential Equations (N-SDE), where each node in a network is governed by an SDE influenced by interactions with its neighbors. The evolution of each node is driven by the interplay of three key components: the node's intrinsic dynamics (\emph{momentum effect}), feedback from neighboring nodes (\emph{network effect}), and a \emph{stochastic volatility} term modeled by Brownian motion. Our primary objective is to estimate the parameters of th…

This https://arxiv.org/abs/2502.02165 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDC_…

Broadcast in Almost Mixing Time
We study the problem of broadcasting multiple messages in the CONGEST model. In this problem, a dedicated source node $s$ possesses a set $M$ of messages with every message of size $O(\log n)$ where $n$ is the total number of nodes. The objective is to ensure that every node in the network learns all messages in $M$. The execution of an algorithm progresses in rounds, and we focus on optimizing the round complexity of broadcasting multiple messages. Our primary contribution is a randomized al…