Zobrazeno 1 - 10
of 720
pro vyhledávání: '"P. Bet"'
We study the near-critical behavior of the sparse Erd\H{o}s-R\'enyi random graph $\mathcal{G}(n,p)$ on $n\gg1$ vertices, where the connection probability $p$ satisfies $np = 1+\theta(b_n^2/n)^{1/3}$, with $n^{3/10}\ll {b_n}\ll n^{1/2}$, and $\theta\i
Externí odkaz:
http://arxiv.org/abs/2312.16941
Synthetic power grids enable secure, real-world energy system simulations and are crucial for algorithm testing, resilience assessment, and policy formulation. We propose a novel method for the generation of synthetic transmission power grids using E
Externí odkaz:
http://arxiv.org/abs/2310.19662
Motivated by the problem of detecting a change in the evolution of a network, we consider the preferential attachment random graph model with a time-dependent attachment function. Our goal is to detect whether the attachment mechanism changed over ti
Externí odkaz:
http://arxiv.org/abs/2310.02603
In the inhomogeneous random graph model, each vertex $i\in\{1,\ldots,n\}$ is assigned a weight $W_i\sim\text{Unif}(0,1)$, and an edge between any two vertices $i,j$ is present with probability $k(W_i,W_j)/\lambda_n\in[0,1]$, where $k$ is a positive,
Externí odkaz:
http://arxiv.org/abs/2306.06396
We consider the problem of detecting whether a power-law inhomogeneous random graph contains a geometric community, and we frame this as an hypothesis testing problem. More precisely, we assume that we are given a sample from an unknown distribution
Externí odkaz:
http://arxiv.org/abs/2303.02965
We theorize the financial health of a company and the risk of its default. A company is financially healthy as long as its equilibrium in the financial system is maintained, which depends on the cost attributable to the probability that equilibrium m
Externí odkaz:
http://arxiv.org/abs/2302.10140
Publikováno v:
Electron. J. Probab. 28: 1-37 (2023)
We consider the Potts model on a two-dimensional periodic rectangular lattice with general coupling constants $J_{ij}>0$, where $i,j\in\{1,2,3\}$ are the possible spin values (or colors). The resulting energy landscape is thus significantly more comp
Externí odkaz:
http://arxiv.org/abs/2208.11869
We consider the ferromagnetic q-state Potts model on a finite grid graph with non-zero external field and periodic boundary conditions. The system evolves according to Glauber-type dynamics described by the Metropolis algorithm, and we focus on the l
Externí odkaz:
http://arxiv.org/abs/2108.04011
We consider the ferromagnetic q-state Potts model on a finite grid graph with non-zero external field and periodic boundary conditions. The system evolves according to Glauber-type dynamics described by the Metropolis algorithm, and we focus on the l
Externí odkaz:
http://arxiv.org/abs/2105.14335
Autor:
Bet, Gianmarco, Fischer, Markus
We propose an algorithm that produces a non-decreasing sequence of subsolutions for a class of optimal control problems distinguished by the property that the associated Bellman operators preserve convexity. In addition to a theoretical discussion an
Externí odkaz:
http://arxiv.org/abs/2103.00936