most citedSignatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices

4.2k citations

Showing 2020 · math.PRShow all

13 papers · 2 filters

math.PR2020★ 9 cited

Linking the mixing times of random walks on static and dynamic random graphs

Luca Avena, Hakan Güldaş, Remco van der Hofstad +2

This paper considers non-backtracking random walks on random graphs generated according to the configuration model. The quantity of interest is the scaling of the mixing time of th…

math.PR2020★ 8 cited

Disconnection and entropic repulsion for the harmonic crystal with random conductances

Alberto Chiarini, Maximilian Nitzschner

We study level-set percolation for the harmonic crystal on , , with uniformly elliptic random conductances. We prove that this model undergoes a non-trivial…

math.PR2020★ 14 cited

Stochastic Non-Bipartite Matching Models and Order-Independent Loss Queues

Céline Comte

The problem of appropriately matching items subject to compatibility constraints arises in a number of important applications. While most of the literature on matching theory focus…

math.PR2020

Quasi-cliques in inhomogeneous random graphs

Kay Bogerd

Given a graph and a constant , let be the largest integer such that there exists an -vertex subgraph of containing at least …

math.PR2020★ 8 cited

Ollivier curvature of random geometric graphs converges to Ricci curvature of their Riemannian manifolds

Pim van der Hoorn, Gabor Lippner, Carlo Trugenberger +1

Curvature is a fundamental geometric characteristic of smooth spaces. In recent years different notions of curvature have been developed for combinatorial discrete objects such as…

math.PR2020★ 36 cited

Ollivier-Ricci curvature convergence in random geometric graphs

Pim van der Hoorn, William J. Cunningham, Gabor Lippner +2

Connections between continuous and discrete worlds tend to be elusive. One example is curvature. Even though there exist numerous nonequivalent definitions of graph curvature, none…

math.PR2020★ 9 cited

Metastability in a lattice gas with strong anisotropic interactions under Kawasaki dynamics

Simone Baldassarri, Francesca Romana Nardi

In this paper we analyze metastability and nucleation in the context of a local version of the Kawasaki dynamics for the two-dimensional strongly anisotropic Ising lattice gas at v…

math.PR2020★ 20 cited

Weakly interacting oscillators on dense random graphs

Gianmarco Bet, Fabio Coppini, Francesca R. Nardi

We consider a class of weakly interacting particle systems of mean-field type. The interactions between the particles are encoded in a graph sequence, i.e., two particles are inter…

math.PR2020★ 5 cited

Global lower mass-bound for critical configuration models in the heavy-tailed regime

Shankar Bhamidi, Souvik Dhara, Remco van der Hofstad +1

We establish the global lower mass-bound property for the largest connected components in the critical window for the configuration model when the degree distribution has an infini…

math.PR2020★ 2 cited

Stopping explosion by penalising transmission to hubs in scale-free spatial random graphs

Júlia Komjáthy, John Lapinskas, Johannes Lengler

We study the spread of information in finite and infinite inhomogeneous spatial random graphs. We assume that each edge has a transmission cost that is a product of an i.i.d. rando…

math.PR2020★ 3 cited

Distance evolutions in growing preferential attachment graphs

Joost Jorritsma, Júlia Komjáthy

We study the evolution of the graph distance and weighted distance between two fixed vertices in dynamically growing random graph models. More precisely, we consider preferential a…

math.PR2020★ 2 cited

The metric dimension of critical Galton-Watson trees and linear preferential attachment trees

Júlia Komjáthy, Gergely Ódor

The metric dimension of a graph is the minimal size of a subset of vertices of that, upon reporting their graph distance from a distingished (source) vertex ,…

math.PR2020★ 18 cited

Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights

Sebastian Andres, Alberto Chiarini, Martin Slowik

We establish a quenched local central limit theorem for the dynamic random conductance model on only assuming ergodicity with respect to space-time shifts and a mome…