140 citations · 346 across the 27 of their papers we have counts for
32 papers
Quenched path limits and periodization stability for tilted Brownian motion in Poissonian potentials on
Miklos Abert, Adam Arras, Jaelin Kim
We analyze the existence of Brownian motion tilted by a potential of full support on hyperbolic spaces . On compact spaces, it is classical that these path limits, ca…
The Uniform Random Walk on graphs, loop processes and graphings
Miklos Abert, Adam Arras, Jaelin Kim
We define the Uniform Random Walk (URW) on a connected, locally finite graph as the weak limit of the uniform walk of length starting at a fixed vertex. When the limit exists,…
Growth dichotomy for unimodular random rooted trees
Miklós Abert, Mikołaj Frączyk, Ben Hayes
We show that the growth of a unimodular random rooted tree of degree bounded by always exists, assuming its upper growth passes the critical threshold . Thi…
Impact of physicality on network structure
Márton Pósfai, Balázs Szegedy, Iva Bačić +5
The emergence of detailed maps of physical networks, like the brain connectome, vascular networks, or composite networks in metamaterials, whose nodes and links are physical entiti…
Co-spectral radius for countable equivalence relations
Miklós Abert, Mikolaj Fraczyk, Ben Hayes
We define the co-spectral radius of inclusions of discrete, probability measure-preserving equivalence relations, as the sampling exponent of a genera…
On homology torsion growth
Miklos Abert, Nicolas Bergeron, Mikolaj Fraczyk +1
We prove new vanishing results on the growth of higher torsion homologies for suitable arithmetic lattices, Artin groups and mapping class groups. The growth is understood along Fa…