44 citations · 45 across the 2 of their papers we have counts for
3 papers · 1 filter
Mean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk
Markus Heydenreich, Remco van der Hofstad, Akira Sakai
We consider self-avoiding walk, percolation and the Ising model with long and finite range. By means of the lace expansion we prove mean-field behavior for these models if $d>2(α\w…
Functionals of Brownian bridges arising in the current mismatch in D/A-converters
Markus Heydenreich, Remco van der Hofstad, Georgi Radulov
Digital-to-analog converters (DAC) transform signals from the abstract digital domain to the real analog world. In many applications, DAC's play a crucial role. Due to variability…
Random graph asymptotics on high-dimensional tori
Markus Heydenreich, Remco van der Hofstad
We investigate the scaling of the largest critical percolation cluster on a large d-dimensional torus, for nearest-neighbor percolation in high dimensions, or when d>6 for sufficie…