Sentence examples for scaling limit from inspiring English sources

In 2007 Smirnov showed that when the Ising model was taken to the scaling limit, it was conformally invariant.

We prove that if the distances between the starting points are suitably scaled, then the set of occupied sites has a deterministic scaling limit.

The scaling limit is an explicit convex subset of the unit square Q and its boundary has a flat component on the boundary of Q.

Namely, we prove that the random planar map converges in the scaling limit to Liouville quantum gravity under a discrete conformal embedding which we call the Cardy embedding.

If the distance between the lattice points decreases to zero in what is called the scaling limit, the critical probability approaches a final value.

We prove that such processes, when appropriately scaled, have as scaling limit a generalized Ornstein Uhlenbeck process.

Fundamental scaling limits of the switching frequencies were derived.

He also has an interest in probability, and has worked on scaling limits of random planar maps.

Frank, D. J., Dennard, R. H., Nowak, E., Solomon, P. M., Taur, Y. & Wong, H. S. P. Device scaling limits of Si MOSFETs and their application dependencies.

Conventional high-performance embedded system technology has reached fundamental scaling limits of single CPU/DSP performance and ASIC/FPGA hardware development productivity.

We describe challenges we encountered and design decisions we made in implementing our prototype, then evaluate the performance of our system and seek its scaling limits.