6 papers
VbotNav-0: Asynchronous Cloud-Edge Dual-Policy Navigation across Indoor and Outdoor Environments
Shiqi Tan, Yujun Zhang, Keyu Li +4
Continuous indoor-outdoor navigation connects destination-level reasoning with motion decisions that must respond to current observations. We present VbotNav-0, a cloud-edge dual-p…
On the most likely geodesic in last passage percolation
Sam McKeown, Shuta Nakajima
We consider the problem of identifying the paths most likely to occur as geodesics in last passage percolation. Heuristics suggest that these modal paths should be the extreme corn…
Sharp behavior of the free energy for the two-dimensional directed polymer model
Quentin Berger, Shuta Nakajima
We consider the directed polymer model on , in an i.i.d.\ random environment , focusing on the critical dimension . Our ma…
Lipschitz-type estimate for the frog model with Bernoulli initial configuration
Van Hao Can, Naoki Kubota, Shuta Nakajima
We consider the frog model with Bernoulli initial configuration, which is an interacting particle system on the multidimensional lattice consisting of two states of particles: acti…
Upper tail large deviation for the one-dimensional frog model
Van Hao Can, Naoki Kubota, Shuta Nakajima
In this paper, we study the upper tail large deviation for the one-dimensional frog model. In this model, sleeping and active frogs are assigned to vertices on . While s…
Lipschitz-continuity of time constant in generalized First-passage percolation
Van Hao Can, Shuta Nakajima, Van Quyet Nguyen
In this article, we consider a generalized First-passage percolation model, where each edge in is independently assigned an infinite weight with probability , a…