44 citations · 71 across the 7 of their papers we have counts for
7 papers
A Fisher-KPP model with a nonlocal weighted free boundary: analysis of how habitat boundaries expand, balance or shrink
Chunxi Feng, Mark A. Lewis, Chuncheng Wang +1
In this paper, we propose a novel free boundary problem to model the movement of single species with a range boundary. The spatial movement and birth/death processes of the species…
Boundary states for a free boson defined on finite geometries
Marc-Andre Lewis, Yvan Saint-Aubin
Langlands recently constructed a map that factorizes the partition function of a free boson on a cylinder with boundary condition given by two arbitrary functions in the form of a…
Further evidence of the absence of Replica Symmetry Breaking in Random Bond Potts Models
Marc-Andre Lewis
In this short note, we present supporting evidence for the replica symmetric approach to the random bond q-state Potts models. The evidence is statistically strong enough to reject…
Universality and conformal invariance for the Ising model in domains with boundary
Robert P. Langlands, Marc-Andre Lewis, Yvan Saint-Aubin
The partition function with boundary conditions for various two-dimensional Ising models is examined and previously unobserved properties of conformal invariance and universality a…
Coupled Potts models: Self-duality and fixed point structure
Vladimir Dotsenko, Jesper Lykke Jacobsen, Marc-Andre Lewis +1
We consider q-state Potts models coupled by their energy operators. Restricting our study to self-dual couplings, numerical simulations demonstrate the existence of non-trivial fix…
A Renormalization Group Study of Asymetrically Coupled Minimal Models
M. -A. Lewis, P. Simon
We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the g…
Higher moments of spin-spin correlation functions for the ferromagnetic random bond Potts model
Marc-Andre Lewis
Using CFT techniques, we compute the disorder-averaged p-th power of the spin-spin correlation function for the ferromagnetic random bonds Potts model. We thus generalize the calcu…