Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Gemmer, John A."'
Stochastic systems are used to model a variety of phenomena in which noise plays an essential role. In these models, one potential goal is to determine if noise can induce transitions between states, and if so, to calculate the most probable escape p
Externí odkaz:
http://arxiv.org/abs/2407.18052
Autor:
Slyman, Katherine, Gemmer, John A., Corak, Nicholas K., Kiers, Claire, Jones, Christopher K. R. T.
A presumed impact of global climate change is the increase in frequency and intensity of tropical cyclones. Due to the possible destruction that occurs when tropical cyclones make landfall, understanding their formation should be of mass interest. In
Externí odkaz:
http://arxiv.org/abs/2307.15583
Publikováno v:
Physica D 439 (2022) 133424
We develop a path integral framework for determining most probable paths in a class of systems of stochastic differential equations with piecewise-smooth drift and additive noise. This approach extends the Freidlin-Wentzell theory of large deviations
Externí odkaz:
http://arxiv.org/abs/2112.12958
Autor:
Scanlon, Hannah, Gemmer, John
The spread of an infectious disease depends on intrinsic properties of the disease as well as the connectivity and actions of the population. This study investigates the dynamics of an SIR type model which accounts for human tendency to avoid infecti
Externí odkaz:
http://arxiv.org/abs/2107.10940
Autor:
Yamamoto, Kenneth K., Shearman, Toby L., Struckmeyer, Erik J., Gemmer, John A., Venkataramani, Shankar C.
Publikováno v:
Eur. Phys. J. E (2021) 44: 95
A ubiquitous motif in nature is the self-similar hierarchical buckling of a thin lamina near its margins. This is seen in leaves, flowers, fungi, corals, and marine invertebrates. We investigate this morphology from the perspective of non-Euclidean p
Externí odkaz:
http://arxiv.org/abs/2103.10509
Autor:
Slyman, Katherine, Gemmer, John A., Corak, Nicholas K., Kiers, Claire, Jones, Christopher K.R.T.
Publikováno v:
In Physica D: Nonlinear Phenomena January 2024 457
We consider a periodically-forced 1-D Langevin equation that possesses two stable periodic solutions in the absence of noise. We ask the question: is there a most likely noise-induced transition path between these periodic solutions that allows us to
Externí odkaz:
http://arxiv.org/abs/1801.05395
Publikováno v:
In Physica D: Nonlinear Phenomena November 2022 439
We explore regularity properties of solutions to a two-phase elliptic free boundary problem near a Neumann fixed boundary in two dimensions. Consider a function u, which is harmonic where it is not zero and satisfies a gradient jump condition weakly
Externí odkaz:
http://arxiv.org/abs/1708.09329
Autor:
Grimm, Christopher, Gemmer, John A.
Publikováno v:
Involve 10 (2017) 833-856
In this paper we study the brachistochrone problem in an inverse-square gravitational field on the unit disk. We show that the time optimal solutions consist of either smooth strong solutions to the Euler-Lagrange equation or weak solutions formed by
Externí odkaz:
http://arxiv.org/abs/1605.01486