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15 papers · 1 filter
Nonlinear Coherent Structures in Granular Crystals
C. Chong, Mason A. Porter, P. G. Kevrekidis +1
The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from d…
Shock and Rarefaction Waves in Generalized Hertzian Contact Models
Hiromi Yasuda, Christopher Chong, Jinkyu Yang +1
In the present work motivated by generalized forms of the Hertzian dynamics associated with granular crystals, we consider the possibility of such models to give rise to both shock…
Soft Photon and Graviton Theorems in Effective Field Theory
Henriette Elvang, Callum R. T. Jones, Stephen G. Naculich
Extensions of the photon and graviton soft theorems are derived in 4d local effective field theories with massless particles of arbitrary spin. We prove that effective operators ca…
Next-to-soft corrections to high energy scattering in QCD and gravity
A. Luna, S. Melville, S. G. Naculich +1
We examine the Regge (high energy) limit of 4-point scattering in both QCD and gravity, using recently developed techniques to systematically compute all corrections up to next-to-…
Positive harmonic functions of transformed random walks
Behrang Forghani, Keivan Mallahi-Karai
In this paper, we will study the behavior of the space of positive harmonic functions associated with the random walk on a discrete group under the change of probability measure by…
Random Matrix Ensembles with Split Limiting Behavior
Paula Burkhardt, Peter Cohen, Jonathan Dewitt +6
We introduce a new family of random real symmetric matrix ensembles, the -checkerboard matrices, whose limiting spectral measure has two components which can be dete…