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27 papers · 1 filter
Orthogonality Catastrophe in Quantum Sticking
Dennis P. Clougherty, Yanting Zhang
The probability that a particle will stick to a surface is fundamental to a variety of processes in surface science, including catalysis, epitaxial growth, and corrosion. At ultral…
No Stability Switching at Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schroedinger Equations
Jianke Yang
Saddle-node bifurcations arise frequently in solitary waves of diverse physical systems. Previously it was believed that solitary waves always undergo stability switching at saddle…
Computing zeta functions of sparse nondegenerate hypersurfaces
Steven Sperber, John Voight
Using the cohomology theory of Dwork, as developed by Adolphson and Sperber, we exhibit a deterministic algorithm to compute the zeta function of a nondegenerate hypersurface defin…
Twitter reciprocal reply networks exhibit assortativity with respect to happiness
Catherine A. Bliss, Isabel M. Kloumann, Kameron Decker Harris +2
The advent of social media has provided an extraordinary, if imperfect, 'big data' window into the form and evolution of social networks. Based on nearly 40 million message pairs p…
Quantum Criticality for Extended Nodes on a Bethe Lattice in the Large Connectivity Limit
James M. Murray, Adrian Del Maestro, Zlatko Tesanovic
Theoretical description of anisotropic systems, such as layered superconductors and coupled spin chains, is often a challenge due to the different natures of interactions along dif…
General high-order rogue waves and their dynamics in the nonlinear Schroedinger equation
Yasuhiro Ohta, Jianke Yang
General high-order rogue waves in the nonlinear Schroedinger equation are derived by the bilinear method. These rogue waves are given in terms of determinants whose matrix elements…