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6 papers · 2 filters
Infinite energy solutions to vortex equations governing the fractional quantum Hall effect
Joseph Esposito
In this paper, we utilize weighted Sobolev spaces to establish an existence theory for infinite energy solutions to a coupled non-linear elliptic system. This system describes the…
An indefinite system of equations governing the fractional quantum Hall effect
Joseph Esposito
In this paper, we establish existence of solutions to an indefinite coupled non-linear system. We use partial coercivity to establish existence of a critical point to an indefinite…
The sine process under the influence of a varying potential
Thomas Bothner, Percy Deift, Alexander Its +1
We review the authors' recent work \cite{BDIK1,BDIK2,BDIK3} where we obtain the uniform large asymptotics for the Fredholm determinant $D(s,γ):=\det(I-γK_s\upharpoonright_{L^2(…
Calculating the symmetry number of flexible sphere clusters
Emilio Zappa, Miranda Holmes-Cerfon
We present a theoretical and computational framework to compute the symmetry number of a flexible sphere cluster in , using a definition of symmetry that arises natur…
Split property for free massless finite helicity fields
Roberto Longo, Vincenzo Morinelli, Francesco Preta +1
We prove the split property for any finite helicity free quantum fields. Finite helicity Poincaré representations extend to the conformal group and the conformal covariance plays a…
Domain Wall Solitons Arising in Classical Gauge Field Theories
Lei Cao, Shouxin Chen, Yisong Yang
Domain wall solitons are basic constructs realizing phase transitions in various field-theoretical models and are solutions to some nonlinear ordinary differential equations descen…