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Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
Integrable operators Riemann-Hilbert approach Deift-Zhou method asymptotical analysis of Fredholm determinants
2015/1/19
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
High-precision measurement of the thermal exponent for the three-dimensional XY universality class
Accuracy of measurement measurement superfluids lipase
2014/12/20
Simulation results are reported for the critical point of the two-component ϕ4 field theory. The correlation-length exponent is measured to high precision with the result ν=0.6717(3). This value ...
The Kardar-Parisi-Zhang equation and universality class
The Kardar-Parisi-Zhang equation universality class Disordered Systems and Neural Networks
2011/6/8
Abstract: Brownian motion is a continuum scaling limit for a wide class of random processes, and there has been great success in developing a theory for its properties (such as distribution functions ...
Universality Class in Abelian Sandpile Models with Stochastic Toppling Rules
self-organized criticality sandpile model universality class
2007/8/15
2005Vol.44No.3pp.483-486DOI:
Universality Class in Abelian Sandpile Models with Stochastic Toppling Rules
PAN Gui-Jun,1,2 ZHANG Duan-Ming,1 SUN Hong-Zhang,1
and YIN Yan-Ping1
...