Results 11 to 20 of about 7,227 (40)

Monte Carlo study of the hull distribution for the q=1 Brauer model

, 2006
We study a special case of the Brauer model in which every path of the model has weight q=1. The model has been studied before as a solvable lattice model and can be viewed as a Lorentz lattice gas.
Ahlfors L V, Barlow R J, Baxter R J, Baxter R J, Bernard Nienhuis, Camia F Newman C M, de Gier J, Dubédat J, Gunn J M F, Kager W, Kenyon R, Kim D, Lyklema J W, Reshetikhin N Y, Smirnov S, Varadhan S R S, Werner W, Werner W, Wouter Kager   +18 more
core   +3 more sources

The Length of an SLE - Monte Carlo Studies

, 2007
The scaling limits of a variety of critical two-dimensional lattice models are equal to the Schramm-Loewner evolution (SLE) for a suitable value of the parameter kappa.
G. Lawler, G. Lawler, G. Lawler, M. Bauer, N. Madras, O. Schramm, P. Lévy, R.M. Dudley, S. Smirnov, T. Kennedy, T. Kennedy, T. Kennedy, Tom Kennedy, U. Wolff, V. Beffara, W. Fernández de la Vega   +15 more
core   +3 more sources

Area distribution of the planar random loop boundary

, 2004
We numerically investigate the area statistics of the outer boundary of planar random loops, on the square and triangular lattices. Our Monte Carlo simulations suggest that the underlying limit distribution is the Airy distribution, which was recently ...
Cardy J L, Christoph Richard, Duchon P, Janse van Rensburg E J, Jensen I, Kennedy T, Kennedy T, Lawler G F, Lawler G F Schramm O Werner W, Louchard G, Madras N, Mandelbrot B, Prellberg T, Press W H, Richard C, Richard C Jensen I Guttmann A J D Iagolnitzer V Rivasseau J Zinn-Justin, Smirnov S, Werner W   +17 more
core   +1 more source

Conformal Invariance and Stochastic Loewner Evolution Predictions for the 2D Self-Avoiding Walk - Monte Carlo Tests

, 2003
Simulations of the self-avoiding walk (SAW) are performed in a half-plane and a cut-plane (the complex plane with the positive real axis removed) using the pivot algorithm.
Kennedy, Tom
core   +2 more sources

Uniform Central Limit Theorem for martingales [PDF]

, 2014
We study some sufficient conditions imposed on the sequence of martingale differences (m.d.) in the separable Banach spaces of continuous functions defined on the metric compact set for the Central Limit Theorem in this space.
Sirota, L.
core  

Finite rank perturbations in products of coupled random matrices: From one correlated to two Wishart ensembles

, 2018
We compare finite rank perturbations of the following three ensembles of complex rectangular random matrices: First, a generalised Wishart ensemble with one random and two fixed correlation matrices introduced by Borodin and P\'ech\'e, second, the ...
Akemann, Gernot, Checinski, Tomasz, Liu, Dang-Zheng, Strahov, Eugene   +3 more
core   +1 more source

Global properties of Stochastic Loewner evolution driven by Levy processes

, 2007
Standard Schramm-Loewner evolution (SLE) is driven by a continuous Brownian motion which then produces a trace, a continuous fractal curve connecting the singular points of the motion. If jumps are added to the driving function, the trace branches.
Appelbaum D, Beliaev D Smirnov S, Chen Z-Q Rohde S, Duplantier B Lapidus M L van Frankenhuijsen M, Gruzberg I A, Guan Q, Guan Q Winkel M, I A Gruzberg, I Rushkin, L P Kadanoff, Lawler G F, P Oikonomou, Rohde S, Rushkin I, Rushkin I, Samorodnitsky G, Sato K, Schramm O, Werner W   +18 more
core   +3 more sources

Expansion of Iterated Stochastic Integrals with Respect to Martingale Poisson Measures and with Respect to Martingales Based on Generalized Multiple Fourier Series

, 2020
We consider some versions and generalizations of the approach to expansion of iterated Ito stochastic integrals of arbitrary multiplicity $k$ $(k\in\mathbb{N})$ based on generalized multiple Fourier series. The expansions of iterated stochastic integrals
Kuznetsov, Dmitriy F.
core  

Generalized flows, intrinsic stochasticity, and turbulent transport. [PDF]

Proc Natl Acad Sci U S A, 2000
E W, Vanden Eijnden E.
europepmc   +1 more source

Disentangling the individual and contextual effects of math anxiety: A global perspective

Proceedings of the National Academy of Sciences of the United States of America, 2022
Nathan T T Lau, Zachary Hawes, Paul F Tremblay   +2 more
exaly